Torque

Forces can cause objects to move in a linear way but objects may also twist or rotate. Consider the two forces acting on the box in the diagram on the right. The net force is zero because the forces are equal and in opposite directions. However, the box rotates because there is a torque created by these forces. A torque is a twisting action created by both force and distance. Torque is caused by forces that act to twist or rotate an object
A force creates torque when its line of action does not pass through an object's center of rotation. The line of action is an imaginary line in the direction of the force passing though its point of application. Both forces in the diagram create torque.
(2.9) τ=r×F
τ  = torque (N m)
r  = distance from center to line of action (m)
F  = force (N)
Torque
Torque is usually represented by the lower case Greek letter τ (“tau”). The torque τ is the lever arm r times the magnitude of the force F. The lever arm is the perpendicular distance from the center of rotation to the line of action of the force. If the line of action passes through the center of rotation, the lever arm is zero, and so is the torque, no matter how large a force is applied.
The units of torque are force times distance, or newton-meters. A torque of 20 N-m is created by a force of 100 N acting with a lever arm of 0.2 meters. Because torque is a product of two variables, it is possible to create the same torque with different forces. For example, a 20-newton force applied with a lever arm of 1 meter also produces a torque of 20 N-m.Torque from a force and the line of action
In English units, torque is usually expressed in pound-feet. A torque of one pound-foot represents the twisting action of a one pound force with a lever arm of 1 foot.
Examples of positive and negative values for torque The torque from any force depends on the location of the center of rotation. The same force can produce a different torque with a different center of rotation. Torques can also be positive or negative depending on whether they tend to cause clockwise or counterclockwise rotation about any given center. Show
Jamir is struggling to loosen a bolt with a short wrench. If he uses a longer wrench but pushes with the same force, what happens to the torque generated?
  1. Increases
  2. Decreases
  3. Does not change
  4. No torque is generated
Show


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