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Torque Formula For Motor

Torque Formula:

\[ T = \frac{P}{\omega} \]

W
rad/s

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1. What Is Torque Formula For Motor?

The torque formula for motor calculates the rotational force produced by a motor based on its power output and angular speed. This fundamental relationship helps engineers and technicians understand motor performance characteristics and select appropriate motors for specific applications.

2. How Does The Calculator Work?

The calculator uses the torque formula:

\[ T = \frac{P}{\omega} \]

Where:

Explanation: This formula demonstrates the inverse relationship between torque and angular speed for a given power output. As angular speed increases, torque decreases proportionally, and vice versa.

3. Importance Of Torque Calculation

Details: Accurate torque calculation is essential for motor selection, mechanical design, and system optimization. It helps determine if a motor can provide sufficient rotational force for specific loads and applications.

4. Using The Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and power?
A: Power is the rate of doing work, while torque is the rotational force. Power = Torque × Angular Speed.

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60. For example, 1000 RPM = 1000 × (2 × 3.1416) / 60 ≈ 104.72 rad/s.

Q3: What are typical torque values for different motor types?
A: Small DC motors: 0.01-1 Nm, Industrial motors: 10-1000 Nm, Large industrial motors: up to 10,000+ Nm.

Q4: Why does torque decrease as speed increases?
A: For constant power output, torque must decrease as speed increases to maintain the power relationship P = T × ω.

Q5: Can this formula be used for all types of motors?
A: Yes, this fundamental relationship applies to AC motors, DC motors, stepper motors, and servo motors, though efficiency factors may vary.

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