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Answer – The formula for torque, denoted by “T,” is as follows: Moment of Inertia multiplied by Angular Acceleration
Because the Moment of Inertia (M.O.I.) is equal to the square of Radius of Gyration multiplied by the Mass,
T= Iα…………….(1)
T= angular torque(Nm)
I= moment of inertia= mk²’
m= mass
k= radius of gyration
α=angular acceleration
∴ The dimensional formula of Moment of Inertia = M¹ L² T0 . . . (2)
And, Angular Acceleration = Angular velocity × Time-1
Angular acceleration can be expressed as a formula with the following dimensions: M0 L0 T-2…..(3)
When we plug in equations (2) and (3) into equation (1), we get the following:
The formula for torque is: Moment of Inertia multiplied by Angular Acceleration.
T = [M¹ L² T0] × [M0 L0 T-2] = [M L² T-2].
Because of this, the torque is denoted in dimensions by the notation [M L² T-2].
