Question

The formula for centripetal acceleration,a, is given by this formula, 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 r.

Answer 1

Answer:

Th radius of the center of the circular path is $r=\dfrac{v^2}{a}$

Step-by-step explanation:

The formula for the centripetal acceleration is given by :

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

Where,

v is the velocity of the object

r is the distance from the center of the circular path

We need to find the velocity of the object.

Cross multiplying both sides in equation (1)

$ar=v^2$ ...(1)

Dividing both sides of the equation (1) by a. So,

$\dfrac{ar}{a}=\dfrac{v^2}{a}\\\\r=\dfrac{v^2}{a}$

Hence, this is the required solution.