at what values of theta is the vertical component ay of the acceleration vector greatest in magnitude

Answers

Answer 1

The values of theta is the vertical component ay of the acceleration vector greatest in magnitude at  90° and 270°.

Multidimensional stir with constant acceleration can be treated the same way as shown in the former chapter for one- dimensional stir. before we showed that three- dimensional stir is original to three one- dimensional movements, each along an axis vertical to the others.

To develop the applicable equations in each direction, let’s consider the two- dimensional problem of a flyspeck moving in the xy aeroplane with constant acceleration, ignoring the z- element for the moment.

Thinking of circles as parametric equations:

ry=sinθ

rx=cosθ

Note that I have limited θ:     0° <=θ < 360°

Also note that the greatest magnitude of sine and cosine functions is1.

This problem is based only on the y-component, so just consider ry=sinθ.

It hast he greatest magnitude (vertical distance from the center) at90° (and 270°).

Takethe derivative for velocity.

vy=cosθ

It has the greatest magnitudes at 0° and 180°.

Take the derivative for acceleration

ay=-sinθ

It has the greatest magnitudes at 90° and 270°

Learn more about Acceleration vector:

https://brainly.com/question/17455419

#SPJ4

Complete question:

At what value(s) of is the vertical component ay of the acceleration vector greatest in magnitude? (Several choices may be correct.) 0° 90° 180° 270°


Related Questions

Express all answers in scientific notation and state their units clearly Given D = M/V Find D When M = 2.5kg V =50m³​

Answers

Answer:

In scientific notation, the density would be 5 x 10^-2 kg/m³ or 5 x 10^-2 g/cm³.

Explanation:

To find D, we just need to divide M by V.

M = 2.5 kg

V = 50 m³

D = M/V = 2.5 kg / 50 m³ = 0.05 kg/m³

The unit of density (D) is kg/m³, which can also be expressed as g/cm³.

In scientific notation, the density would be 5 x 10^-2 kg/m³ or 5 x 10^-2 g/cm³.

a charge of 21 nc is uniformly distributed along a straight rod of length 3.6 m that is bent into a circular arc with a radius of 2.5 m. what is the magnitude of the electric field at the center of curvature of the arc?

Answers

A straight rod of length 3.6 m is bent into a circular arc with a radius of 2.5 m, dispersing a charge of 21 nc evenly throughout its length. The strength of the electric field at the arc's curvature center is 11.868 N/C.

l=rθ

3.6=2.5θ

θ=82.5°

E=[tex]\frac{\lambda }{4\pi E_{o}r }(sin\frac{\theta }{2} +sin\frac{\theta }{2} )[/tex]

E=[tex]\frac{a/l }{4\pi E_{o}r }(2 sin\frac{\theta }{2} )[/tex]

E=[tex]\frac{9*10^{9} }{2.5}*\frac{21*10^{-9}}{3.6} (2 sin\frac{82.5 }{2} )[/tex]

E=11.868 N/C

In physics, an electric field is a fundamental concept that describes the effect of electric charges on the space around them. Electric fields arise due to the presence of charged particles or electrically charged objects. The electric field is a vector field that describes the force experienced by a charged particle at any given point in space. The strength of the electric field is measured in units of volts per meter (V/m) and is directly proportional to the amount of charge and inversely proportional to the distance between the charges. The electric field plays a critical role in a variety of physical phenomena, including electric motors, electronics, and the behavior of charged particles in particle accelerators.

Learn more about electric field here:

https://brainly.com/question/21879702

#SPJ4

Which type of satellite is useless for meteorologists at 3AM?
Select one:
a. visible satellite imagery
b. infrared satellite imagery
c. water vapor imagery

Answers

The answer is a because you need light in order to use it

in a ________ fault, the hanging wall block moves up with respect to the footwall block.
.A) normal B) strike slip C) reverse D) abnormal

Answers

In a Reverse fault, the hanging wall block moves up with respect to the footwall block.

What is Reverse fault?

