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DC Motor Output Power Calculator

DC Motor Output Power Formula:

\[ P = \tau \times \omega \]

Nm
rad/s

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1. What is DC Motor Output Power?

DC Motor Output Power represents the mechanical power delivered by the motor shaft. It is calculated as the product of torque and angular speed, providing a measure of the motor's actual work capacity.

2. How Does the Calculator Work?

The calculator uses the fundamental power equation:

\[ P = \tau \times \omega \]

Where:

Explanation: This formula represents the mechanical power output from a rotating system, where torque is the rotational force and angular speed is the rotational velocity.

3. Importance of Output Power Calculation

Details: Calculating output power is essential for motor selection, system design, efficiency analysis, and ensuring the motor can handle the required mechanical load without overheating or stalling.

4. Using the Calculator

Tips: Enter torque in Newton-meters and angular speed in radians per second. Both values must be positive numbers. The calculator will compute the mechanical output power in watts.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between input and output power?
A: Input power is electrical power consumed, while output power is mechanical power delivered. The ratio is motor efficiency.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by \( \frac{2\pi}{60} \) to get rad/s. For example, 1000 RPM = 1000 × 0.10472 = 104.72 rad/s.

Q3: What are typical torque values for DC motors?
A: Torque varies widely by motor size - from 0.01 Nm for small hobby motors to 100+ Nm for industrial motors.

Q4: Why is output power important for motor selection?
A: It ensures the motor can provide sufficient mechanical power for the application without overloading or overheating.

Q5: How does voltage affect output power?
A: Higher voltage typically allows higher speed and power output, but must stay within motor specifications to prevent damage.

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