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Torque and force

by burak_ilhan
Tags: force, torque
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Dec17-03, 04:45 PM
P: 14
as you all now torque in rotational motion has similarity with force in translational motion. but torque has the same unit as seems to me that there is a problem. Any explanation you have? (please ssmt different than " they are defined that way!!"
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Dec17-03, 11:03 PM
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krab's Avatar
P: 905
In translational motion, work done (energy) is

[tex]E=\int Fdx[/tex]

In the same manner, in rotational motion,

[tex]E=\int\tau d\theta[/tex]

Since [tex]\inline{\theta}[/tex] is dimensionless, torque [tex]\inline{\tau}[/tex] has same units as energy. If it helps in keeping things apart, you can think of the units of torque as being say joules per radian.

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