Reverse fault is a type of fault in which two blocks of earth's crust move away from each other, resulting in the upper block of crust being pushed up above the lower block. It is the opposite of a normal fault, in which two blocks of crust move towards each other. The reverse fault typically occurs when the Earth’s tectonic plates come together and a compressional force pushes up and over the lower plate. This type of fault is usually seen in regions of convergence between two plates and is common along convergent plate boundaries. The reverse fault is usually accompanied by large earthquakes as the plates move against each other. The reverse fault can also be caused by the bending of the Earth’s crust in response to forces such as erosion, volcanic activity and sedimentation. These forces can cause the crust to buckle and rise, resulting in a reverse fault.

To learn more about Reverse fault
https://brainly.com/question/9525597
#SPJ1

which of the following is the best example of kinetic energy? ? a bird flying through the air ? a compressed spring ? a hammer set on a table ? a woodpecker about to hammer a tree

Answers

The best example of kinetic energy is a bird flying through the air. Kinetic energy is the energy an object possesses through motion.

What is kinetic energy?

Kinetic energy is the power a moving item uses to move. It is the energy of an object caused by its movement.It is the energy that an object has due to its movement. It is calculated by multiplying the object's mass by the square of its speed. The kinetic energy is directly proportional to the mass of the body and the square of its speed. Kinetic energy is a form of energy in motion, such as B. a moving car, a flying ball or a walking person. It is a form of energy associated with the movement of an object.

Kinetic energy is an important concept in physics because it is used to explain many phenomena and in many calculations.

To learn more about kinetic energy

brainly.com/question/25959744

#SPJ1

What are the radiation types in order from lowest to highest energy?

Answers

Alpha, beta, and gamma radiation types are listed from lowest to highest energy.

The three forms of radiation were investigated by Rutherford. A helium nucleus, which has a large mass and a limited range, makes up the alpha particle in alpha radiation, which is made up of two protons and two neutrons. Beta radiation is composed primarily of electrons and may reach up to one meter in distance. Gamma radiation, for example, is made up of very energetic photons (it does not have my electrical charge or resting mass).

The particles that are released by radioactive materials have energy. There are three different kinds of particles: alpha, beta, and gamma. The penetrating power of the particles determines their energy.

Alpha rays < Beta rays < Gamma rays

To know more about radiation on

https://brainly.com/question/13575936

#SPJ4

why is the moment of inertia of a hoop that has a mass m and a radius r greater than the moment of inertia of a disk that has the same mass and radius?

Answers

Moment of inertia of hoop is greater than disk of same mass and radius because hoop mass is at greater distance from the axis of rotation.

Moment of inertia measures an object's resistance to rotational motion around given axis. Depends on mass distribution geometry of object. Hoop's Moment of inertia is greater than disk with same mass and radius as hoop's mass is at greater distance from axis of rotation.

A hoop is a thin circular ring, and all its mass is located on its outer edge. Therefore, the mass is concentrated at a maximum distance from the axis of rotation, resulting in a larger moment of inertia. In contrast, a disk has a more uniform mass distribution, with the mass distributed closer to the axis of rotation than in the case of the hoop. As a result, a disk has a smaller moment of inertia than a hoop with the same mass and radius.

To illustrate this concept, consider two objects with the same mass and radius: a solid disk and a hoop with no thickness. The moment of inertia of the hoop is twice that of the disk, even though they have the same mass and radius. This is because all the mass of the hoop is located at a larger radius than the mass in the disk, leading to a larger moment of inertia.

Learn more about moment of inertia here:

https://brainly.com/question/15246709

#SPJ4

an underwater vehicle has eightsensors, each having a 5 m range. the speed of sound in water is 1482 m/s. compute the frequency of measurement cycles, a cycle being one complete series of measurements from all eight sensors.

Answers

The frequency of measurement cycles is 148.2 Hz, a cycle being one complete series of measurements from all eight sensors.

Given the range of each sensor= 5m

The speed of sound in water = 1482m/s

Let the frequency cycles = n

The frequency of measurement cycles is based on the time it takes for sound waves to travel from each sensor to the vehicle and back.

The round trip time for each sensor is 2 x 5 m = 10 m, divided by the speed of sound in water, 1482 m/s. The result is [tex]6.73 * 10^{-3}[/tex]seconds or 6.73 milliseconds.

The frequency of measurement cycles is then [tex]1/6.73 * 10^{-3}[/tex], which is 148.2 Hz (cycles per second).

