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Torque Formula:
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The torque formula T = (HP × 5252) / RPM calculates the torque output of an electric motor based on its horsepower and rotational speed. This formula is derived from the fundamental relationship between power, torque, and rotational speed.
The calculator uses the torque formula:
Where:
Explanation: The constant 5252 comes from the fact that 1 horsepower is defined as 550 foot-pounds per second, and there are 2π radians in a revolution and 60 seconds in a minute.
Details: Torque calculation is essential for motor selection, mechanical design, and ensuring proper performance in applications requiring rotational force. It helps determine if a motor can provide enough turning force for a specific application.
Tips: Enter the motor's horsepower rating and its operating RPM. Both values must be positive numbers greater than zero for accurate calculation.
Q1: Why is the constant 5252 used in the formula?
A: The constant 5252 comes from the conversion between horsepower (550 ft-lb/sec) and RPM (revolutions per minute), accounting for the relationship between rotational speed and linear force.
Q2: Can this formula be used for all types of motors?
A: This formula works for any rotating machinery where horsepower and RPM are known, including electric motors, internal combustion engines, and other power sources.
Q3: What are typical torque values for electric motors?
A: Torque values vary significantly based on motor size and design. Small motors might produce less than 1 lb-ft, while large industrial motors can produce thousands of lb-ft of torque.
Q4: How does torque relate to motor performance?
A: Torque determines a motor's ability to overcome resistance and perform work. Higher torque allows a motor to handle heavier loads or accelerate faster.
Q5: Can I calculate horsepower if I know torque and RPM?
A: Yes, the formula can be rearranged as HP = (T × RPM) / 5252 to calculate horsepower when torque and RPM are known.