A flywheel of mass 70 kg with a radius of gyration of 0.55 m is accelerated uniformly from rest to 1700 rpm. The driving torque is a constant 180 N·m and friction can be ignored. How long t does this take?
Rigid-body rotation worksheet with answers
A flywheel of mass 210 kg has a radius of gyration of 0.45 m about its axis. It spins at 800 rpm. Find its kinetic energy Ek in kJ.
A flywheel with a moment of inertia of 13 kg·m² spins at 1100 rpm. A brake applies a constant friction torque of 175 N·m. How many revolutions N does the flywheel make before it stops?
A flywheel with a moment of inertia of 19 kg·m² spins at 3000 rpm. A brake applies a constant friction torque of 180 N·m. How long t does it take to stop?
A uniform slender rod of mass 5 kg and length 1.2 m hangs at rest from a frictionless pivot at its top end. A 30 g bullet moving horizontally at 120 m/s hits the rod 1.13 m below the pivot and stays embedded. Use g = 9.81 m/s². Find the largest angle φ from the vertical through which the rod swings.
A solid cylinder rolls without slipping down a slope inclined at 30° to the horizontal. Use g = 9.81 m/s². It starts from rest. How long t does it take to roll 6 m down the slope?
Answer key
- 1. t = 20.94 s
- 2. Ek = 149.2 kJ
- 3. N = 78.44 rev
- 4. t = 33.16 s
- 5. φ = 27.63 °
- 6. t = 1.916 s
Full step-by-step solutions: practise this topic on examproblems.com.