To learn more about frequency click here https://brainly.com/question/2140860

#SPJ4

three motions are listed: an object changes direction an object changes mass an object changes position which of the three is considered acceleration? a only b only a and c b and c

Answers

Acceleration is a measure of how quickly an object changes its velocity, and is given by the rate of change of its velocity over time.

Of the three motions listed, changing direction and changing position are considered acceleration. This is because changing direction involves a change in velocity, even if the speed remains constant. Similarly, changing position involves a change in velocity, as the object is accelerating in a particular direction. On the other hand, changing mass is not considered acceleration because it does not affect the object's velocity. While it may affect other properties of the object's motion, such as its momentum or kinetic energy, it does not result in a change in velocity, and therefore is not considered acceleration. Acceleration is a measure of how quickly an object changes its velocity, and is given by the rate of change of its velocity over time.

Learn more about velocity :

https://brainly.com/question/17127206

#SPJ4

Answer:

A and B

Explanation:

I took the exam

what if? if the woman still pulls on the strap with a 34.5 n force but wishes to accelerate the suitcase at a rate of 0.500 m/s2, at what angle (in degrees) must she pull on the strap? assume that the rolling friction is independent of the angle of the strap.

Answers

The angle at which the woman pull on the strap with a 34.5N force but wishes to accelerate the suitcase at a rate of 0.500 m/s2 is 0°

Given:

F = 34.5 N

Friction force = 20.0 N

m = 16.5 kg

The net force, Fnet, must be equal to the mass of the suitcase, 16.5 kg, times the acceleration, 0.500 m/s^2, or 8.25 N.

Fnet = ma

8.25 N = 16.5 kg * 0.500 m/s^2

The net force, Fnet, will be equal to the force of the strap, F, minus the friction force, Ffriction, or 34.5 N - 20.0 N = 14.5 N.

Fnet = F - Ffriction

14.5 N = 34.5 N - 20.0 N

To find the angle, θ, at which the strap must be pulled, we can use the following equation:

Fnet = Fcosθ - Ffriction

14.5 N = 34.5 Ncosθ - 20.0 N

Solving for θ, we get:

θ = 0°

To learn more about force click here https://brainly.com/question/13191643

#SPJ4

complete question: A woman at an airport is towing her 16.5 kg suitcase at a constant speed by pulling on a strap at an angle θ above the horizontal (see figure). She pulls on the strap with a 34.5N force, and the friction force on the suitcase is 20.0 N. A woman holds the strap of a suitcase while pulling it to the right. The strap makes an angle θ measured counterclockwise from the horizontal. What If? If the woman still pulls on the strap with a 34.5 N force but wishes to accelerate the suitcase at a rate of 0.500 m/s2, at what angle (in degrees) must she pull on the strap? Assume that the rolling friction is independent of the angle of the strap

Ultraviolet, visible, and infrared light are all examples of _______ radiation, which has the properties of both particles and __________.

Answers

Answer:

Ultraviolet, visible, and infrared light are all examples of electromagnetic radiation, which has the properties of both particles and waves.

Explanation:

Steady precipitation preceding a front is an indication of:a) stratiform clouds with moderate turbulence
b) cumuliform clouds with little or no turbulence
c) stratiform clouds with little or no turbulence

Answers

Steady precipitation preceding a front is most likely an indication of stratiform clouds with little or no turbulence.

The steady precipitation preceding a front is an indication of stratiform clouds with little or no turbulence. Stratiform clouds are layered and cover a large area, producing a wide, steady, and uniform precipitation that can last for many hours. These clouds form when moist air is lifted and cooled, resulting in a broad cloud layer with a relatively uniform base and top.

The steady precipitation ahead of a front is often caused by the uplift of warm air over cooler air, which creates a wide, relatively stable front. This stable front tends to produce stratiform clouds that extend over a large area and produce steady precipitation. On the other hand, cumuliform clouds are characterized by vertical development, producing showers and thunderstorms with a lot of turbulence.

Learn more about precipitation here:

https://brainly.com/question/18109776

#SPJ4

What is the correct symbol and units of wavelength?

Answers

In wireless systems, wavelength is often expressed in metres (m), centimetres (cm), or millimetres (mm). Wavelength is typically represented by the Greek symbol lambda (λ).

