Power – Speed – Torque Calculator
About Power, Speed and Torque
The Power–Speed–Torque relationship is one of the most important concepts in mechanical engineering, especially in the study of engines, motors, rotating machinery, and power transmission systems. These three quantities are directly connected, and knowing any two allows you to calculate the third accurately.
Power represents the rate at which work is done or energy is transferred. In rotating systems, power depends on how fast the shaft rotates and how much twisting force is applied. Torque is the rotational force that causes an object to rotate, measured as force multiplied by distance from the axis of rotation. Speed is the rotational velocity, usually expressed in revolutions per minute (RPM).
The mathematical relationship between these quantities is given by the formula: Power = (2 × π × Speed × Torque) ÷ 60 where power is in watts, speed is in RPM, and torque is in newton-meters. This formula is widely used in engine testing, motor selection, gearbox design, and efficiency calculations.
For example, consider an electric motor running at 1500 RPM and producing a torque of 10 N·m. Using the formula, the power output can be calculated as approximately 1570 watts. Similarly, if the power and speed are known, the torque required can be determined, which is useful when selecting shafts or couplings.
This calculator simplifies the entire process. You can enter any two values among power, speed, and torque, choose the appropriate units, and instantly compute the third value. It supports common engineering units such as watts, kilowatts, horsepower, newton-meters, kilogram-meters, and pound-feet, making it suitable for students, professionals, and technicians.
The Power–Speed–Torque Calculator is especially useful in mechanical engineering, electrical engineering, automotive design, industrial machinery analysis, and academic problem solving. It saves time, reduces calculation errors, and helps users clearly understand the interdependence of power, speed, and torque in real-world systems.
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