1. What is the Torque Equation?

The torque equation calculates the rotational force produced by a DC motor based on its electrical power input and angular velocity. It's essential for motor selection and performance analysis in mechanical and electrical systems.

2. How Does the Calculator Work?

The calculator uses the torque equation:

Where:

• \( Power\ Supply\ Voltage \) — Voltage supplied to the motor (volts)
• \( Current \) — Current drawn by the motor (amps)
• \( Efficiency \) — Motor efficiency (decimal between 0 and 1)
• \( Angular\ Velocity \) — Rotational speed (radians per second)

Explanation: The equation converts electrical power (adjusted for efficiency) into mechanical torque at a given rotational speed.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for motor selection, mechanical system design, and performance analysis. It helps ensure the motor can handle the required load without stalling or overheating.

4. Using the Calculator

Tips: Enter power supply voltage in volts, current in amps, efficiency as a decimal (e.g., 0.85 for 85%), and angular velocity in radians per second. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between torque and power?
A: Power is the product of torque and angular velocity. This calculator essentially works backwards from power to find torque.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (approximately 0.10472) to convert to radians per second.

Q3: What's a typical efficiency value for DC motors?
A: Small DC motors typically have 60-75% efficiency, while larger industrial motors can reach 85-95%.

Q4: Does this equation work for AC motors?
A: This simplified equation is primarily for DC motors. AC motor torque calculations require additional factors like power factor.

Q5: What if my motor is at stall condition?
A: At stall (0 rad/s), this equation would divide by zero. Stall torque must be measured or obtained from motor specifications.