what is the average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second?

Answers

Answer 1

The average rotational latency of a hard drive rotating at 7,200 rpm or 120 revolutions per second is 4.16 ms.

What is the average rotational latency?Half as long as it takes the disk to complete a full spin, that is how long the rotational delay is. Rotational speed is the rate at which an object revolves or rotates. It is determined by how many rotations an item completes in a given amount of time, unlike linear speed. Rotational speed is calculated as rotations per unit of time, whereas linear speed is calculated as distance per unit of time.Rotational delay is at its worst at 7200 RPM and is typically half that at 8.33 milliseconds (4.17 ms).Rotational lag on average: 4.16 msTypical search time: 8 msMax seek: 10.5 ms

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Related Questions

Two vehicles r moving in the same direction one has the velocity of 24m/s and another has 18m/s.find their relative velocity & also their relative velocity when they are in opposite direction

Answers

When a body is moving in the same direction, its relative speed is 6m/s, while when it is moving in the opposite direction, it is 42 m/s.

Describe relative velocity and its unit.

The units used to measure speed and velocity are the same. The meter is the SI unit for measuring both distance and displacement. The second is the second as defined by the International System of Units. Two meters per second divided by two is the SI unit of velocity and speed.

What does Class 11 formula for relative velocity mean?

It is calculable using an intermediary reference frame. The velocity vector sum can be used to represent this simply. vAB = vA - vB is the way to express the relative velocity formula.

velocity is the same as the relative velocities of A and B.

A=24,B=18

Vab=24-18=6m/s

In opposite direction

Vab=24-(-18)=42m/s

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While investigating the relationship between voltage, current, and resistance, students connected different batteries to different circuits
and recorded measurements of battery voltage and current flowing through the battery. They then produced the model shown below.


Based on the data provided in the graphical model, what claim can be made about the resistance of the circuit?

A._The resistance of the circuits increased as battery voltage increased.

B._ The resistance of the circuits decreased as a battery voltage increased.

C._ The resistance of the circuits remained constant as the battery voltage increased.

D._ The resistance of the circuits could have either increased or decreased as the battery voltage increased.

Answers

Produced the model is the resistance of the circuits decreased as a battery voltage increased (option-B).

What connection does there exist between voltage and current, current and resistance, and voltage and resistance?

Ohm's Law describes how current, voltage, and resistance are related to one another. According to this, as long as the temperature doesn't change, the current flowing through a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit.

The more work a certain quantity of electrons can accomplish at a given voltage. The quantity of electrons that are presently moving through any one point in a circuit at any particular time is known as the current. At the same voltage, a larger current can perform more work. Current times voltage equals power.

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Answer:

b

Explanation:

A pumpkin is dropped from the top of a Cilk Fm broadcasting tower. What is the pumpkin's velocity 3.00 s later?

Answers

The velocity of the pumpkin 3.0 seconds after it was dropped is 29.4m/s.

What is the pumpkins velocity after 3.0 seconds?

The formula for the first equation of motion is expressed as;

v = u + gt

Where v is final velocity, u is initial velocity, g is acceleration due to gravity ( g = 9.8m/s² ) and t is time elapsed.

Given the data in the question;

Since the pumpkin was initially at rest before it was dropped.

Initial velocity u = 0Elapsed time t = 3.0s Velocity after 3 second v = ?

To determine the velocity of the pumpkin after 3 seconds, plug the given values into the above equation of motion.

v = u + gt

v = 0 + ( 9.8m/s² × 3.0s )

v = 9.8m/s² × 3.0s

v = 29.4 m/s

Therefore, the final velocity is 29.4 meter per seconds.

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a plane electromagnetic wave has an average power per unit area of 153 w/m2 . a flat, rectangular surface, 18.2 cm by 45.1 cm, is placed perpendicular to the direction of the plane wave. if the surface absorbs half the energy and reflects half, calculate the net energy absorbed in 1.22 min. answer in units of j.

Answers

Knowing the power of the units and the electromagnetic waves is necessary to calculate the net energy unit.

What is power?

Power is the work completed in a given amount of time or time spent working. The joules per second (J/s)-based SI power unit is the Watt (W). Horsepower (hp), roughly equal to 745.7 watts, is sometimes used to describe the power of machines like motor vehicles.

What are electromagnetic waves?

