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Motor Mechanical Power Calculator

Mechanical Power Formula:

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

N·m
rad/s

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1. What is Mechanical Power?

Mechanical power is the rate at which work is done or energy is transferred in mechanical systems. In rotational systems, it represents the power output of motors, engines, and other rotating machinery.

2. How Does the Calculator Work?

The calculator uses the mechanical power formula:

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

Where:

Explanation: This formula calculates the instantaneous mechanical power output by multiplying the torque applied to a rotating system by its angular velocity.

3. Importance of Mechanical Power Calculation

Details: Calculating mechanical power is essential for motor selection, system design, efficiency analysis, and determining the power requirements for various mechanical applications.

4. Using the Calculator

Tips: Enter torque in newton-meters and angular velocity in radians per second. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between mechanical power and electrical power?
A: Mechanical power refers to power in mechanical form (rotation, linear motion), while electrical power refers to power in electrical form. They can be converted between each other with efficiency losses.

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

Q3: What are typical torque values for different motors?
A: Small DC motors: 0.01-1 N·m, Industrial motors: 10-1000 N·m, Large industrial motors: up to 10,000+ N·m depending on application.

Q4: Why is mechanical power important in motor selection?
A: It helps determine if a motor can provide sufficient power for the required torque and speed in a specific application, ensuring proper performance and avoiding overload.

Q5: Can this formula be used for linear motion systems?
A: For linear motion, use P = F × v, where F is force (newtons) and v is linear velocity (meters per second).

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