Question

The dimensions of torque are same as that of ______.

Options

• moment of force

• pressure

• acceleration

• impulse

Answer 1

The dimensions of torque are same as that of moment of force.

Explanation:

Torque is expressed as,

τ = force (F) × perpendicular distance (r)

So, [τ] = [F] × [r]

= [MLT^-2][L]

= [ML² T^-2]

Now, the dimension of moment of force = force x distance = [MLT^-2] × [L¹] = [ML² T^-2]

(b) Dimension of pressure = Force × [Area]^-2 

= [MLT^-2] × [L^-2] = [ML^-1 T^-2]

(c) Dimension of acceleration = [M⁰L¹T^-2]

(d) Dimension of impulse = [Force] × [time]

= [MLT^-2][T¹] = MLT^-1

As, the torque has dimension [ML²T^-2], which is correctly matched by the dimensions of moment of force.