A flywheel of mass 70 kg with a radius of gyration of 0.3 m is accelerated uniformly from 700 rpm to 2500 rpm. The driving torque is a constant 300 N·m and friction can be ignored. How long t does this take?
Rigid-body rotation worksheet with answers
A flywheel of mass 160 kg with a radius of gyration of 0.3 m is accelerated uniformly from rest to 1300 rpm. The driving torque is a constant 390 N·m and friction can be ignored. How long t does this take?
A flywheel with a moment of inertia of 20.5 kg·m² spins at 1500 rpm. A brake applies a constant friction torque of 130 N·m. How many revolutions N does the flywheel make before it stops?
A uniform slender rod of mass 4 kg and length 0.9 m is pinned at one end and held horizontal. It is released from rest. Use g = 9.81 m/s². Find the acceleration atip of the free end just after release.
A solid cylinder of mass 2.5 kg rolls without slipping at 9 m/s. Find its rotational kinetic energy Erot.
A hollow sphere rolls without slipping down a slope inclined at 20° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 2.5 m down the slope?
Answer key
- 1. t = 3.958 s
- 2. t = 5.027 s
- 3. N = 309.6 rev
- 4. atip = 14.71 m/s²
- 5. Erot = 50.63 J
- 6. t = 1.576 s
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