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Power Formula:
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The power formula P = T × ω calculates mechanical power from torque and angular velocity. This fundamental equation in physics and engineering describes the rate at which work is done or energy is transferred in rotational systems.
The calculator uses the power formula:
Where:
Explanation: The formula shows that power is directly proportional to both torque and angular velocity. Higher torque or faster rotation results in greater power output.
Details: Accurate power calculation is essential for motor selection, system design, energy efficiency analysis, and performance optimization in mechanical and electrical engineering applications.
Tips: Enter torque in newton-meters and angular velocity in radians per second. Both values must be positive numbers greater than zero for valid calculation.
Q1: What is the difference between torque and power?
A: Torque is a rotational force, while power is the rate at which work is done. Power combines both torque and rotational speed.
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by π/30 (approximately 0.10472) to get rad/s. Formula: ω (rad/s) = RPM × (2π/60) = RPM × (π/30).
Q3: What are typical power values for electric motors?
A: Motor power ranges from fractional horsepower (under 1 kW) for small applications to several megawatts for industrial motors, depending on the application.
Q4: Can this formula be used for all types of motors?
A: Yes, the formula P = T × ω applies to all rotational systems including electric motors, internal combustion engines, and hydraulic motors.
Q5: Why is power measured in watts?
A: Watts are the SI unit of power, representing joules per second. This standard unit allows for consistent measurement across different systems and applications.