Question

A child pushes, with a constant force, a merry-go-round with a radius of 2.5 m, from rest to an angular velocity o
f 3.0 rad/s in 8.0 s. What is the merry-go-round's tangential acceleration? What is the merry-go-rounds
centripetal acceleration? What is the merry-go-rounds angular acceleration?

Answer 1

The centripetal acceleration of the merry-go-round is 0.938 m/s² and the angular acceleration of the merry-go-round is 0.375 rad/s².

Angular velocity of the merry-go-round

The angular acceleration of the merry-go-round is calculated as follows;

α = ω/t

α = 3/8

α = 0.375 rad/s²

Centripetal acceleration of the merry-go-round

The centripetal acceleration of the merry-go-round is calculated as follows;

a = αR

a = 0.375 x 2.5

a = 0.938 m/s²

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