type the correct answer in the box.\nthe formula for centripetal acceleration, a, is given below, where v is…

type the correct answer in the box.\nthe 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.\na = \frac{v^{2}}{r}\nsolve the formula for the velocity.

type the correct answer in the box.\nthe 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.\na = \frac{v^{2}}{r}\nsolve the formula for the velocity.

Answer

Explanation:

Step1: Multiply both sides by r

$a\times r=\frac{v^{2}}{r}\times r$ $ar = v^{2}$

Step2: Take square - root of both sides

$v=\pm\sqrt{ar}$ Since velocity magnitude is non - negative in this context (assuming we are dealing with the speed), we consider the positive value. $v=\sqrt{ar}$

Answer:

$\sqrt{ar}$