# What is Dimensional Formula of Torque?

Posted in Dimensional Formulae | Email This Post |Force causes accelerations and Torque causes angular accelerations.Torque is proportional to the distance between the rotation axis and the point of application of the force (the point at which the force is applied).

Mathematically, Torque is defined as product of Angular acceleration and Moment of Inertia. Its formula is

**Torque = Angular Acceleration X Moment of Inertia**

Dimensional Formula of Angular Acceleration = M^{0}L^{0}T^{-2}

Dimensional Formula of Moment of Inertia= M^{1}L^{2}T^{0}

Putting these values in above equation we get

**Dimensional Formula of Torque= M ^{1}L^{2}T^{-2}**

SI unit of Torque is N m

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torque is nothing but a force but in rotating system

the force causes acceleration but torque causes angular acceleration

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What are the primary dimensions of (v.gradiant)v where v is velocity