A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration α. The flywheel is assumed to be at rest at time t=0.a) Find the time t₁ it takes to accelerate the flywheel to ω₁ if the angular acceleration is α.Express your answer in terms of ω₁ and α.b) Find the angle θ₁ through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocity ω₁.Express your answer in terms of some or all of the following: ω₁, α, and t₁.Find the angle θ₁ through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocity ω₁.Express your answer in terms of some or all of the following: ω₁, α, and t₁.