Hello Saba,

Your question is related to the basic concepts of physics. But it is a good one.

So, first we will see the Torque and angular acceleration separately and then we will see that how they are inter related.

Torque is the force which causes the body to rotate. Consider a body AB. Let, the length of AB be L. Let, a force F acts at B. So, the force F will produce a torque and the body will start rotating about A.

Mathematically,  it can be given as, T = F x L.

where, T is Torque, F is Force and L is the Length of body.

Now, talking about angular acceleration, it is associated with the body rotating in circular motion only. It is defined as the rate of change of angular acceleration with respect to time.

Mathematically, it can be given as,

α = dw / dt.

where, w is the angular velocity,  α  is the angular acceleration.

If you want to relate torque and angular acceleration, they can be related with the help of Newton's Second Law of motion as,

T = I x  α

where, I is the Moment of Inertia of the Body.

• Torque is equal to the product of the rotational inertia about that axis and the angular acceleration.

• i.e Torque = moment of inertia x angular momentum.