Torque from Force and Lever Arm
Torque from Force and Lever Arm
\[\tau = rF\]
Variables
tau = torque (N·m)
r = lever arm distance (m)
F = perpendicular force (N)
Description
What is this formula?
This equation calculates the torque generated by a perpendicular force applied at a distance from a pivot point. Torque measures the rotational effect of a force.
When to use it
Use this formula when analyzing levers, rotating machinery, shafts, wrenches, motors, or any system involving rotational forces.
Example
A force of 50 N is applied perpendicular to a wrench at a distance of 0.3 m from the pivot.
Data:
F = 50 N
r = 0.3 m
Formula:
tau = r*F
Substitution:
tau = 0.3*50
Result:
tau = 15 N·m
Applications
Mechanical engineering, machine design, automotive systems, robotics, structural mechanics, and rotational dynamics.
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