Question

type the correct answer in the box. the formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the objects distance from the center of the circular path. a = \frac{v^{2}}{r} solve the formula for the velocity.

Explanation:

Step1: Isolate $v^2$

Multiply both sides by $r$: $ar = v^{2}$

Step2: Solve for $v$

Take square - root of both sides: $v=\pm\sqrt{ar}$
Since speed (magnitude of velocity) is non - negative in physical context, we consider the positive value.

Answer:

$v = \sqrt{ar}$