ALTERNATIVE VIEW OF TORQUE
In the previous explanation of torque, we split the force F into its tangential and radial components with respect to r. Alternatively, we can split the moment arm r into parallel and perpendicular components with respect to F (refer to Figure 1). Then, the magnitude of torque is the perpendicular distance, r, multiplied by the magnitude of force, F. We can label the angle between F and r as . Then, the perpendicular distance would be 
    r = r sin()
And torque would be this perpendicular distance multiplied by the magnitude of the force
    = r F
    = r sin() F
    = r F sin()
     
     

Figure 1 Diagram of the perpendicular component, r, and parallel component, r, of the moment arm r with force F acting on it.


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