Question

Which expression can be used to calculate centripetal acceleration?

Answer 1

Explanation :

We know that the centripetal force always acting towards the center of a circle. Mathematically, it is given as :

$a_c=\dfrac{v^2}{r}$.........(1)

v is the velocity of an object moving in circular motion, $v=\dfrac{2\pi r}{T}$

r is the radius of the circle

T is the time taken by an object.

Put he value of v is equation (1)

$a_c=\dfrac{1}{r}(\dfrac{2\pi r}{T})^2$

$a_c=\dfrac{4\pi^2 r}{T^2}$