wheel with rotational inertia mounted on vertica shaft with negligible rotational inertia_ rotating with angular speed wo wheel, which is not rotating initially, having ! rotationa inertia 3lis suddenly dropped onto the same shaft as shown: The resultant combination of the two wheels and shaft will rotate at Wo/2 Wo/ 4 3W0 2Wo Wo/ 3

Answers

Answer 1

The resultant combination of the two wheels and the shaft will rotate at approximately half the initial angular speed, ω₀/2.

When the wheel with rotational inertia I₁, initially rotating with angular speed ω₀, is dropped onto the vertical shaft with negligible rotational inertia, the resulting combination of the two wheels and the shaft will rotate at a lower angular speed. The new angular speed can be calculated using the principle of conservation of angular momentum.

According to the conservation of angular momentum, the initial angular momentum of the system must be equal to the final angular momentum. The initial angular momentum is given by the product of the initial rotational inertia (I₁) and the initial angular speed (ω₀). Since the rotational inertia of the shaft is negligible, we can ignore its contribution.

When the wheel is dropped onto the shaft, the total rotational inertia of the system becomes the sum of the rotational inertia of the wheel (I₁) and the rotational inertia of the shaft (I₂), which is negligible. Therefore, the final angular momentum of the system is given by the product of the total rotational inertia and the final angular speed (ω).

Since the initial and final angular momenta must be equal, we have:

I₁ × ω₀ = (I₁ + I₂) × ω

As I₂ is negligible compared to I₁, we can approximate the equation as:

I₁ × ω₀ ≈ I₁ × ω

Simplifying the equation, we find:

ω ≈ ω₀/2

Therefore, the resultant combination of the two wheels and the shaft will rotate at approximately half the initial angular speed, ω₀/2.

Know more about angular speed here:

https://brainly.com/question/25279049

#SPJ8

Related Questions

If a nucleus had a diameter of 8.0 fm, what would be its expected mass, in atomic mass units?

Answers

The atomic mass unit is 37.04unit

The size of a nexus is generally expressed in terms of its compass, not periphery. The compass of a nexus is related to its mass number( A) by a general empirical formula known as the" nuclear compass formula"

[tex]R = R_o(A\frac{1}{3}) ,[/tex]

where R is the compass of the nexus,

R ₀ is a constant( roughly1.2 fm),

and A is the mass number.

To determine the anticipated mass of the nexus in infinitesimal mass units( u), we can use the following equation

Mass = A × mass of a single nucleon,

where the mass of a single nucleon is roughly 1 infinitesimal mass unit( 1 u).

Given that the periphery of the nexus is8.0 fm, we can calculate the compass

R = [tex]\frac{8.0fm}{4.0}[/tex]= 4.0 fm.

Now, we can use the nuclear compass formula to estimate the mass number( A)

fm = R ₀ A(1/3).

By rearranging the formula and working for A,

we have A = ((4.0 fm/ R ₀))

Substituting the value of R ₀( roughly1.2 fm) into the equation

A = ((4.0 fm/1.2 fm))

A ≈(3.33) 3

A ≈37.04.

Thus, the anticipated mass of the nexus in infinitesimal mass units would be roughly37.04u.

Learn more about atomic mass units at

brainly.in/question/6772738

Select the correct location on the image.
Which color in the visible spectrum has the highest frequency?
red
(longest
wavelength)
The Visible Light Spectrum
4
violet
(shortest
wavelength)

Answers

Violet color in the visible spectrum has the highest frequency. The violet colour has the greatest frequency of all the colours in the visible spectrum.

The range of electromagnetic waves that can be seen by the human eye is known as the visible spectrum, and it contains colours from red to violet. Based on their wavelengths, light waves that travel through a prism or diffract split into various colours.

The shortest wavelength of all the colours that may be seen, violet, correlates to a high frequency. Wavelengths and frequencies gradually change as we go from violet to red. As a result, violet has the greatest frequency of all the colours in the visible spectrum.

To know more about visible spectrum :

https://brainly.com/question/12807557

#SPJ1.

NEED HELP ON QUESTION ASAP! !

If answer is correct I'll rate you five stars a thanks and maybe even brainliest!

Please can you explain what this paragraph is trying to say. Also what does it mean in the sentence 'the difference in charge across the battery provides push for current' and what is the difference in charge.

Here's paragraph I need to have a simple definition of:

A high waterfall is also like a large voltage. It will transfer a lot of energy to the water (charge), making the river flow very fast (a large current) the difference in height makes the river flow. In a circuit , the difference in charge across battery provides push for the current.

