A wheel rotates with angular acceleration given by α = 4at^3 – 3bt^2 , where t is the time and a and b are positive constants. If the initial angular speed of the wheel is ω0, then

Q: A wheel rotates with angular acceleration given by α = 4at3 – 3bt2 , where t is the time and a and b are positive constants. If the initial angular speed of the wheel is ω0 , then

(a) the equation for angular speed is ω = ω0 + at3 – bt3

(b) the equation for angular for angular speed is ω = ω0 + at4 – bt3

(c) the equation for angular displacement is θ = ω0 t + (1/4)at5 – bt4

(d) the equation for angular displacement is θ = ω0 t + (1/5) at5 – (1/4) bt4

Ans: (b) , (d)