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Torque question?? 10 pts!!?
Suppose an electric motor exerts a constant torque of 15 N.m on a grindstone (solid disc) mounted on its shaft
Mass of grindstone = 64 kg
Radius of grindstone = 0.25 m
System starts from rest.
Find
a) work done by motor in 8 seconds
b) the average power of the motor
Thanks!!!
Well this is a previous exam question.... its not impossible to do given the information..
2 Answers
- EckoLv 78 years agoFavorite Answer
Work out the moment of inertia from the shape and mass and radius.
I = (m x r^2) / 2
Calculate the speed and so power
omega = angular velocity_radians = (2 x pi x RPM) / 60
delta_t = Moment_of_Inertia x delta_omega / Torque
(This would be 4 seconds for the average power)
Power_W = torque_N.m x omega
Calculate the work as change in energy_joules = average_power * total_time
This is really an integral but just use the average power at 4 seconds as this is all linear..
- kasabLv 78 years ago
The speed of the motor is missing. More torque has to be exerted at the start condition for the angular acceleration.