Question

express the following angular speed in radians per second. 7 revolutions per second the angular speed is radians per second. (type an exact answer in terms of π.)

Explanation:

Step1: Recall the conversion factor

One revolution is equal to \(2\pi\) radians. So, to convert revolutions per second to radians per second, we multiply the number of revolutions per second by \(2\pi\).

Step2: Apply the conversion

We have 7 revolutions per second. So, the angular speed in radians per second is \(7\times2\pi\).
Simplifying, we get \(14\pi\).

Answer:

\(14\pi\)