A flywheel of mass 30 kg with a radius of gyration of 0.35 m is accelerated uniformly from 900 rpm to 1400 rpm. The driving torque is a constant 96 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 170 kg with a radius of gyration of 0.15 m is accelerated uniformly from 800 rpm to 1700 rpm. This takes 22 s. Ignoring friction, find the constant torque T needed.
A uniform slender rod of mass 3 kg and length 1.8 m is pinned at one end and released from rest in a horizontal position. Ignore friction and use g = 9.81 m/s². Find the speed v of the free end as the rod swings through the vertical position.
A motor brings a flywheel with a moment of inertia of 13 kg·m² from rest up to 1000 rpm in 11 s. Ignoring losses, find the average power Pavg it delivers, in kW.
A solid cylinder of mass 2 kg rolls without slipping at 3 m/s. Find its rotational kinetic energy Erot.
A solid sphere of mass 18.5 kg rolls without slipping at 1 m/s. Find its total kinetic energy Ek.
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