Question

if the magnitude of angular velocity is doubked during rotation then magnitude of centripetal acceleration is?
a) doubled
b) quadrupled
c) halved​

Answer 1

Answer:

quadrupled

Explanation:

We know

Centripetal Acceleration (a) = V²/R

multiplying and dividing by R we get

a = (V²/R²) × R

∵ V/R = ω

we get

a = ω²R

now initial acceleration = a

initial angular velocity = ω

Final acceleration = A

Final angular velocity = 2ω

Hence

a = ω²R

A = (2ω)²R = 4ω²R = 4a

Hence when angular velocity is doubled, centripetal acceleration is quadrupled