Magnetic and electric fields vibrate together to produce electromagnetic waves, also known as EM waves. In other words, oscillating magnetic and electric fields make up electromagnetic waves (EM).

P=I*A=t=E/t

E=I*A*T

I= 153W/M^2

A=18.2*45.1*10^-4

A=0.082082

t=1.22mins = 1.22*60^S

t= 73.2

applying the formula E=I*A*T

E= 919.2855j

Therefore, the net energy absorbed in 1.22 min is 919.285j.

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a rock is dropped from a 100-m-high cliff. how long does it take to fall (a) the first 50 m and (b) the second 50 m?

Answers

(a) For the first 50 m:

h1 = 0.5 x a x t12

50 m = 0.5 x 9.8 m/s2 x t12

t1 = 3.19 s

Time to fall first 50 m = 3.19 s

(b) For the full 100 m:

h2 = 0.5 x a x t22

100 m = 0.5 x 9.8 m/s2 x t22

t2 = 4.52 s

Time to fall second 50 m = t2 - t1 = 1.33 s

Dropped rocks and other objects gain speed rapidly as they fall. Velocity defines the direction in which a body or object is moving. Velocity is primarily a scalar quantity. Velocity is basically a vector quantity. Rate of change of distance.

If our planet loses gravity for even 5 seconds it means the end of life on Earth as we know it. Gravity pulls objects together. The greater the mass of an object, the stronger its gravitational pull. Any submarine you choose for skydiving should be designed with movement in mind. If the weather is cool on the day of skydiving, you should choose pants that cover the entire leg. We recommend wearing sweatpants or sweatpants.

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way?
27. What is the average acceleration of the Blue Flame speed car if its initial velocity is 1000 km/h and it
comes to a complete stop in a distance of 2.0 km?

Answers

Answer:

Explanation:

Given:

V₀ = 1 000 km/h = 1  000 000 m / 3 600 s ≈ 280 m/s

V = 0 m/s - the Blue Flame car stopped

D = 2.0 km = 2 000 m  - distance

________________________________

a - ?

D = (V₀² - V²) / (2·a)

Acceleration:

a = (V₀² - V²) / (2·D)

a = (280² - 0²) / (2·2000) ≈ 20 m/s²

a rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. how many seconds later does the rock hit the ground?

Answers

A rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. It will take 0.15 seconds to hit the rock ground

height = displacement = 1.20 m

initial speed = u = 7.54 m/s

final speed = v = 0

time = ?

Using kinematic equation

s = u*t + 1/2 * g * [tex]t^{2}[/tex]

1.20 = 7.54 t + 1/2 * 9.8 *  [tex]t^{2}[/tex]

= 4.9  [tex]t^{2}[/tex] + 7.54 t  - 1.20

t = 0.15 seconds

It will take 0.15 seconds to hit the rock ground

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can baseball bat kill? a baseball bat hits the ball with variable force. the ball weighs 0.145 kg and comes toward and (after hit) away from the batter both with 40 m/s, in opposite directions. find the maximum force fmax from the bat

Answers

The maximum force (Fmax) from the bat which hits the ball with a speed of 40 m/s of weight 0.145kg is 5.8 N.

What is force?

A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends. Only when there is interaction do forces actually exist.

Given,

mass of ball is 0.145 g.

speed of ball after being hit is 40 m/s.

maximum force =?

time taken to hit the ball be 1 s

By using the formula, F = ma

where,

F = force from the bat

m = mass of the ball

a = acceleration of the ball

But,

a = s/t

where,

s = speed of the ball being hit

t = time taken

F = ms/t

F = 0.145 x 40 / 1

F = 5.8

∴ force from bat is 5.8 N.

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suppose radius of earth known to 3595 miles with tolerance of - 0.1 miles what effect does this have on calculation of surface area

Answers

The effect of - 0.1 miles tolerance on a 3595 miles radius of earth's surface area calculation is 0.00556 %

SA = 4 π r²

SA = Surface area of a sphere

r = Radius

Actual surface area,

r = 3595 mi

SA = 4 * 3.14 * 3595²

SA = 162325754 mi²

Surface area with tolerance,

r = 3595 - 0.1

r = 3594.9 mi

SA = 4 * 3.14 * 3594.9²

SA = 162316723.5 mi²

% error = ( Actual value - Error value ) / Actual value

% error = ( 162325754 - 162316723.5 ) / 162325754

% error = 9030.5 / 162325754

% error = 5.56 * [tex]10^{-5}[/tex]

% error = 0.00556 %

Therefore, the effect of - 0.1 miles tolerance on a 3595 miles radius of earth's surface area calculation is 0.00556 %

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What would be the weight of an astronaut of the gravitational attraction has been reduced by 1/10 of earth's gravitational attraction?

