Question

2. Calculate the angular speed of the 26-inch bicycle rotating at 200 revolutions per minute. Express your answer in radians per minute. Use π = 3.14.

My answer:
Angular speed= (200 revs•2π/60 radians per second) =20.94 radians per second
(20.94 radians/second)•(60 sec/1 min)= 1256.4 radians per minute

Is this correct?

Answer 1

The angular velocity for this problem is given by:
Angular speed = 200 rev / min
The first thing you should keep in mind is the following conversion:
1 rev = 2π radians
Applying the conversion we have:
Angular speed = 200 * (2π)
Rewriting:
Angular speed = 200 * (2 * 3.14)
Angular speed = 1256 radians / minutes
Answer:
the angular speed is:
Angular speed = 1256 radians / minutes