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A cyclist starts from rest and pedals such that the wheels of his bike have a...

A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration.
After 14 s, the wheels have made 76 rev.

A) What is the angular velocity of the wheels after 14 s in rad/s ?

68.2 rad/s


B) If the radius of the wheel is 36 cm, and the wheel rolls without slipping, how far has the cyclist (in m) traveled in 14 s?

______rad/s^2

C) What is the angular acceleration of the wheels in rad/s2 ?
_____m

Please help with B and C will rate

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Answer #1

angular acceleration

d = 0.5 at^2

76* 2* 3.14 = 0.5* a * 14^2

a = 4.87 rad /s^2

=======

linear displacement

L = radius * angular displacement

L = 0.36* 76* 2 *3.14

L = 171.821 m

=======

Comment before rate in case any doubt, will reply for sure.. goodluck

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