A flywheel of mass 100 kg with a radius of gyration of 0.15 m is accelerated uniformly from rest to 1800 rpm. The driving torque is a constant 53 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 90 kg with a radius of gyration of 0.15 m is accelerated uniformly from rest to 1700 rpm. The driving torque is a constant 12 N·m and friction can be ignored. How long t does this take?
A flywheel with a moment of inertia of 18 kg·m² spins at 2500 rpm. A brake applies a constant friction torque of 45 N·m. How long t does it take to stop?
A flywheel with a moment of inertia of 10 kg·m² spins at 600 rpm. A brake applies a constant friction torque of 130 N·m. How many revolutions N does the flywheel make before it stops?
A thin hoop of mass 18 kg rolls without slipping at 8 m/s. Find its total kinetic energy Ek.
A uniform slender rod of mass 5.5 kg and length 1 m hangs at rest from a frictionless pivot at its top end. A 30 g bullet moving horizontally at 240 m/s hits the rod 0.6 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.
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