The wavelength is the separation between the corresponding points of two succeeding waves, and is equal to the speed (v) of a wave train in a medium divided by its frequency (f). When two points or particles are referred to be "corresponding points," it means that they are both in the same phase and have completed exactly the same portions of their periodic motion. Typically, the wavelength of transverse waves—those whose points advance at right angles to one another—is measured from crest to crest or from trough to trough; for longitudinal waves—those whose points advance in the same direction—the wavelength is measured from compression to compression or from rarefaction to rarefaction.

Learn more about Wavelength here:

https://brainly.com/question/7143261

#SPJ4

An airplane flies with a constant speed of
540 miles per hour. How long will it take to travel a distance of 2160 miles?

Answers

Answer:

4 hours

Explanation:

2160 miles ÷ 540 miles/hr = 4

(c) Determine the total work done on the ball from A to B

Answers

V = sqrt (KE * 2 / m) = 4.913 m/s, where KE = 0.5 * 0.58 * 1.6*1.6 = 0.7424 J. (c) Work done = change in KE = 7 - 0.7424 = 6.2576 J.

Work is the energy used by one thing to move another object across a distance by applying a force. The equation W = F x d calculates the work done on an item with a given force, F, and a certain distance, d. It should be noted that this equation presupposes that the force is applied in a direction parallel to the object's direction of motion. How to manage non-parallel circumstances will be covered in a later lecture.

When we apply force "F" to a block, the body moves with some acceleration or, moreover, its speed increases or decreases depending on the direction of the force. The system's kinetic energy changes as speed increases or decreases.

Learn more about Work done here:

https://brainly.com/question/10334435

#SPJ4

The complete question is:

A 0.58 kg rubber ball has a speed of 1.60 m/s at point A and kinetic energy of 7.0 J at point B. (a) Determine the ball's kinetic energy at A (b) Determine the ball's speed at B (c) Determine the total work done on the ball from A to B

Which statement about the Native Americans in Carolina is true?
A.The Yamasee Indians left Carolina and joined the Iroquois Confederacy.

B.The Carolina settlers nearly destroyed the Cherokee tribe.

C.The Yamasee Indians joined the settlers to fight against the Cherokee.

D.The Yamasee and Tuscarora Indians left the area for new homes.

Answers

The statement that is true about the Native Americans in Carolina is     (D). The Yamasee and Tuscarora Indians left the area for new homes.

In the early 1700s, the Yamasee and Tuscarora tribes, who had been allies of the British settlers in Carolina, turned against them due to various issues, such as trading problems and the settlers' increasing encroachment on their lands. The tribes launched attacks on the settlements, which led to a war that lasted for several years. The settlers ultimately defeated the tribes, and many Yamasee and Tuscarora Indians were forced to leave the area and seek new homes elsewhere. The war and subsequent displacement of Native Americans had a significant impact on the development of Carolina and the relations between the British settlers and Native American tribes.

To know more about tribes visit:

https://brainly.com/question/9582616

#SPJ1

two point charges, a and b, are separated by a distance of 17.0 cm . the magnitude of the charge on a is twice that of the charge on b. if each charge exerts a force of magnitude 47.0 n on the other, find the magnitudes of the charges.

Answers

The charge on plate a is [tex]54.8 * 10^{-3}C[/tex] while that on plate b is [tex]27.4 * 10^{-3}C[/tex] that are separated by a distance of 17.0 cm.

Let the magnitude of the charge on charge a be qa and that of the charge on charge b be qb.

The magnitude of the force on each charge due to the other charge can be found using Coulomb's law:

[tex]F = k(qa*qb)/r^2,[/tex]

where k is the Coulomb constant, qa is the magnitude of the charge on charge a, qb is the magnitude of the charge on charge b, and r is the distance between the two charges.

