A flywheel of mass 110 kg with a radius of gyration of 0.45 m is accelerated uniformly from rest to 800 rpm. The driving torque is a constant 67 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 80 kg with a radius of gyration of 0.6 m is accelerated uniformly from rest to 1700 rpm. The driving torque is a constant 570 N·m and friction can be ignored. How long t does this take?
A shaft transmits 65 kW at 1300 rpm. Find the torque T in the shaft.
A flywheel with a moment of inertia of 22.5 kg·m² spins at 300 rpm. A brake applies a constant friction torque of 40 N·m. How many revolutions N does the flywheel make before it stops?
A uniform solid disc (mass 17 kg, radius 0.4 m) spins freely at 750 rpm about a vertical frictionless shaft. A thin ring of mass 9 kg and the same radius is dropped onto it from rest, centred on the shaft, and the two quickly spin together. How much kinetic energy ΔE is lost in the process?
A hollow sphere rolls without slipping down a slope inclined at 30° to the horizontal. Use g = 9.81 m/s². Find the smallest coefficient of static friction μs that prevents it from slipping.
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