b. A motor spins up the flywheel to its maximum angular velocity of 1200rpm. How

Question

b. A motor spins up the flywheel to its maximum angular velocity of

1200rpm. How much energy is stored in the flywheel?

(c) Calculate the angular momentum of the wheel at that angular speed.

Phys 8, Spring 2014 1. Flywheels are large, massive wheels used to Midterm 2 store energy. Flywheels are used in industry, in rowing machines, and stationary bicycles. In industrial applications, they can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power Tension Cable Magnet Bracket Spring An industrial flywheel is a solid disk and has a 1.5 m diameter and a mass of 250 kg. Its maximum angular velocity is 1200 rpm. a. Find the flywheel's moment of inertia

Explanation / Answer

a) moment of inertia I = 1/2mr^2

I = 1/2*250*(1.5/2)^2 = 70.31 kg m^2

b) energy stored U = 1/2Iw^2

w = 1200*2*3.14/60 = 125.6 rad/s

U = 1/2*70.31*125.6^2 = 5.546*10^5 J

c) angular momentum L = Iw = 70.31*125.6 = 8830.94 kg m^2/s

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

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