Answers

Answer: 20

Explanation: Because if you divide the astronauts weight by 10.

a certain volume of gas was confined in a rigid container. if the pressure of the gas sample in the container was doubled, what happened to the temperature?

Answers

The pressure of the gas in the rigid container is doubled, then the temperature will also increase by two times.

According to ideal gas equation,

PV = nRT

Where, P is pressure, V is volume, n is the moles, T is temperature of the gas and R is the gas constant.

A certain volume of gas is put in the container means that the volume and the mole of the gas are constant so, we can write,

PV = Constant,

P₁/T₁ = P₂/T₂

Let us say that P₁ and V₁ are initial parameters, If the volume of the container is doubled, then, P₂ = 2P₁,

So,

P₁/T₁ = 2P₂/T₂

T₂ =  2T₁.

So, the temperature of the gas will be increase by two times,

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when the core of a star reaches a temperature of about 100 million degrees (k), something new happens in the core. what is this new event?

Answers

When  the core of a star reaches a temperature of about 100 million degrees (k), the new event named  triple-alpha process happens where the helium will begin to fuse into carbon.

What is triple alpha process?

The triple-alpha mechanism, which turns three helium nuclei into one carbon atom, will start to fuse helium into carbon when the temperature in the core reaches roughly 100 million degrees. There is a lot of heat produced by this.

The triple-alpha process is unusually sensitive to temperature; when the reaction's temperature is doubled, it proceeds nearly a trillion times faster! Therefore, while the fusing helium heats the core, which cannot expand to cool down, the increasing temperature prompts the helium fusion to abruptly proceed millions of times faster, which very quickly heats the core even more, which in turn prompts the helium to fuse way, way faster.

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derive from one of the laws of motion the relation between the momentum produced in a body and the force applied on the body​

Answers

Answer:

The fact that change in moment is equal to force times duration can be derived from Newton's Second Law of Motion (assuming that the net force on the object is constant.)

Explanation:

Let [tex]m[/tex] denote the mass of an object. Let [tex]\Delta v[/tex] denote the change in the velocity of this object. The change in momentum of this object will be [tex]\Delta p = m\, \Delta v[/tex].

Let [tex]F_{\text{net}}[/tex] denote the net force (resultant force) on the object. Let [tex]a[/tex] denote the acceleration of this object. By the law of motion, [tex]F_{\text{net}} = m\, a[/tex], or equivalently, [tex]a = (F_{\text{net}} / m)[/tex].

Assume that this net force is constant and is exerted on this object over a period of [tex]\Delta t[/tex]. With an acceleration of [tex]a = (F_{\text{net}} / m)[/tex], the velocity of this object would have changed by:

[tex]\begin{aligned}\Delta v &= a\, \Delta t \\ &= \left(\frac{F_{\text{net}}}{m}\right)\, (\Delta t) \\ &= \frac{F_{\text{net}}\, \Delta t}{m}\end{aligned}[/tex].

Multiply both sides of this equation by the mass [tex]m[/tex] of the object to obtain:

[tex]m\, \Delta v = F_{\text{net}}\, \Delta t[/tex].

Note that [tex]m\, \Delta v[/tex] is equal to the change in momentum ([tex]\Delta p = m\, \Delta v[/tex].) Therefore, if the net force [tex]F_{\text{net}}[/tex] on the object is constant, the change in the momentum [tex]\Delta p[/tex] over time period [tex]\Delta t[/tex] will be equal to [tex]F_{\text{net}}\, \Delta t[/tex] (net impulse on the object.)

A ball released from the tree top if a height of 45m. How long does it take to reach the ground?

Answers

The ball will take 45 seconds to reach the ground.

U=0(since ball is dropping)

So, we have to find t=?

Given

a=-9.8m/s

S=45m

As we know,

S=ut+1/2at^2

so,

t^2=45×90/2

hence

t=45s.

so the time taken is 45 seconds.

