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An electric motor's torque is a function of the speed at which it rotates. Many brushed AC motors have a linear toque curve as shown below. If the power output of the motor is equal to the torque (T) multiplied by the rotational speed in rad/s (w), what is the maximum power you can get out of the motor if the stall torque (Tstall) is 0.001 Nm and the no load speed (wno load) of 14,332 RPM? Give your answer in Watts. There are two ways to solve this: Use a stall torque and no load speed and plot the torque profile below and then plot the power versus rotational speed to find the maximum. The second method is to determine the mathematical relationship for power given the information at the start of the question and set the differential of power with respect to RPM equal to zero, and solve for the RPM to get the maximum. T stall Wno load W

An electric motor's torque is a function of the speed at which it rotates. Many brushed AC motors have a linear toque curve as shown below. If the power output of the motor is equal to the torque (T) multiplied by the rotational speed in rad/s (w), what is the maximum power you can get out of the motor if the stall torque (Tstall) is 0.001 Nm and the no load speed (wno load) of 14,332 RPM? Give your answer in Watts. There are two ways to solve this: Use a stall torque and no load speed and plot the torque profile below and then plot the power versus rotational speed to find the maximum. The second method is to determine the mathematical relationship for power given the information at the start of the question and set the differential of power with respect to RPM equal to zero, and solve for the RPM to get the maximum. T stall Wno load W

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An electric motor's torque is a function of the speed at which it rotates. Many brushed AC motors have a linear toque curve as shown below. If the power output of the motor is equal to the torque (T) multiplied by the rotational speed in rad/s (w), what is the maximum power you can get out of the motor if the stall torque (Tstall) is 0.001 Nm and the no load speed (wno load) of 14,332 RPM? Give your answer in Watts. There are two ways to solve this: Use a stall torque and no load speed and plot the torque profile below and then plot the power versus rotational speed to find the maximum. The second method is to determine the mathematical relationship for power given the information at the start of the question and set the differential of power with respect to RPM equal to zero, and solve for the RPM to get the maximum. Tstall Wno load W
Transcribed Image Text:An electric motor's torque is a function of the speed at which it rotates. Many brushed AC motors have a linear toque curve as shown below. If the power output of the motor is equal to the torque (T) multiplied by the rotational speed in rad/s (w), what is the maximum power you can get out of the motor if the stall torque (Tstall) is 0.001 Nm and the no load speed (wno load) of 14,332 RPM? Give your answer in Watts. There are two ways to solve this: Use a stall torque and no load speed and plot the torque profile below and then plot the power versus rotational speed to find the maximum. The second method is to determine the mathematical relationship for power given the information at the start of the question and set the differential of power with respect to RPM equal to zero, and solve for the RPM to get the maximum. Tstall Wno load W
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