A flywheel of mass 60 kg with a radius of gyration of 0.15 m is accelerated uniformly from rest to 1300 rpm. The driving torque is a constant 17 N·m and friction can be ignored. How long t does this take?
Rigid-body rotation worksheet with answers
A flywheel of mass 30 kg has a radius of gyration of 0.25 m about its axis. It spins at 2200 rpm. Find its kinetic energy Ek in kJ.
A 7.5 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 4.5 kg and radius 0.35 m that turns on a frictionless horizontal axle. The block is released from rest. Use g = 9.81 m/s². Find the acceleration a of the block.
A motor delivers a torque of 510 N·m at 400 rpm. Find its power output P in kW.
A uniform solid disc (mass 27 kg, radius 0.35 m) spins freely at 650 rpm about a vertical frictionless shaft. A thin ring of mass 5 kg and the same radius is dropped onto it from rest, centred on the shaft, and the two quickly spin together. How much kinetic energy ΔE is lost in the process?
A hollow sphere of mass 15.5 kg rolls without slipping at 9.5 m/s. Find its rotational kinetic energy Erot.
Answer key
- 1. t = 10.81 s
- 2. Ek = 49.76 kJ
- 3. a = 7.546 m/s²
- 4. P = 21.36 kW
- 5. ΔE = 1035 J
- 6. Erot = 466.3 J
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