Question

express the following angular speed in radians per second. 10 revolutions per second the angular speed is \\(\square\\) radians per second. (type an exact answer in terms of \\(\pi\\).)

Explanation:

Step1: Define 1 revolution in radians

1 revolution = $2\pi$ radians

Step2: Multiply by revolutions per second

$\text{Angular speed} = 10 \times 2\pi$ radians per second

Answer:

$20\pi$ radians per second