Question

Identify the pair, whose dimensions are equal:(A) Torque and work (B) Stress and energy(C) Force and stress (D) Force and work

Answer 1

Dear Student,

◆ Answer -

(A) Torque and work

● Explanation -

Torque is calculated as -

Torque = Force × Perpendicular distance

Dimensions of torque are -

[Torque] = [Force] × [Perpendicular distance]

[Torque] = [L1M1T-2] × [L]

[Torque] = [L2M1T-2]

Work is calculated as -

Work = Force . Displacement

Hence, dimensions of work are -

[Work] = [Force] . [Displacement]

[Work] = [L1M1T-2] . [L]

[Work] = [L2M1T-2]

Hence,

[Torque] = [Work]

Hope this helps you...