## torque and force

as you all now torque in rotational motion has similarity with force in translational motion. but torque has the same unit as energy.it 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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 Recognitions: Science Advisor In translational motion, work done (energy) is $$E=\int Fdx$$ In the same manner, in rotational motion, $$E=\int\tau d\theta$$ Since $$\inline{\theta}$$ is dimensionless, torque $$\inline{\tau}$$ 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.