Torque vs Force: What's the Difference?

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Torque in rotational motion is analogous to force in translational motion, but it shares the same units as energy, which raises questions about its conceptual clarity. The work done in translational motion is expressed as E = ∫Fdx, while in rotational motion, it is E = ∫τdθ. Since θ is dimensionless, torque (τ) indeed has the same units as energy, leading to potential confusion. To differentiate between the two, torque can be conceptualized as joules per radian, emphasizing its role in rotational dynamics without conflating it with energy itself. This distinction is crucial for understanding the mechanics of both translational and rotational systems.
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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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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.
 

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