A flywheel of mass 70 kg with a radius of gyration of 0.4 m is accelerated uniformly from 1000 rpm to 1200 rpm. This takes 13 s. Ignoring friction, find the constant torque T needed.
Rigid-body rotation worksheet with answers
A flywheel is a uniform solid disc of mass 170 kg and radius 0.55 m. It spins at 500 rpm. Find its kinetic energy Ek in kJ.
A motor brings a flywheel with a moment of inertia of 21.5 kg·m² from rest up to 2500 rpm in 40 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A uniform slender rod of mass 7 kg and length 2.4 m is pinned at one end and released from rest in a horizontal position. A small ball of mass 2 kg is fixed to its free end. Ignore friction and use g = 9.81 m/s². Find the speed v of the free end as the rod swings through the vertical position.
A solid sphere rolls without slipping down a slope inclined at 40° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 10 m down the slope?
A hollow sphere of mass 17.5 kg rolls without slipping at 6 m/s. Find its rotational kinetic energy Erot.
Answer key
- 1. T = 18.04 N·m
- 2. Ek = 35.25 kJ
- 3. Pavg = 18.42 kW
- 4. v = 7.731 m/s
- 5. t = 2.107 s
- 6. Erot = 210 J
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