A body rotating with uniform acceleration about its geometrical axis makes 8 rotations in the first 2 seconds. The number of rotations the body makes in the next 3 seconds is (Initially the body is at rest)

Step-by-step solution

By equation of motion = ₀ t+ 1 2 t^2 Here, angular velocity, ₀=0 aligned & = 1 2 t^2 & 8= 1 2 (2)^2 ...(i) & = 1 2 5^2... (ii) aligned Divide equation (2) by (1) 8 = 1 2 5^2 1 2 2^2 = 25 8 4 =50 rotations