Answers

This paragraph is drawing an analogy between a high waterfall and an electric circuit to explain the concept of voltage and current.

It is saying that a high waterfall has a lot of potential energy that can transfer to the water and cause it to flow very fast, which is similar to how a large voltage in an electric circuit can create a large current. The difference in height of the waterfall causes the water to flow, just as the difference in charge across a battery provides the push or force for the current to flow in a circuit.

In an electric circuit, voltage is the measure of the electric potential difference between two points, and it is measured in volts. Current is the flow of electric charge through the circuit, and it is measured in amperes or amps. The difference in charge across the battery refers to the potential difference or voltage between the positive and negative terminals of the battery, which creates an electric field and provides the force or push for the current to flow through the circuit.

5. Where did the blood come from BEFORE it entered the Right atrium

Answers

Answer: superior vena cava (SVC) and inferior vena cava (IVC),

Explanation:

Oxygenated blood returns from the body to the heart through the superior vena cava and the inferior vena cave

Other Questions

Protection levels and certain integrity levels are maintained by which standard listed below?Due Care Absolute price elasticities are calculated for four goods, and the values are: 0.009; 1.0; 3.5; and 4. Which indicates the most price-responsive situation?A. 2.5B. 104.0C. 14.0D. 4.0 2 positive point charges are seperated by a distance R. if the distance between the charges is reduced by R/2, what happens to the total electric potential energy of the system Which health insurance plan directly employs or contracts with selected medical care specialists to provide managed health care services in exchange for a fixed, prepaid monthly premium The poverty line is determined by ________. Group of answer choices the level of income needed to cover basic needs annual estimates based on a sampling of U.S. middle- and high-income households surveys completed on the elderly The average weekly income of teachers in one school district is normally distributed with the mean of $840 with a standard deviation of $110. Find the percentage of teachers earning more than $960 a week Variable Costs Fixed Costs Manufacturing $100,000 $50,000 Selling & Administrative 50,000 12,500 Total $150,000 $62,500 What is the markup on variable costs needed to break even? Select one: A. 41.67 percent B. 300.0 percent C. 33.3 percent D. 150.4 percent Birds immediately recognize the first moving thing during a critical period in their development and then follow this object. This is best known as: A report tells us that in 2009 there were 870 gray wolves in Idaho, but that the population declined by 19% that year: For purposes of this problem we assume that this 19% annual rate of decrease continues (a) Find an exponential model that gives the wolf population W as a function of the time t in years since 2009. 870( 19)' (b) It is expected that the wolf population cannot recover if there are fewer than 20 individuals. How long must this rate of decline continue for the wolf population to reach 20? (Round your answer to two decimal places_ 20,6 Need Help? Koadut Wnllaln Hueot Drugs on schedule _____ have clearly accepted medical usefulness and the lowest potential for abuse. If the firm depicted above is producing the profit-maximizing level of output, they will earn _____. Group of answer choices none; this firm must shut down or lose all of its fixed cost. $66. $272. $20. what approach does not rely on the scientific method, but uses induction instead? question 6 options: post processual archaeology Production facilities, office equipment, and heavy machinery are assets that are expected to last many years and are called long-term or hw7.13. rolling disk kinetics a uniform rigid disk of mass and radius starts at rest on a flat ground as shown. force acts at point on the top edge, and gravity acts vertically. the coefficient of friction between the disk and the ground is . python inputs: import numpy as np from sympy import * m A substance undergoes first order decomposition. After 42 min, 75% of the original samples remain. What is the half-life of the reaction At the beginning of 2007, the population of a certain state was 55.4% rural and 44.6% urban. Based on past trends, it is expected that 10% of the population currently residing in the rural areas will move into the urban areas, while 20% of the population currently residing in the urban areas will move into the rural areas in the next decade. What was the population distribution in that state at the beginning of 2017 When a president issues an executive order, he is exercising a(n)... Group of answer choices expressed power. formal power. implied power. delegated power. A stock' beta is calculated by dividing the: covariance of the security return with the market return by the variance of the market. covariance of the security return with the market return by the correlation of the security and market returns. correlation of the security return with the market return by the variance of the market. variance of the market return by the correlation of the security return with the market return. variance of the market by the covariance of the security return with the market return. TRUE OR FALSE to establish vehicle balance, improve visibility, and vehicle control, a driver should lean on the console and sit as low as possible in the seat. Which case would represent a violation of the American Psychological Association's code of ethics regarding the responsibility of a therapist to protect the confidentiality of a client?