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Power to Torque Formula:
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The power to torque formula (τ = P / ω) relates mechanical power to torque and angular velocity. It's a fundamental equation in rotational mechanics that describes how power is transmitted through rotating systems.
The calculator uses the power to torque formula:
Where:
Explanation: This formula shows that for a given power output, torque is inversely proportional to angular velocity. This explains why engines produce higher torque at lower RPMs.
Details: Torque calculation is essential in mechanical engineering, automotive design, and industrial applications. It helps determine the rotational force available for tasks like accelerating vehicles, turning machinery, or overcoming resistance.
Tips: Enter power in watts and angular velocity in radians per second. Both values must be positive numbers. The calculator will compute the resulting torque in Newton-meters.
Q1: What's the difference between power and torque?
A: Power is the rate of doing work, while torque is a rotational force. Power determines how fast work can be done, while torque determines the force available for rotation.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to convert to rad/s. Formula: ω (rad/s) = RPM × (2π/60) = RPM × (π/30).
Q3: Can I use horsepower instead of watts?
A: Yes, but you'll need to convert first. 1 horsepower = 745.7 watts. Convert horsepower to watts before using this calculator.
Q4: Why is torque important in vehicles?
A: Torque determines a vehicle's acceleration and pulling power. Higher torque allows for better acceleration from standstill and better performance when climbing hills or towing.
Q5: What are typical torque values for different applications?
A: Car engines: 100-500 N·m, Electric motors: 1-100 N·m (small applications), Industrial motors: up to several thousand N·m for heavy machinery.