A heavy flywheel is accelerated (rotationally) by a motor that provides constant

Question

A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration (a). The flywheel is assumed to be at rest at time=0 in Parts A and B of this problem. Find the time it takes to accelerate the flywheel to if the angular acceleration is . Find the angle through which the flywheel will have turned during the time it takes for it to accelerate from rest up to angular velocity Assume that the motor has accelerated the wheel up to an angular velocity with angular acceleration in time . At this point, the motor is turned off and a brake is applied that decelerates the wheel with a constant angular acceleration of . Find , the time it will take the wheel to stop after the brake is applied (that is, the time for the wheel to reach zero angular velocity).

Explanation / Answer

w = omega, a = alpha t = time Part A. Use the equation w_1 = w_0 + a(t_1-t_0) where w_0= 0 and t_0= 0 so w_1 = at_1 and solve for t_1 Part B Use the equation w_1^2 = w_0^2 + 2a(theta_1 - theta_0) where w_0 = 0 and theta_0 = 0 so it should come to w_1^2 = 2a(theta_1) and solve for theta_1 Part B w_0 = w_1 - 5at where w_0 = 0 so -w_1= -5at

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.