Given the  force of magnitude = 47.0N

The distance between the charges are = 17cm

Since the magnitude of the charge on charge a is twice that of the charge on charge b, we can write:

qa = 2qb

Substituting the given values into the equation, we get:

[tex]47.0 N = (8.99 * 10^9 Nm^2/C^2)(qa*qb)/(17.0cm)^2[/tex]

Rearranging, we get:

[tex]qaqb = (47.0 N)*(17.0 cm)^2/(8.99 * 10^9 Nm^2/C^2)[/tex]

[tex]qb^2 = 754.6 * 10^{-9}[/tex]

[tex]qb = 27.4 * 10^{-3}C[/tex]

then [tex]qa = 2 * 27.4 * 10^{-3} = 54.8 *10^{-3}C[/tex]

To learn more about force click here brainly.com/question/13191643

#SPJ4

oppositely charged parallel plates are separated by 5.16 mm. a potential difference of 600 v exists between the plates. (a) what is the magnitude of the electric field between the plates?

Answers

The magnitude of the electric field between the plates is 116279 N/C.  A parallel-plate capacitor is a device that stores electric charge and electric potential energy.

The electric field between the plates of a parallel-plate capacitor is given by:

E = V/d

where E is the electric field (in N/C), V is the potential difference (in volts), and d is the distance between the plates (in meters).

In this problem, we are given V = 600 V and d = 5.16 mm = 0.00516 m. Substituting these values into the equation, we get:

E = V/d

E = 600 V / 0.00516 m

E = 116279 N/C

Therefore, the magnitude of the electric field between the plates is 116279 N/C

A parallel-plate capacitor is a device that stores electric charge and electric potential energy. It consists of two conducting plates separated by a small distance, with the space between the plates filled with an insulating material (called a dielectric).

In this problem, we were given the potential difference and the distance between the plates, and we used the formula for the electric field to calculate its magnitude. The electric field is a fundamental concept in electromagnetism, and it plays an important role in a wide range of phenomena, from the behavior of charged particles to the operation of electronic devices.

Learn more about dielectric here:

https://brainly.com/question/30523009

#SPJ4

If a meteor with a 20 m in diameter impacts Earth on land, approximately how big will the crater be? a) 50 to 100 m in diameter. b) 200-400 m in diameter. c) 300-500 m in diameter.

Answers

A meteorite crater is a depression created when a spacecraft from another planet or solar system collides with Earth or another relatively big solid body, such as the Moon, another planet and its satellites, or larger asteroids and comets. Thus, option A is correct.

What is the meteor related to crater?

A crater will most likely be created at the point of impact when a meteor impacts a planet. The size of the crater will increase as the object moves faster and becomes larger or heavier. The biggest predictors of impact crater size are the meteor's mass and velocity.

When a smaller solid object, such as an asteroid or meteorite, strikes the surface of a bigger solid object, such as a planet or moon, an impact crater is created.

Therefore, approximately big will the crater be 50 to 100 m in diameter.

Learn more about meteor here:

https://brainly.com/question/11504264

#SPJ4

the range of possible frequencies of radiation is called the ______ spectrum.

Answers

The range of possible frequencies of radiation is called the electromagnetic spectrum.

What is the electromagnetic spectrum and how is it classified?

The electromagnetic spectrum is the variety of all possible frequencies of electromagnetic radiation. This consists of radio waves, microwaves, infrared radiation, seen mild, ultraviolet radiation, X-rays, and gamma rays. The spectrum is classed based totally at the frequency and wavelength of the radiation, with each sort of radiation occupying a specific area of the spectrum. The class is primarily based on their capability to tour thru one of a kind substances and their interactions with matter. The distinct areas of the spectrum have an expansion of realistic applications, from conversation technology to medical imaging.

To know more about Electromagnetic Spectrum visit:

https://brainly.com/question/23727978

#SPJ4

what is the energy of a radio photon from the same station?

Answers

A radio photon is a quantum of electromagnetic radiation in the radio frequency range of the electromagnetic spectrum. Electromagnetic radiation is a type of energy that travels through space as waves, and is characterized by its frequency, wavelength, and energy.

What is the energy of a radio photon from the same station?

The energy of a radio photon from a particular radio station depends on the frequency of the radio wave, which is typically measured in Hertz (Hz). The energy of a photon is given by Planck's equation:

E = h*f

where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 joule-seconds), and f is the frequency of the wave.

For a typical radio station, the frequency of the radio wave is in the range of several hundred kilohertz to several megahertz. Let's take the example of a radio station that broadcasts at a frequency of 1000 kilohertz (1 megahertz).

