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Power Formula:
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The power calculation 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 multiplies torque (rotational force) by angular velocity (rotational speed) to determine the power output of a motor or rotational system.
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 units should I use for torque and angular velocity?
A: Torque should be in newton-meters (Nm) and angular velocity in radians per second (rad/s) for the result to be in watts (W).
Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60 (approximately 0.10472) to convert to rad/s. For example, 1000 RPM = 1000 × 0.10472 ≈ 104.72 rad/s.
Q3: What is a typical power range for electric motors?
A: Electric motors range from fractional horsepower (under 1 kW) to industrial motors exceeding 1000 kW, depending on the application.
Q4: Does this formula account for efficiency losses?
A: No, this formula calculates theoretical mechanical power output. Actual electrical power input would be higher due to efficiency losses in the motor.
Q5: Can this formula be used for all types of motors?
A: Yes, the formula P = T × ω applies to all rotational systems including AC/DC motors, hydraulic motors, and internal combustion engines.