Power - Torque - Speed Converter
Convert between Power - Torque - Speed of an electric motor
(2 π) / 60
How to calculate power based on torque and speed of an electric motor
To calculate the motor power, the formula multiplies the torque by 2, π (pi), and the RPM, and then divides the result by 60 (seconds/minute): P = (t * 2 * π * RPM) / 60. Where:
- P represents the motor power in watts.
- t represents the motor torque in Newton-meters (N-m).
- RPM represents the angular speed of the motor in revolutions per minute.
| Speed (RPM) | Torque (N-m) | Power (Watts) |
|---|---|---|
| 1000 | 9.55 | 1000 |
| 2000 | 4.77 | 1000 |
| 3000 | 3.18 | 1000 |
| 4000 | 2.39 | 1000 |
| 5000 | 1.91 | 1000 |
| 6000 | 1.59 | 1000 |
| 7000 | 1.36 | 1000 |
| 8000 | 1.19 | 1000 |
| 9000 | 1.06 | 1000 |
| 10000 | 0.95 | 1000 |
Torque vs. Speed Chart Generating 1000Watts Power
Power in Motion: The Dynamics of Torque and Speed in Electric Motors
The formula P = (t * 2 * π * RPM) / 60 represents the relationship between power (P), torque (t), and rotational speed (RPM) in the context of electric motors. Let's break down the components of this formula and understand their significance:
- P: This symbolizes power, measured in watts (W). In the realm of electric motors, power denotes the rate at which energy is transferred or converted, representing the motor's capacity to perform work.
- t: Torque, measured in Newton-meters (Nm), is a crucial parameter in the formula. Torque represents the rotational force exerted by the motor's shaft. In the context of an electric motor, torque is pivotal for generating the necessary force to drive mechanical loads.
- π: Pi (π) is a mathematical constant approximately equal to 3.14159. It is used in the formula to relate the circumference of a circle to its diameter.
- RPM: Rotations Per Minute (RPM) is the unit of rotational speed, indicating how many complete revolutions a motor shaft makes in one minute.
- 2 * π / 60: This part of the formula is a conversion factor to ensure that the resulting power is in watts. It converts the rotational speed from revolutions per minute to revolutions per second.
In practical terms, this formula allows engineers to determine the power output of an electric motor given specific values for torque and rotational speed. For instance, if you know the torque and speed of an electric motor, you can use this formula to calculate the power it produces. Conversely, if you have the power requirement and one of the other two parameters, you can rearrange the formula to find the missing parameter.
For how torque, speed and power trade off against losses across the whole system, see our efficiency definitions guide. Unfamiliar with a term? Check the electric motor glossary.