Calculate power, torque, or rotational speed from any two values in watts, kW, HP, RPM, rad/s, Nm, or lb-ft, and find the missing one.
- All Unit Converters
- Watts To Time Calculator
- Watts To Horsepower Calculator
- Watts To Seconds Calculator
- Watts to Volts
Watts To Torque Formula
The following formula is used to calculate torque from power (watts).
T = P / ω
Variables:
- T is the torque (Nm)
- P is the power (Watts)
- ω is the rotational speed (rad/s)
To calculate the torque, divide the power by the rotational speed. This will give the torque in Newton meters (Nm). It’s important to note that the rotational speed must be in radians per second for this formula to work correctly.
| Power (W) | Torque (Nm) | Torque (lb-ft) |
|---|---|---|
| 50 | 0.477 | 0.352 |
| 100 | 0.955 | 0.704 |
| 150 | 1.432 | 1.056 |
| 200 | 1.910 | 1.409 |
| 250 | 2.387 | 1.761 |
| 300 | 2.865 | 2.113 |
| 500 | 4.775 | 3.522 |
| 750 | 7.162 | 5.282 |
| 1000 | 9.549 | 7.043 |
| 1500 | 14.324 | 10.565 |
| 2000 | 19.099 | 14.086 |
| 2500 | 23.873 | 17.608 |
| 3000 | 28.648 | 21.130 |
| 4000 | 38.197 | 28.173 |
| 5000 | 47.746 | 35.216 |
| 7500 | 71.620 | 52.824 |
| 10000 | 95.493 | 70.432 |
| 15000 | 143.239 | 105.648 |
| 20000 | 190.986 | 140.864 |
| 25000 | 238.732 | 176.080 |
| * Rounded to 3 decimals. Assumes constant speed of 1000 RPM (ω = 2π·RPM/60 ≈ 104.72 rad/s). Formula: T = P / ω. 1 Nm ≈ 0.737562 lb-ft (1 lb-ft ≈ 1.35582 Nm). | ||
What is Watts To Torque?
Watts to Torque refers to the conversion of power (measured in watts) to torque (a measure of rotational or twisting force). This conversion is important in various fields such as engineering and physics, as it helps to understand and quantify the amount of work or energy required to produce a certain level of torque. The relationship between power, torque, and rotational speed is defined by the formula: Power = Torque x Rotational Speed. Therefore, to convert watts to torque, the rotational speed must be known or estimated.
How to Calculate Watts To Torque?
The following steps outline how to calculate the Watts To Torque using the formula T = P / ω.
- First, determine the power (P) in Watts.
- Next, determine the rotational speed (ω) in rad/s.
- Next, gather the formula from above = T = P / ω.
- Finally, calculate the torque (T) in Nm.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
power (P) in Watts = 500
rotational speed (ω) in rad/s = 100
