1 Answer
The torque formula refers to the mathematical expression that describes the rotational force applied to an object. Torque is what causes objects to rotate about an axis. The formula for torque is:
\[
\tau = F \times r \times \sin(\theta)
\]
Where:
Explanation:
So, torque measures how much force causes an object to rotate and depends on both the magnitude of the force and how far from the axis of rotation the force is applied.
\[
\tau = F \times r \times \sin(\theta)
\]
Where:
- \(\tau\) is the torque (measured in Newton-meters, Nm).
- \(F\) is the force applied (measured in Newtons, N).
- \(r\) is the distance from the axis of rotation to the point where the force is applied (measured in meters, m).
- \(\theta\) is the angle between the force vector and the lever arm (the line connecting the axis of rotation to the point where the force is applied).
Explanation:
- Torque is highest when the force is applied at a 90-degree angle to the lever arm (meaning \(\sin(90^\circ) = 1\)).
- If the force is applied along the direction of the lever arm (or parallel to it), the torque is zero because \(\sin(0^\circ) = 0\).
- The longer the distance (\(r\)) from the pivot point where the force is applied, the greater the torque for the same force.
So, torque measures how much force causes an object to rotate and depends on both the magnitude of the force and how far from the axis of rotation the force is applied.