A disc at rest is subjected to a uniform angular acceleration about its axis. Let and ^1 be the angle made by the disc in 2^ nd and 3^ rd second of its motion. The ratio ^1 is

Step-by-step solution

Kinematic equation for rotational motion, = ₀ t+ 1 2 t^2 Disk is initially at rest, ₀=0 = 1 2 t^2...(i) Angle described in 2^ nd second is, ₁= 1 2 (2)^2=2 Angle described in first 3 seconds will be, ₂= 1 2 (3)^2=4.5 Angle described in 3^ rd second will be, ^ = ₂- ₁ aligned & =4.5 -2 =2.5 & ^ aligned = 2 2.5 = 4 5