A shaft is rotating at a speed of 1375 rpm. The effect of friction and windage (air resistance) is equivalent to a torque of magnitude 3 Nm (and can be assumed to be speed independent for simplicity). The shaft has a moment of inertia of 0.25 kg m. How long will it take the shaft to come to a standstill?
A shaft is rotating at a speed of 1375 rpm. The effect of friction and windage (air resistance) is equivalent to a torque of magnitude 3 Nm (and can be assumed to be speed independent for simplicity). The shaft has a moment of inertia of 0.25 kg m. How long will it take the shaft to come to a standstill?
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Transcribed Image Text:Example 1
A shaft is rotating at a speed of 1375 rpm. The effect of friction and windage (air
resistance) is equivalent to a torque of magnitude 3 Nm (and can be assumed to be
speed independent for simplicity). The shaft has a moment of inertia of 0.25 kg m.
How long will it take the shaft to come to a standstill?
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Example 2
A motor has a moment of inertia of 1.2 kg m?, and can provide a torque of 83 Nm,
and has a top speed of 1450 rpm. If it is fitted with a pulley that has a diameter of
600 mm and the pulley is fitted with a rope to lift a mass of 20 kg. Calculate the time
it will take for it to achieve 1450 rpm from standstill (assuming constant torque from
standstill to top speed) and what this equates to in terms of linear speed for the load.
Ignore the mass of the rope for simplicity.
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