At the end of lecture 21, Professor Aroux says that in a velocity field, the curl is twice the angular velocity of rotation component of the field. But when it comes to force field, he simply says the curl measures the torque exerted. Should the curl be equal to twice the torque or not and why? Thanks

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At the end of lecture 21, Professor Aroux says that in a velocity field, the curl is twice the angular velocity of rotation component of the field. But when it comes to force field, he simply says the curl measures the torque exerted. Should the curl be equal to twice the torque or not and why? Thanks

MIT 18.02 Multivariable Calculus, Fall 2007
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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