Question

A body rotates about a fixed axis with an angular acceleration of one radian/second/second. Through what angle does it rotate during the time in which its angular velocity increases from 5 rad/s to 15 rad/s.

Answer 1

α= 1 rad/s², ω₀ = 5 rad/s; ω = 15 rad/s
w = w₀ + αt
 t = (ω – ω₀)/α = (15 – 5)/1 = 10 sec
Also, θ = ω₀t + 1/2 αt²
= 5 ×10 + 1/2 × 1 × 100 = 100 rad.