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

In summary, the conversation is discussing a self balancing skateboard with a wheel of radius 7 cm rotating at 2600 RPM and a torque of 1.76 Nm, current of 10.4 Amp, and 24v. The total load on the skateboard is 90kg, with 10kg for the skateboard and 80kg for the user. The question is asking for the speed of the skateboard in km/hr with this load. To calculate the speed, one would need to calculate the circumference of the wheel and then convert the distance moved in one minute to km/hr. This results in a very fast skateboard, but the speaker is hesitant to ride it.
  • #1
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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  • #2
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 [itex]2\pi r[/itex] 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!)
 

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

How do I determine the speed of a DC motor?

The speed of a DC motor can be calculated by using the formula: Speed = (Voltage * 60 * Load) / (2 * Pi * Torque) where voltage is the input voltage, load is the applied load, and torque is the motor's torque constant. This will give you the motor's speed in revolutions per minute (RPM).

What is the relationship between voltage and motor speed?

There is an inverse relationship between voltage and motor speed. This means that as the voltage increases, the motor speed decreases. This is because a higher voltage causes the motor to draw more current, which in turn produces more torque, slowing down the motor's speed.

How does the load affect DC motor speed?

The load applied to a DC motor directly affects its speed. As the load increases, the speed of the motor decreases. This is because a heavier load requires more torque to be produced by the motor, which in turn slows down the motor's speed.

Can I calculate DC motor speed without knowing the torque constant?

No, the torque constant is a crucial factor in calculating the speed of a DC motor. Without knowing the torque constant, it is not possible to accurately determine the motor's speed. The torque constant is typically provided by the manufacturer or can be measured through experiments.

How can I adjust the speed of a DC motor for a given load?

To adjust the speed of a DC motor for a given load, you can either change the input voltage or use a speed control device, such as a motor controller. By decreasing the voltage, you can decrease the speed of the motor, and by increasing the voltage, you can increase the speed. A motor controller allows for more precise speed control by adjusting the voltage and current going to the motor.

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