Torque Formula:
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Torque from power calculation determines the rotational force (torque) produced by a system based on its power output and angular velocity. This relationship is fundamental in mechanical engineering, automotive design, and electrical motor applications.
The calculator uses the torque formula:
Where:
Explanation: The formula shows that torque is directly proportional to power and inversely proportional to angular velocity. Higher power or lower rotational speed results in greater torque output.
Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors, determining gear ratios, and ensuring system efficiency and safety in various engineering applications.
Tips: Enter power in watts and angular velocity in radians per second. Both values must be positive numbers. For RPM conversion, remember that 1 RPM = π/30 rad/s.
Q1: What is the difference between torque and power?
A: Torque is rotational force, while power is the rate at which work is done. Power = Torque × Angular Velocity.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to get rad/s. Example: 1000 RPM = 1000 × π/30 ≈ 104.72 rad/s.
Q3: Can I use horsepower instead of watts?
A: Yes, but convert horsepower to watts first (1 HP = 745.7 W) for accurate calculations.
Q4: What are typical torque values for different applications?
A: Car engines: 100-500 Nm, Electric motors: 1-100 Nm, Industrial machinery: varies widely based on application requirements.
Q5: Why is torque important in mechanical design?
A: Torque determines the twisting force available for moving loads, affects acceleration capabilities, and influences component sizing and material selection.