Torque

Torque

Introduction : Torque is the rotational analogous of force. When a torque is applied to any body, the body perform rotational motion. We know that rotational effect of any rigid body depends on angular acceleration, moment of inertia .Thus there exist an relation between torque and moment of inertia of any rotating body. Let us understand it in detail.

Moment of force is called as torque.

Mathematically,

τ = F x r

 τ= torque

F = force

                 r= position vector

Consider a rigid body rotating about an axis perpendicular to the plane with constant angular acceleration ∝. Let this body is made up of n numbers of particles of masses m₁,m_2,m₃,m_n at respective perpendicular distances r₁,r_2,r_3,r_n from axis of rotation. When the body rotates each particle rotates with same angular acceleration ∝ and different linear  acceleration  a₁,a_2,a₃,a_n.

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