A flywheel of mass 150 kg with a radius of gyration of 0.5 m is accelerated uniformly from rest to 1800 rpm. The driving torque is a constant 1800 N·m and friction can be ignored. How long t does this take?
Rigid-body rotation worksheet with answers
A flywheel of mass 150 kg with a radius of gyration of 0.5 m is accelerated uniformly from rest to 1600 rpm. The driving torque is a constant 220 N·m and friction can be ignored. How long t does this take?
A flywheel with a moment of inertia of 9 kg·m² spins at 1400 rpm. A brake applies a constant friction torque of 60 N·m. How long t does it take to stop?
A flywheel with a moment of inertia of 22.5 kg·m² spins at 300 rpm. A brake applies a constant friction torque of 90 N·m. How many revolutions N does the flywheel make before it stops?
A uniform slender rod of mass 9.5 kg and length 0.9 m hangs at rest from a frictionless pivot at its top end. A 25 g bullet moving horizontally at 540 m/s hits the rod 0.41 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 uniform slender rod of mass 9 kg and length 1.6 m hangs at rest from a frictionless pivot at its top end. A 35 g bullet moving horizontally at 100 m/s hits the rod 0.69 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
Answer key
- 1. t = 3.927 s
- 2. t = 28.56 s
- 3. t = 21.99 s
- 4. N = 19.63 rev
- 5. φ = 30.89 °
- 6. ω = 0.3138 rad/s
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