Using the equation above, we can calculate the energy of a single photon of this radio wave as follows:

E = 6.626 x 10^-34 J*s * 1 x 10^6 Hz

E = 6.626 x 10^-28 joules

So, the energy of a radio photon from a 1-megahertz radio station is about 6.626 x 10^-28 joules.

To know more about radio photon visit:

https://brainly.com/question/14291666

#SPJ4

you're flying a cessna 182 skylane, n935fa, on a cross-country vfr flight with flight following. during a handoff, the ideal call sign to use when contacting the new controller is .

Answers

You're flying a Cessna 182 Skylane, N935FA, on a cross-country VFR flight with flight following. During a handoff, the ideal call sign to use when contacting the new controller is Skylane 935FA.

Flight following is a relatively simple concept as it’s an aircraft flying under VFR that is taking use of Air Traffic Control (ATC) services. Practically, it indicates that several advisories may be available from the controller and the flight is radar identified by ATC.

The service is given on a workload-permitting basis and involves multiple layers of service, there’s not entirely uniform delivery among Center or Approach control facilities. The fusion of these realities has resulted in misinformation, misunderstandings, and even no awareness of its existence.

To learn more about VFR flight,

brainly.com/question/14308163

#SPJ4

Can someone help me with this

Answers

(a) For graph A the object is moving at a zero constant speed.

(b) For graph B the object is moving at a constant speed greater than zero.

(c) For graph C the object is moving a uniform speed.

What is constant and uniform velocity?

Constant velocity refers to a situation in which an object moves at a constant speed in a straight line. This means that the magnitude of the velocity (i.e. the speed) of the object remains the same over time, while its direction may or may not change.

Uniform velocity refers to a situation in which an object moves with a constant speed, but also changes its direction. In other words, the object has a constant magnitude of velocity (i.e. speed), but its direction is constantly changing. An object moving in a circular path at a constant speed is an example of an object with uniform velocity.

Learn more about constant and uniform velocity here: https://brainly.com/question/17487511

#SPJ1

a boy on a ladder 2.0 m high has a mass of 63.5 kg. what is his potential energy, relative to the ground?

Answers

The potential energy relative to ground will be 1245.445 J. If mass= 63.5 kg, height =2m.

What is potential energy?

Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements. 

The gravitational potential energy of an item, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field are examples of common types of potential energy. The joule, denoted by the letter J, is the energy unit in the International System of Units (SI).

Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the word potential energy was coined by the Scottish engineer and physicist William Rankine in the 19th century[3][4]. Forces acting on a body in a way that increases the total work have potential energy attached to them.

To know more about potential energy visit:

https://brainly.com/question/24284560

#SPJ1

(ii) One possible path of the spacecraft as it approaches the planet is shown in fig.1.1 The spacecraft enters the orbit at point A with speed 3.7x10^3 ms^-1.At point B, a distance of 5.00x10^7 from the centre of the planet, the spacecraft has a speed of 4.1x10^3ms^-1. The mass of the spacecraft is 650kg. For the spacecraft moving from point B to point A, show that the change in gravitational potential energy of the spacecraft is8.3x10^9

Answers

The change in gravitational potential energy of the spacecraft as it moves from point B to point A is 8.3x10^9 J.

The change in gravitational potential energy of the spacecraft as it moves from point B to point A can be calculated using the formula:

                    [tex]ΔPE = -GMm(1/rA - 1/rB)[/tex] , where

ΔPE is the change in gravitational potential energy,

G is the gravitational constant,

M is the mass of the planet,

m is the mass of the spacecraft,

rA is the distance from the planet's center at point A, and

rB is the distance from the planet's center at point B.

Using the given values, we have:

[tex]ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)[/tex][tex]ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)[/tex]

Simplifying the expression, we get:

[tex]ΔPE = -8.3x10^9 J[/tex]

Therefore, the change in gravitational potential energy of the spacecraft as it moves from point B to point A is [tex]8.3x10^9[/tex]J, which is a negative value because the spacecraft is moving closer to the planet and its gravitational potential energy is decreasing.

To know more about gravity visit:

brainly.com/question/2497387

#SPJ1

your roommate is working on his bicycle and has the bike upside down. he spins the 60.0 cm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second. what is the acceleration of the pebble

Answers

The acceleration of the pebble stuck in the tread goes by three times every second is 106.592 m/s².

