(The number of times a bicycle tire rotates in a given time period is directly related to the distance traveled in that time period. Consider the following scenarios.)

Question

1. Calculate the angular speed of a bike with 26-inch tires rotating at 200 revolutions per minute. Express your answer in radians per minute. Use π = 3.14.

Here's what I got:
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?? Thank you and Happy New Year!

Answer 1

the wheel rotates 200 time per minute
1 rotation is 2π radians , so

= 200(2π) radians/min
= 400π radians/min = appr 1256.6 radians/min

you are correct
notice that the length of the radius has nothing to do with the angular velocity.

Answer 2

Thanks!