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9. if suddenly, the sun were to quantum tunnel to a different dimension and stop applying a force on the planets, in what kind of path would the planets move? explain.

Answers

The planets move on linear motion without acceleration. Motion in one spatial dimension is described as linear motion, often known as uniform motion or rectilinear motion.

Explain about the Linear motion?

Moving in a straight line is the motion that an object naturally exhibits. A forceless item will move in a straight line indefinitely, according to Newton's First Law of Motion.

An object is said to be moving linearly when it has a tendency to move in a straight line. Rectilinear motion is another name for linear motion. Many of the things we do every day, like walking, bowling, playing on a slide, etc., exhibit linear motion in reality.

Both the ultimate displacement and the velocity are positive, indicating that they are moving in the same direction. The link between displacement, average velocity, and time is described by the equation x = x0+(average v)t.

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a 1.5 m -long fm antenna is oriented parallel to the electric field of an em wave. part a how large must the electric field be to produce a 1.00-mv (rms) voltage between the ends of the antenna? express your answer using two significant figures.

Answers

The electric field must be this large, 67*10^-5 Volts / meter,  to produce a 1.00mV voltage between the ends of the antenna that is 1.5m long.


What is electric field?

It can be considered as an electric property assosicated with each point in the space where a charge is present in any form. Electric field is by definition the force per unit charge, so that multiplying the field times the plate separation gives the work per unit charge, which is by definition the change in voltage.

How to calculate how large must the electric field?
Electric field = Voltage / length
= 1 x 10^-3 volts / 1.5 meters

= 67 * 10^-5 Volts / meters (rounded)

The electric field should be this large 67*10^-5 Volts / meter to produce 1mV voltage between the ends of the antenna that is 1.5m long.

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How does the Schrödinger model differ from the Bohr model of an atom?
A) It shows a heavy, positively charged nucleus.
B) It shows electrons scattered throughout a positive material.
C) It shows electron orbitals as regions of space.
D) It shows negatively charged particles in the nucleus

Answers

The difference between the Bohr model and the Schrödinger model is that the model electron orbitals as regions of space. Option C.

What is the Bohr model?

In the Bohr model, we can see that the electrons were arranged in energy levels. The energy levels are such that an electron can be promoted from a lower to a higher energy level. Each of the energy levels has a given amount of energy.

However, in the case of the Schrödinger model, we do not present the electron as resident at a particular point in space but we postulate that there is a region in space where the electron could be found.

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imagine we've discovered a planet orbiting another star at an average distance of 1 au with an orbital period of 6 months. the planet has a moon that orbits the planet at the same distance as our moon, but it takes 2 months to complete an orbit. what can we infer about this planet?

Answers

This planet is less massive than the Earth, as we can deduce.

What is meant by the orbital period?

A measure of how long it takes for one complete orbit of a celestial body to complete In terms of time, "the orbit period depends on the satellite altitude." the length of time needed for one cycle of a phenomenon that repeats itself frequently.

What are rotation and revolution?

An object rotating around its axis is referred to as turning. An object's orbital movement around another thing is called a "revolution." A 24-hour day, for instance, is created when the Earth rotates on its axis. The 365-day year results from the Earth's rotation around the sun.

Therefore, it is lesser massive than Earth.

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You throw a ball straight forward with a velocity of 20
m/s, from a height of 1 meter. How far will it be when it hits the ground after 0.45 seconds?

Answers

The ball will continue to advance at a speed of 2.0 m/s once it rolls off the edge of the table until it lands on the ground after 0.45 seconds.

Why do we do it?

The ball is behaving just like it has been dropped. Nature is unconcerned by the fact that it is also advancing.

D=1/2gt2 and T=√2d/g

By entering the table's height and the gravitational acceleration, we can calculate the time in seconds:

t= √2(1.5m)/9.8m⋅s−2 = 0.553s

So, for a little bit longer than a half-second, the ball will be in the air (and thus able to move ahead). To find the distance travelled, we simply reverse the speed equation, s=dt, and insert in the speed and time:

d= 20m/s(0.553s)= 1.11m

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niobium metal becomes a superconductor when cooled below 9 k. its superconductivity is destroyed when the surface magnetic field exceeds 0.100 t. in the absence of any external magnetic field, determine the maximum current a 2.60-mm-diameter niobium wire can carry and remain superconducting

Answers

Niobium wire with a 2.60 mm diameter has a maximum current capacity of 500 A while still remaining superconducting.

