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)