A flywheel of mass 180 kg with a radius of gyration of 0.25 m is accelerated uniformly from 900 rpm to 1200 rpm. The driving torque is a constant 13 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 30 kg and radius 0.25 m. It spins at 400 rpm. Find its kinetic energy Ek in kJ.
A 4 kg block hangs from a light cord wrapped around a pulley, a uniform solid disc of mass 13 kg and radius 0.15 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 uniform slender rod of mass 5.5 kg and length 1.8 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 sphere rolls without slipping down a slope inclined at 10° to the horizontal. Use g = 9.81 m/s². Find the smallest coefficient of static friction μs that prevents it from slipping.
A solid cylinder rolls without slipping down a slope inclined at 35° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of its centre.
Answer key
- 1. t = 27.19 s
- 2. Ek = 0.8225 kJ
- 3. T = 24.29 N
- 4. atip = 14.71 m/s²
- 5. μs = 0.05038
- 6. a = 3.751 m/s²
Full step-by-step solutions: practise this topic on examproblems.com.