Question

A merry go round has a radius 4m and complete a revolution in 2seconds, the centripetal acceleration is

Answer 1

∅=2π; t=2s; w→angular velocity.

w = ∅/t = 2π/2 = π

v = wr = π(4) = 4π

Centripetal acceleration = v²/r

a = 16π²/4 = 4π²

Answer 2

R = 4m
angular frequency = f = 1rev/2s = 0.5rev/s
angular velocity = ω = 2πf = 2π×0.5 = π rad/s

angular acceleration = a = ?

a = V²/R
a = rω²
a = 4(π)²
a = 4π²
a = 39.45 m/s²