Give the unit of the torsional constant.

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Question

(A) The torsional constant $(k)$ is defined by the restoring torque $(	au)$ per unit angular twist $(	heta)$, given by the equation $	au = k	heta$

Vedclass · Accepted Answer

$N \cdot m/rad$

Vedclass · Answer

(A) The torsional constant $(k)$ is defined by the restoring torque $(	au)$ per unit angular twist $(	heta)$, given by the equation $	au = k	heta$. Rearranging for $k$, we get $k = 	au / 	heta$. The unit of torque $(	au)$ is Newton-meter $(N \cdot m)$ and the unit of angular twist $(	heta)$ is radian $(rad)$. Therefore, the unit of the torsional constant is $N \cdot m/rad$.

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