Angular Acceleration of a Moving Wheel

[underoathP]

I am having a bit of trouble with the following problem. What should I do to start?

A cyclist starts from rest and pedals so that the wheels make 8.5 revolutions in the first 4.6 s. What is the angular acceleration of the wheels (assumed constant)?

 

[Hootenanny]

Welcome to the forums underoathP,

For future reference we have https://www.physicsforums.com/forumdisplay.php?f=152" in place for such questions. With respect to your question, you are required to show some effort in solving the problem yourself, before we can help you. Perhaps if you could tell me what you have attempted or any ideas about how you could solve the problem...

 

[m2003]

To start, you will need to gather all of the given information and convert it into appropriate units. In this case, you have the number of revolutions and the time, so you will need to convert revolutions to radians and time to seconds. Once you have all of the necessary information in the correct units, you can use the formula for angular acceleration, which is given by a = (ωf - ωi) / t, where ωf is the final angular velocity, ωi is the initial angular velocity, and t is the time interval. In this case, the initial angular velocity is 0 since the cyclist starts from rest, and the final angular velocity can be calculated by dividing the number of revolutions by the time in seconds. Plug in the values into the formula and you will get the angular acceleration of the moving wheels.