How do I calculate DC motor speed for a given load?

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SUMMARY

The discussion focuses on calculating the speed of a self-balancing skateboard with a wheel radius of 7 cm, rotating at 2600 RPM under a load of 90 kg. To determine the speed in km/hr, the circumference of the wheel is calculated using the formula 2πr, and then this value is multiplied by the RPM to find the distance traveled in cm/min. This distance is subsequently converted to km/hr, providing a clear method for speed calculation under specified conditions.

PREREQUISITES
  • Understanding of basic physics concepts such as torque and RPM.
  • Familiarity with the formula for circumference (2πr).
  • Knowledge of unit conversion from cm/min to km/hr.
  • Basic electrical concepts related to DC motors (voltage, current).
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  • Learn about calculating torque and its impact on motor performance.
  • Research the principles of rotational motion and its applications in robotics.
  • Explore advanced DC motor control techniques for balancing systems.
  • Study the effects of load on motor speed and efficiency in electric vehicles.
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Engineers, robotics enthusiasts, and hobbyists involved in electric vehicle design, particularly those interested in motor performance and speed calculations for self-balancing systems.

dzlan
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A Wheel of a self balancing skateboard of radius 7 cm is rotating at 2600RPM with torque for motor is 1.76Nm,current is 10.4Amp and 24v and total load is 90kg (10kg for skateboard and 80kg for user). What is the speed of self balancing skateboard the in km/hr with load?
 
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I'm not sure I understand this question. It appears to say that the "wheel" of the skate board has radius 7 cm and is rotating at 25600 RPM with that load. If it is the speed that is asked, most of what is given is irrelevant. Calculate the circumference of the wheel from 2\pi r and then multiply that by 25600 RPM to determine the distance moved (assuming no slipping) in one minute to get units of "cm/min". Then convert that to "km/hr".

(That's one heck of a fast skate board. You are not getting me on it!)
 

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