# Angular Kinematics: Calculating Wheel Rotation in 5s

• jesuslovesu
The answer choices are probably incorrect.In summary, the conversation discusses the calculation of radians turned by a wheel rotating at a constant angular acceleration over a 5 second interval. The correct answer is determined to be 150 radians, although the answer choices may be incorrect.
jesuslovesu
A wheel rotates about a fixed axis. Initial angular velocity of 20 rad/s.
During a 5 s interval the ang. velocity increases to 40 rad/s. (const angular acceleration) How many radians does the wheel turn in 5 s?

Having a bit of trouble, not quite sure why...
so I start out with
w = w0 + at
40 = 20 + a*5
a = 4

w^2 = w0^2 + 2*4*theta
theta = 150 radians

I thought that was the correct answer, however, that's not one of the choices. Anyone see what I'm doing wrong?

I also have 150 radians... Are you sure you wrote the question word for word, or maybe there is an answer in degrees or something? It's also possible the book/test/homework/quiz/whatever it is, is wrong.

I second the 150 radians.

## What is angular kinematics?

Angular kinematics is the study of rotational motion and the relationships between angular velocity, acceleration, and displacement.

## How do you calculate wheel rotation in 5 seconds?

To calculate wheel rotation in 5 seconds, you need to know the initial angular velocity of the wheel and the angular acceleration. You can then use the formula θ = ω0t + ½αt2 to calculate the total angular displacement (θ) of the wheel in 5 seconds.

## What units are used to measure angular velocity?

Angular velocity is typically measured in radians per second (rad/s) or revolutions per minute (rpm).

## What is the difference between angular velocity and linear velocity?

Angular velocity is a measure of how fast an object is rotating around a fixed point, while linear velocity is a measure of how fast an object is moving in a straight line. Angular velocity is typically measured in radians per second, while linear velocity is measured in meters per second.

## How does angular acceleration affect wheel rotation?

Angular acceleration determines how quickly the angular velocity of a wheel changes. As the angular acceleration increases, the wheel will rotate faster in a given amount of time. This can be seen in the formula ω = ω0 + αt, where ω0 is the initial angular velocity, α is the angular acceleration, and t is time.

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