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

The required formula is
`v=√(ar)`.

Explanation:

The given formula is

`a=(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.

`√(ar)=v`

Therefore the required formula is
`v=√(ar)`.