write a short note torque and it's properties
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Answer:
Torque (also known as moment, or moment of force) is the tendency of a force to cause or change the rotational motion of a body. It is a twist or turning force on an object. Torque is calculated by multiplying force and distance. It is a vector quantity, meaning it has both a direction and a magnitude. Either the angular velocity for the moment of inertia of an object is changing, or both.
In three dimensions, the torque is a pseudovector; for point particles, it is given by the cross product of the position vector (distance vector) and the force vector. The magnitude of torque of a rigid body depends on three quantities: the force applied, the lever arm vector[2] connecting the origin to the point of force application, and the angle between the force and lever arm vectors. In symbols:
{\displaystyle {\boldsymbol {\tau }}=\mathbf {r} \times \mathbf {F} \,\!}{\displaystyle \tau =\|\mathbf {r} \|\,\|\mathbf {F} \|\sin \theta \,\!}
where
{\displaystyle {\boldsymbol {\tau }}} is the torque vector and {\displaystyle \tau } is the magnitude of the torque,r is the position vector (a vector from the origin of the coordinate system defined to the point where the force is applied)F is the force vector,× denotes the cross product, which produces a vector that is perpendicular to both r and F following the right-hand rule,{\displaystyle \theta } is the angle between the force vector and the lever arm vector.
The SI unit for torque is N⋅m. For more on the units of torque, see Units.