which factor does the torque on an object not depend on?
Which factor does the torque on an object not depend on?
Answer:
Torque, denoted by the symbol \tau, is the rotational equivalent of force in linear motion. The torque acting on an object is calculated by multiplying the force applied by the distance from the point of rotation. There is one specific factor that torque does not depend on, and that is the angle at which the force is applied.
Torque is given by the formula: \tau = r \times F \times \sin(\theta), where:
- \tau = torque
- r = distance from the axis of rotation to the point where the force is applied
- F = magnitude of the force applied
- \theta = angle between the force and the lever arm
It’s important to note that torque does not directly depend on the angle \theta. This is because the sine of 0 degrees (or 180 degrees) is 0, meaning that when the force is applied either parallel or anti-parallel to the lever arm, there is no contribution to the torque. In such cases, the angle becomes irrelevant in the torque calculation.