Diameter = 60 cm, Radius = 60/2 = 30 cm = 30/100 = 0.3 m.

The pebble in the tread goes by 3 times every second.

This is the same as 3 times per second.

Recall the unit of frequency is Hertz or per second, s⁻¹

So 3 times per second, Frequency, f = 3s⁻¹ or 3 Hertz

For angular motion:

Angular speed, ω = 2πf

                        = 2*π*3

                        = 6π   rad/s

Linear speed, v = ωr =  6π * 0.3 = 1.8π m/s

Linear acceleration, a = v² / r

                              a = 1.8π * 1.8π / 0.3 = 10.8π²   m/s²

Angular acceleration α = a/r  = 10.8π² / 0.3 = 36π² rad/s²

Angular speed = 6π rad/s ≈ 18.840 rad/s

The linear speed of the pebble = 1.8π  m/s ≈ 5.655 m/s

The angular acceleration = 36π² rad/s² ≈ 355.306 rad/s²

The linear acceleration of the pebble = 10.8π²  m/s ≈ 106.592 m/s²

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.

Learn more about Acceleration:

https://brainly.com/question/1466119

#SPJ4

A pipe 1.00 m long is closed at one end. A guitar is placed near the open end of the tube and the string is plucked. The guitar string is 0.50 meters long and has a mass of 0.0010 kg. The string vibrates in its fundamental mode (1st harmonic) and produces a 1st overtone (3rd harmonic) standing wave in the closed pipe. If the speed of sound is 340 m/s, determine the tension in the guitar string.

Hint: the frequency of the vibrating guitar string is the same as the frequency produced in the closed pipe.

Answers

The tension in the guitar string is approximately 165 N.

How to  determined the fundamental frequency (1st harmonic) of the closed pipe

The fundamental frequency (1st harmonic) of the closed pipe

can be determined using the formula:

f = v/2L

where

f is the frequencyv is the speed of sound L is the length of the pipe

Substituting the given values, we get:

f = 340 m/s / 2(1.00 m) = 170 Hz

The frequency of the 1st overtone (3rd harmonic) is three times the fundamental frequency, so:

f_overtone = 3f = 3(170 Hz) = 510 Hz

The tension in the guitar string can be determined using the formula:

f = 1/2L√(T/μ)

where T is the tension in the string and μ is the linear mass density (mass per unit length) of the string. The linear mass density can be determined from the given mass and length of the string:

μ = m/L = 0.0010 kg / 0.50 m = 0.0020 kg/m

Substituting the given and calculated values, we get:

510 Hz = 1/2(0.50 m)√(T/0.0020 kg/m)

Simplifying and solving for T, we get:

T = (4π^2)(0.0020 kg/m)(510 Hz)^2(0.50 m)^2 = 165 N

Therefore, the tension in the guitar string is approximately 165 N.

Learn more about fundamental frequency here : brainly.com/question/21482458

#SPJ1

uppose you have two metal cubes, one made of iron and one made of aluminum. You transfer the same amount of heat Q to each of them. Which cube will have the higher final temperature, given they have the same masses and initial temperatures?a. Iron Cubeb. Aluminum Cube

Answers

Answer:

Q = C M ΔT    where C is specific heat in cal / gm*deg C

C (Fe) = .11

C (Al) = .22

obviously ΔT has to be twice as great for Iron (Fe) as for (Al) for the same amount of heat to be transferred

ΔT = Q /(C * M)      where ΔT is the change in temperature

a) iron would have the higher final temperature

webassign astronomy light from the sun takes 8 minutes to reach earth. how long (in min) does it take to reach saturn, 9.55 au from the sun?

Answers

The required time for the light to reach Saturn from the Sun is calculated to be 76.4 min.

It is given that the light takes 8 minutes to reach the Earth from the Sun.

We are told to determine how long it takes for light to travel from the Sun to Saturn.

The distance between the Saturn and the Sun is given as 9.55 au.

Distances in solar system are measured in astronomical units.

The separation between the Earth and the Solar is 1 au.

For 1 au, it takes 8 minutes.

So, for 9.55 au it takes, 9.55(8) = 76.4 min.

As a result, it takes some time for the radiation from the Sun to reach Saturn.

