A merry-go-round starts from rest and rotates about a vertical axis with a constant…
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A merry-go-round starts from rest and rotates about a vertical axis with a constant angular acceleration of 0.25rad s−2.
(i) Derive a general expression for the time tn required to complete the n-th full revolution (i.e.
the interval between starting from rest and the moment the angle turned first equals 2πn).
(ii) Using your expression, calculate the time taken to complete the fifth full revolution.
(iii) Find the angular speed of the merry-go-round at the instant it finishes the fifth revolution.