Question

use the formula $v = romega$ to find the value of the missing variable. $r = 20$ m, $omega=\frac{3pi}{4}$ radians per sec. the missing variable is $v=square$ m per sec. (type an exact answer.)

Explanation:

Step1: Substitute values into formula

Given $r = 20$ m and $\omega=\frac{3\pi}{4}$ rad/s, substitute into $v = r\omega$. So $v=20\times\frac{3\pi}{4}$.

Step2: Simplify the expression

$v = 20\times\frac{3\pi}{4}=\frac{60\pi}{4}= 15\pi$.

Answer:

$15\pi$