To know more about time:

https://brainly.com/question/4247648

#SPJ4

How do you solve questions 3 and 4?

Answers

Answer:

Q3) B Q4) D

Explanation:

I looked at the photo and they were circled. Hope this helps!!

Other Questions
A bag contains 8 green marbles and 32 blue marbles. If a representative sample conBecause the ratio of green marbles to blue males is 1:4 in the population, the ebe 8 blue marbles. 50 POINTS I need help asapTechnology Through the AgesFor this assignment, you will complete the Technology Through the Ages project as outlined on the Office ofSuperintendent of Public Instruction (OSPI) website. Follow the steps closely and use the provided scoringrubric to determine how well you meet the assignment criteria.Technology Through the Ages OSPI-Developed AssessmenteconomicOSPI Project DescriptionResponsible citizens need to understand historical developments and their economic impacts in order to make informed decisions about their lives, the nation, and the world today. Using appropriate historicalresearch practices, you will write a 2-3 page analysis of how a technological change that occurred inhistory affects people's lives today.YOUR TASK. State a claim in response to an historical question about the effects of a significant idea ortechnological development that impacts our lives today. Provide evidence to support your claim, taking into consideration multiple social scienceperspectives; for example:o geographico politicalProjecto culturalo sociologicalo psychological Refer explicitly in the paper or presentation to three or more credible sources that provide relevantinformation. Cite your sources in MLA formatLIST OF POSSIBLE TOPICS Work out the area of the shaded semicircle shown below.If your answer is a decimal, give it to 2 d.p.1.68 Assuming that b is positive, solve the following equation for b.bS- 1b(2x-6)dx=13 Round your final answer to 4 decimal places.(Give the positive answer only.) Graph the line with the equation red blossom corporation transferred its 40 percent interest to tea company as part of a complete liquidation of the company. in the exchange, red blossom received land with a fair market value of $577,500. the corporation's basis in the tea company stock was $540,000. the land had a basis to tea company of $615,000. what amount of gain does red blossom recognize in the exchange and what is its basis in the land it receives? The primers play three roles in a PCR reaction. Select all of the answers that are correct. They denature the double-stranded DNA They serve as the templates onto which the new complementary strands are made. They determine what region of the genome will get amplified. They determine the size of the resulting PCR product. They provide a double-stranded region for Taq to initiate synthesis They are the monomers that are polymerized by Taq to make the new complementary strands 18. What percentage of R90 is 90c? How much interest will you earn if you deposit $2,700.00 into a simple interest account at 6.25% per annum for 3 years? How to fix "array must be initialized with a brace-enclosed initializer" ? Devise a real or invented reason to purchase a new or used car. Perhaps your family is planning to buy a car or you are planning ahead for transportation for yourself. Practice using the DECIDE steps to work through the process of choosing a car that will best meet the needs of the situation. Write out your responses below as you work through the steps. Yesterday she said to me ,"See me tomorrow". (Into Indirect speech) which component is comprised of a companys capabilities, competitors, corporate partners, and the physical environment? for two batches the ratio is 6 cups of flour to 2 cups of water for every 3 cups of flour you need 1 cup of water the ratio 3:1 is maintained which of the following is not a characteristic of those who have successfully managed ptsd? group of answer choices supportive relationships with friends and family dwelling on the trauma personal faith/religion sense of humor what was trench warfare and why did it occur ______ restricted agricultural production in the New Deal era by paying farmers subsidies not to plant part of their land and to kill off excess livestock. Its purpose was to reduce crop surplus so as to effectively raise the value of crops, thereby a portion of their fields lie fallow. The money for these subsidies was generated through an exclusive tax on companies which processed farm products. The Act created a new agency, the Agricultural Adjustment Administration, to oversee the distribution of the subsidies. It is considered the first modern U.S. farm bill. Although the AAA was overall a successful program that stimulated American agriculture, it was not without its faults. The New Deal never had the money or political power required to reach the majority of impoverished Southern tenant farmers. By the last half of the century sharecropping and tenant farming had become obsolete. PLEASE HELP ME!!!!!What role did the trans-Saharan caravan trade play in the changing religious and cultural characteristics of West Africa during the reign of the Ghana Empire? ________ results from the activities of the nervous or endocrine system. in which situations is annualization required