Question

Which expression can be used to calculate centripetal acceleration?

Answer 1

Answer:

B)$a_c = \frac{4\pi^2 R}{T^2}$

Explanation:

As we know that for uniform circular motion the speed of the object is given by

$v = \frac{distance}{time}$

here we know that

$v = \frac{2\pi R}{T}$

now we know the formula of centripetal acceleration as

$a_c = \frac{v^2}{R}$

here we know that

$a_c = \frac{(\frac{2\pi R}{T})^2}{R}$

by solving above we have

$a_c = \frac{4\pi^2 R}{T^2}$

Answer 2

The answer is B.

- Hope this helps