Question

If alpha is the angular acceleration, omega is he angular velocity and a is the centripetal acceleration then, which of the following is true
a. alpha = w.a/v
b. alpha= v/w.a
c. alpha= a.v/w
d. alpha= a/w.v

Answer 1

Answer:

a) alpha = w.a/v

Explanation:

we have

$\alpha = \frac{a}{r}$

$\alpha = a \times \frac{1}{r}$

$\alpha = a \times \frac{omega}{v}$

using relations

$a = \alpha r \: \: \: \: \: and \: \: \: \: v = omega \times r$