Question

The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r

Answer 1

For this case we have the following equation:
 a = v ^ 2 / r
 From here, we must clear the value of speed.
 We have then:
 v ^ 2 = a * r
 v = root (a * r)
 Answer:
 the formula for the velocity is:
 v = root (a * r)

Answer 2

Answer:

The required formula is $v=\sqrt{ar}$.

Step-by-step explanation:

The given formula is

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

where, v is the velocity of the object and r is the object's distance from the center of the circular path.

Multiply both sides by r, to solve the formula for the velocity.

$ar=v^2$

Taking square root both the sides.

$\sqrt{ar}=v$

Therefore the required formula is $v=\sqrt{ar}$.