Torque Calculator
How to Calculate a Torque
Torque is the measure of rotational force applied to an object. It plays a crucial role in engineering, physics, and mechanics. If you want to calculate torque efficiently, this Torque Calculator helps you determine the torque by entering the values of distance, force, and angle.
Torque Equation
The standard torque equation is: τ=r×F×sin(θ)\tau = r \times F \times \sin(\theta)τ=r×F×sin(θ)
Where:
- τ\tauτ (Torque) is measured in Newton-meters (Nm).
- rrr (Distance) is the length between the force application point and the axis of rotation.
- FFF (Force) is the amount of force applied.
- θ\thetaθ (Angle) is the angle between the force and the lever arm.
How to Calculate Torque
To calculate torque using this formula, follow these steps:
- Enter the distance (r) – Choose the unit (mm, cm, m, km, etc.).
- Enter the force (F) – Select the appropriate force unit (mN, N, kN, etc.).
- Enter the angle (θ) – Choose the angle unit (degrees, radians, or gradians).
- Click “Calculate Torque” – The calculator will compute the torque in Newton-meters (Nm).
Metric Units of Force
In this calculator, force can be entered in various units, including:
- mN (Millinewton) – 1/1000 of a Newton
- N (Newton) – Base unit of force
- kN (Kilonewton) – 1000 Newtons
- lbf (Pound-force) – Common in imperial measurements
- ozf (Ounce-force) – Used in smaller force measurements
Angle Units
The angle θ\thetaθ can be measured in different units:
- Degrees (°) – Most commonly used angle unit
- Radians (rad) – The mathematical standard for angle measurement
- Gradians (gon) – Used in surveying and mapping
Distance Units
The distance rrr can be entered in:
- Millimeters (mm)
- Centimeters (cm)
- Meters (m)
- Kilometers (km)
- Inches (in)
- Feet (ft)
- Yards (yd)
- Miles (mi)
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FAQs
1. What is Torque?
Torque is the measure of force that causes an object to rotate around an axis. It is expressed in Newton-meters (Nm).
2. How is Torque Different from Force?
Force is a linear push or pull, while torque is a rotational effect of that force applied at a distance from a pivot point.
3. What Happens if the Angle is 90°?
If θ=90°\theta = 90°θ=90°, then sin(90°)=1\sin(90°) = 1sin(90°)=1, and the torque is simply τ=r×F\tau = r \times Fτ=r×F.
4. Can Torque Be Negative?
Yes, torque can be negative if the force is applied in the opposite rotational direction.
5. Why is Torque Important?
Torque is crucial in designing machinery, vehicles, and tools. It helps determine the power needed to rotate objects efficiently.
This guide provides a complete understanding of how to calculate a torque using an easy-to-use online tool.