Question

A wheel is rotating at a rate of 2.0 rev every 3.0s. through what angle, in radian , does the wheel rotate in 1.0s?​

Answer 1

Answer:

$4 \pi$

Explanation:

First of all, let's convert 2.0 rev into radians:

$1.0 rev = 2\pi rad\\2.0 rev = 4 \pi rad$

This means that the angular speed of the wheel is

$\omega = 2.0 rev/s = 4 \pi rad/s$

The angle through which the wheel rotates in a time t is given by

$\theta=\omega t$

And substituting t=1.0 s, we find

$\theta=(4\pi rad/s)(1.0 s)=4 \pi rad$