Question

A cyclist who is riding a bike, whose wheels have a radius of r, is moving with constant speed v, along a flat straight road. The cyclist realizes that there is a single rock stuck between the threads of his tires that is causing the bike to vibrate violently. How frequently do the vibrations caused by the rock occur

Answer 1

Answer:

$f = \frac{v}{2\pi r }$

Explanation:

A cyclist riding a bike whose wheels have a radius of r, moving with constant speed v along a flat straight road.

The frequency of the vibrations is the same as the frequency of the rotation of the wheel and this can be represented as below

V = R(w )     where ; w = $2\pi f$

$f = \frac{v}{2\pi r }$