Describe the present.

Current is the rate at which charge passes from one point on a circuit to another. In a circuit, a significant current flows when several coulombs or charge pass over the cross section of a wire. When the charge carriers are firmly packed inside the wire, high currents can be generated at low speeds.

What do current and electron actually mean?

Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. Regular current is received at the positive end and then flows to a negative terminal.

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What is the term of a Living to Serve project? four years one year six months one month

Answers

Answer:

six months

Explanation:

Trust me on this i just answer it yesterday

what frequency fapproach is heard by a passenger on a train moving at a speed of 18.0 m/s relative to the ground in a direction opposite to the first train and approaching it? express your answer in hertz.

Answers

A passenger on a train traveling at a ground speed of 18.0 m/s in the opposite direction of the first train can hear the frequency approach at 302.05 Hz.

Which does frequency mean?

The number of waves that pass a fixed place in a unit of time is referred to as frequency in physics. It also indicates how many vibrations or cycles a body in periodic motion makes in a given amount of time.

Speed is 18.0 m/s.

Consider a train moving through still air at a speed of 30.0 m/s. The train whistle produces a note with a 262 Hz frequency.

We must determine the periodicity.

Using the frequency formula

f' = f(v + [tex]v_{p}[/tex]/v - [tex]v_{s}[/tex])

Fill out the formula with the value,

f' = 262(3441+18/344-30)

f' = 302.05Hz

Thus, 302.05 Hz is the frequency.

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given the presence of dust throughout the disk of the milky way galaxy, what is the best technique for learning about more distant regions of our galaxy's disk?

Answers

Look for radiation at long wavelengths is the best technique for learning about more distant region of our galaxy disk.

What evidence do we have that the Milky Way is a disk galaxy?

There are few stars visible if we stare perpendicular to the disk. More stars can be seen when looking from Earth towards the galactic center. This suggests a disk shape. The dust in galaxies is made up of microscopic grains of carbon, silicon, iron, aluminum, and other heavier elements. The Milky Way contains a lot of carbonaceous dust, which is quite rare in other galaxies.

The stars on the disk all orbit the galactic center in roughly the same place and direction. Halo and bulge stars likewise orbit the center of the galaxy, but their orbits are randomly inclined to the galaxy's disk. The orbital velocity of stars allows us to calculate the distribution of mass in our galaxy.

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a basketball player achieves a hang time of 0.671 s when dunking the ball. What vertical height will he attain? The acceleration of gravity is 9.8 m/s^2. Answer in units of m.

Answers

The vertical height the basketball player will attain in the given time is 2.2 m

How to determine the vertical height

From the question given above, the following data were obtained:

Time (t) = 0.671 secondsAcceleration due to gravity (g) = 9.8 m/s²Vertical height (h) =?

The vertical height attained by the player, can be obtained as illustrated below:

h = ½gt²

h = ½ × 9.8 × 0.671²

h = ½ × 9.8 × 0.450241

h = 2.2 m

Thus, from the calculation made above, we can conclude that the vertical height of the player is 2.2 m

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If it took Beth 2 hours to drive her truck 60 miles, what was her average speed?
Explain, using words, the steps you took to calculate Beth's average speed.
What are some objects that have faster or slower average speeds than Beth's truck?

Answers

Betha average speed will be 120 divided by 60 which is 60m/a

a truck driver slams on the brakes and skids to a stop through a displacement if the truck had double the mass find the truck's skidding distance in terms of

Answers

The braking distance does not change. Because both the kinetic energy and the frictional force are doubled.

We found that the stopping distance of a car is proportional to its kinetic energy. Energy is dissipated as heat in the brakes tires and road surface. More energy required means more stopping distance. This explains why the braking distance increases in proportion to the square of the car's speed. The kinetic energy of a car is equal to the braking force multiplied by the stopping distance.

Braking distance also depends on car speed car mass brake and tire wear and road surface. A fast heavy car with worn tires and brakes will have a longer stopping distance on wet or icy roads. Friction forces act in the opposite direction of movement, making it harder to move slowing the car down the ramp and slowing it down, thus reducing the distance covered.

