Torque, often referred to as the moment of force, is the rotational equivalent of linear force. It represents the tendency of a force to cause an object to rotate around an axis, fulcrum, or pivot. Understanding torque is fundamental in mechanical engineering, automotive design (such as engine torque), and structural physics. The magnitude of torque depends on three crucial factors: the applied force, the length of the lever arm connecting the axis to the point of force application, and the angle at which the force is applied.
Torque Equation
τ = r × F × sin(θ)
Where τ is torque (Newton-meters), r is the lever arm distance (meters), F is the applied force (Newtons), and θ is the angle between the force vector and the lever arm.
How to Use This Calculator
- Select the variable you need to calculate (Torque, Force, or Radius/Distance).
- Enter the magnitude of the applied Force (in Newtons or Pound-force).
- Input the Distance or length of the lever arm (in meters or feet).
- Specify the Angle of application (default is 90 degrees for maximum torque).
- Click Calculate to evaluate the rotational force.
Frequently Asked Questions (FAQ)
Why is it easier to loosen a bolt with a longer wrench?
This is the principle of torque in action. Because torque is the product of force multiplied by distance (τ = r × F), increasing the distance (using a longer wrench) means you can apply much less physical force to achieve the exact same rotational twisting power.
What happens if the angle of force is 0 degrees?
If you pull or push directly parallel to the lever arm (an angle of 0 or 180 degrees), the sine of the angle is zero. This results in zero torque. To maximize torque, force should always be applied perfectly perpendicular (at 90 degrees) to the lever arm.