A flywheel of mass 150 kg with a radius of gyration of 0.6 m is accelerated uniformly from rest to 400 rpm. The driving torque is a constant 210 N·m and friction can be ignored. How long t does this take?
Rigid-body rotation worksheet with answers
A flywheel is a uniform solid disc of mass 250 kg and radius 0.5 m. It spins at 2600 rpm. Find its kinetic energy Ek in kJ.
A flywheel with a moment of inertia of 4 kg·m² spins at 1100 rpm. A brake applies a constant friction torque of 60 N·m. How long t does it take to stop?
A 12 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 19.5 kg and radius 0.4 m that turns on a frictionless horizontal axle. The block is released from rest. Use g = 9.81 m/s². Find the tension T in the cord.
A thin hoop starts from rest and rolls without slipping down a slope inclined at 25° to the horizontal. Use g = 9.81 m/s². Its radius is 0.05 m. Find its angular velocity ω after it has rolled 9 m along the slope.
A thin hoop starts from rest and rolls without slipping down a slope inclined at 10° to the horizontal. Use g = 9.81 m/s². Find its speed v after it has rolled 7 m along the slope.
Answer key
- 1. t = 10.77 s
- 2. Ek = 1158 kJ
- 3. t = 7.679 s
- 4. T = 52.77 N
- 5. ω = 122.2 rad/s
- 6. v = 3.453 m/s
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