A flywheel of mass 80 kg with a radius of gyration of 0.45 m is accelerated uniformly from 400 rpm to 2400 rpm. This takes 29 s. Ignoring friction, find the constant torque T needed.
A flywheel of mass 120 kg with a radius of gyration of 0.1 m is accelerated uniformly from 600 rpm to 900 rpm. The driving torque is a constant 1.3 N·m and friction can be ignored. How long t does this take?
A motor brings a flywheel with a moment of inertia of 16.5 kg·m² from rest up to 1600 rpm in 3 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A flywheel with a moment of inertia of 28 kg·m² spins at 600 rpm. A brake applies a constant friction torque of 115 N·m. How many revolutions N does the flywheel make before it stops?
A person stands on a frictionless turntable and holds a 3 kg dumbbell in each hand, 0.75 m from the axis. The person and turntable alone have a moment of inertia of 5 kg·m² about the axis. They turn at 50 rpm, then pull the dumbbells in to 0.15 m from the axis. Treat the dumbbells as point masses. Find the new speed n2 in rpm.
A uniform slender rod of mass 1.5 kg and length 0.6 m hangs at rest from a frictionless pivot at its top end. A 50 g bullet moving horizontally at 180 m/s hits the rod 0.24 m below the pivot and stays embedded. Find the angular velocity ω of the rod just after the impact.
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