What is the power curve of the American Bosch Motor/Generator?

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SUMMARY

The discussion focuses on the power curve of the American Bosch Motor/Generator, specifically a 1/3 HP, 24-volt DC motor with a no-load speed of 7800 RPM and full load torque of 60 oz-in. The user seeks to calculate the current generated at various RPMs using the formula P = τ * ω, where P is power in Watts, τ is torque in N-m, and ω is angular speed in rad/s. The conversation highlights the importance of torque vs. RPM graphs for understanding motor performance and calculating power output.

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  • Knowledge of angular speed conversion from RPM to rad/s.
  • Basic mechanical engineering principles related to motor design.
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Mechanical engineering students, electric motor designers, and anyone involved in the development of power-assisted bicycles or similar electric systems.

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I'm designing a power assisted bicycle for my senior project in mechanical engineering and I have a few questions about the electric side of the design. I want to attach a small motor to be driven by the rear wheel to generate electricity to recharge the battery. The specs of the motor I was looking at are as follows
American Bosch Motor/Generator
-1/3 HP
-24 volt DC
-No-load speed 7800 RPM
-No load amps 1.5
-Full load speed 5900 RPM
-Full load torque 60 oz-in
-Full load amps 15
-Motor body: 2.5" diameter x 4.5" long
-Shaft: .25” diameter x .75”
-flatted on two sides.
-Two 10-32 mounting studs on front, .7” long, on 1.94” centers.
-self-resetting bi-metal thermal protection.

Now my question is, is there a way for me to calculate what kind of current is being generated at a certain rpm? I'm hoping there is a generic formula and its not totally dependent on the motor.
 
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Manufacturers often times have a torque vs. rpm graph to describe the motor's performance. If you are looking for a power vs. rpm graph for the motor, it can be calculated using a torque vs. rpm graph.

P = \tau * \omega

P is power (Watts)
\tau is the torque (N-m)
\omega is the angular speed (rad / second)

So say a motor is developing 20 N-m of torque, and is spinning at 20 rad/s; that means it is developing 400W of power.
 

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