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Describe how the magnitude of a torque depends on the magnitude of the lever arm and the angle the force vector makes with the lever arm; Determine the sign (positive or negative) of a torque using the right-hand rule; Calculate individual torques about a common axis and sum them to find the net torque
NOTE: here the lever arm = (force position - axis position). If signs are carefully kept, the sign of the force times the lever arm sign will successfully give the sign of the resulting torque.
Describe how the magnitude of a torque depends on the magnitude of the lever arm and the angle the force vector makes with the lever arm; Determine the sign (positive or negative) of a torque using the right-hand rule; Calculate individual torques about a common axis and sum them to find the net torque
Lever Arm. The magnitude of the torque with respect to a given axis of rotation can be approached as the force times the lever arm with respect to that axis. The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force. The direction of the torque is given by the right hand rule. Index Torque concepts
The symbol for torque is the lowercase Greek letter tau, . F is the force causing the torque. The equation is sometimes given as !τ = ! ! r⊥F. ! ! ! • is called the “moment arm” or “lever arm” and r⊥ r⊥ = rsinθ. ! r is the position vector from the axis of rotation to where the force is applied to the object.
The Torque Concept Builder focuses attention upon the variables that affect the amount of torque, the direction of rotation caused by a torque, the +/- sign of torque, and the meaning of lever arm.
Torque is introduced via the equation and several door opening demonstrations. Moment arm or lever arm is defined and illustrated. This is an AP Physics 1 topic.