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a visitor to a lighthouse wishes to determine the height of the tower. the visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. the period of oscillation is 9.12 s. what is the height of the tower? the acceleration due to gravity is 9.81 m/s 2 . answer in units of m

Answers

The height of the tower is 20.68 m

What is simple harmonic motion?

Simple harmonic motion or SHM is defined as motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always in the direction of the intermediate position. The acceleration of a particle undergoing simple harmonic motion is given by α(t) = -ω² x(t). where, ω is the angular velocity of the particle.

Using,

T = 2π√(L/g)

Where, T = period of the oscillation

L = Height of the tower

g = Acceleration due to gravity

Make L the subject of the equation

L = gT²/(4π²)

Given: T = 9.12 s

g = 9.8 m/s²

π = 3.14

Substitute into equation 2

L = 9.8(9.12²)/(4×3.14²)

L =  m

Hence the height of the tower = 20.68 m

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a 5.0 kg object with a speed of 30 m/s strikes a steel plate at an angle of 40 o and rebounds at the same speed and angle. calculate the change (magnitude and direction) of the linear momentum of the object.

Answers

The changes (magnitude and direction) of the linear momentum of the object .-229.8 Kgm/s

The conservation of momentum states that, within a few problem domains, the quantity of momentum remains regular; momentum is neither created nor destroyed, but best modified through the movement of forces as described by means of Newton's laws of motion.

Calculation:-

Mass of object m₁ = 5 kg

velocity v₁ = 30 cos40° m/s

velocity =  - 30 cos40°m/s

Change in linear momentum = mass (v final - v initial)

                                                  = 5 ( - 30 cos40° -  30 cos40° )

                                                  = 5 ( - 30 × 0.766 -  30 0.766 )

                                                   = 5 ( - 30 × 0.766 -  30 0.766 )                                                      

                                                    = -229.8 Kgm/s

The regulation of conservation of momentum states that in an isolated machine the full momentum of or more bodies appearing upon each other stays regular except an outside force is applied. therefore, momentum can neither be created nor destroyed.

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if a wave train (group of swell) in the open ocean has an average wavelength (l) of approximately 140 meters and a period (t) of 10 seconds, what is the celerity of these waves?

Answers

The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.

oceanography :

The study of all aspects of the ocean is known as oceanography. Oceanography includes a wide range of topics, including marine life and ecosystems, currents and waves, sediment movement, and seafloor geology.

average wavelength of open ocean, l = 140 meters

time period, t = 10 seconds

speed of the train is calculated as :

140/10 = 14m/s

speed of train = 14m/s

The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.

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5.28 ** a massless spring is hanging vertically and unloaded, from the ceiling. a mass is attached to the bottom end and released. how close to its final resting position is the mass after 1 second, given that it finally comes to rest 0.5 meters below the point of release and that the motion is critically damped?

Answers

The motion is critically damped is 0.69 m.

What is meant by mass of object?

The mass of a body is the amount of matter it contains. It is a scalar value. Weight: A body's weight is the force with which the earth attracts it. It is the effect of gravity.

The property of matter that measures its resistance to acceleration in physics. The mass of an object is roughly equal to the number of atoms in it. The kilogram is the fundamental unit of mass measurement. Weight = mass multiplied by gravity's acceleration

critically damped: βω0.

x = [tex]$\left(C_1+c_2 t\right) e^{-\beta t}$[/tex] = 2 J t = 0

[tex]$\dot{x}=\left(c_1+c_2 t\right)\left(-\beta e^{-\beta b}\right)+c_2 e^{-\beta t}$[/tex] = 0 st = 0

[tex]$c_1=2 . \quad c_2=\beta \cdot 2$[/tex]

Now, [tex]$\omega_0=\sqrt{\frac{b}{m}}$[/tex]

Let the equation be mg = k . 2

so, √g/2 = √k/m = [tex]$\omega_0$[/tex]

[tex]$c_1[/tex] = 2, [tex]$c_2[/tex] = √(8/2) × 2 = 2√5

x = [tex]$(2+2 \sqrt{5} t) e^{-\sqrt{5} t}$[/tex] or [tex]$(2+2 \sqrt{3}) e^{-\sqrt{s}}$[/tex] = 0.69 m

Therefore the motion is critically damped is 0.69.

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