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Brushed Motor Speed Calculator

Brushed Motor Speed Equation:

\[ N = \frac{V}{K \times \Phi} \]

volts
V/RPM/Wb
Wb

1. What is the Brushed Motor Speed Equation?

The brushed motor speed equation calculates the rotational speed of a brushed DC motor based on the applied voltage, motor constant, and magnetic flux. This fundamental equation helps in understanding and predicting motor performance.

2. How Does the Calculator Work?

The calculator uses the brushed motor speed equation:

\[ N = \frac{V}{K \times \Phi} \]

Where:

  • \( N \) — Motor speed in RPM (revolutions per minute)
  • \( V \) — Applied voltage in volts
  • \( K \) — Motor constant in V/RPM/Wb
  • \( \Phi \) — Magnetic flux in Weber (Wb)

Explanation: The equation shows that motor speed is directly proportional to the applied voltage and inversely proportional to both the motor constant and magnetic flux.

3. Importance of Motor Speed Calculation

Details: Accurate speed calculation is crucial for motor selection, performance prediction, and system design in applications ranging from industrial machinery to robotics and electric vehicles.

4. Using the Calculator

Tips: Enter voltage in volts, motor constant in V/RPM/Wb, and magnetic flux in Wb. All values must be positive numbers. The motor constant is typically provided in the motor's datasheet.

5. Frequently Asked Questions (FAQ)

Q1: What affects the motor constant (K)?
A: The motor constant depends on the motor's design including its winding configuration, number of poles, and magnetic circuit characteristics.

Q2: How does load affect motor speed?
A: This equation calculates no-load speed. Under load, speed will decrease due to current draw and voltage drop across the armature resistance.

Q3: What's a typical motor constant value?
A: Values vary widely but typically range from 0.001 to 0.1 V/RPM/Wb for small to medium brushed DC motors.

Q4: How to measure magnetic flux?
A: Flux is usually determined from motor specifications or measured with specialized equipment like a gaussmeter or fluxmeter.

Q5: Does temperature affect the calculation?
A: Yes, temperature affects both the motor constant (via resistance changes) and magnetic flux (especially in permanent magnet motors).

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