1. What is Shaft Power?

Shaft power (P_shaft) is the mechanical power delivered by an electric motor through its rotating shaft. It represents the actual usable power available to drive mechanical equipment.

2. How Does the Calculator Work?

The calculator uses the shaft power equation:

Where:

• \( P_{shaft} \) — Shaft power in watts (W)
• \( T \) — Torque in newton-meters (Nm)
• \( \omega \) — Angular speed in radians per second (rad/s)

Explanation: The equation shows that power is the product of torque and angular velocity. Higher torque or faster rotation results in greater power output.

3. Importance of Shaft Power Calculation

Details: Calculating shaft power is essential for motor selection, system design, and efficiency analysis in mechanical and electrical engineering applications.

4. Using the Calculator

Tips: Enter torque in Nm and angular speed in rad/s. Both values must be positive numbers. For RPM conversion, remember 1 RPM = π/30 rad/s.

5. Frequently Asked Questions (FAQ)

Q1: How is shaft power different from electrical input power?
A: Shaft power is the mechanical output, while electrical input power is what the motor draws from the supply. The difference represents losses (efficiency = P_shaft/P_electrical).

Q2: What are typical torque values for electric motors?
A: Torque varies greatly by motor size and type. Small motors might produce 0.1-1 Nm, while industrial motors can produce hundreds of Nm.

Q3: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472). Example: 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.

Q4: What affects shaft power in real applications?
A: Factors include motor efficiency, load characteristics, operating temperature, and power supply quality.

Q5: Can this formula be used for generators?
A: Yes, the same formula applies to generators, where mechanical power input is converted to electrical power output.