Determine the dimensions of torque . Some of the equations involving related quantities are ω = (θ_2 - θ_1)/(t_2 - t_1) , α = (ω_2 - ω_1)/(t_2 - t_1) , = F · r and I = mr^2 . The symbols have standard meanings.

Correct answer: B. ML^2 T^ -2 Torque is given by the product of force F and distance r . = F · r The dimensional formula of force F is [M L T^ -2 ] . The dimensional formula of distance r is [L] . Substituting these dimensions into the formula for torque: [ ] = [M L T^ -2 ] × [L] = [M L^2 T^ -2 ]

Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Introduction to Physics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Introduction to Physics

Determine the dimensions of torque . Some of the equations...

Determine the dimensions of torque

\Gamma

.
Some of the equations involving related quantities are

\omega = \dfrac{\theta_2 - \theta_1}{t_2 - t_1}

\alpha = \dfrac{\omega_2 - \omega_1}{t_2 - t_1}

\Gamma = F \cdot r

and

I = mr^2

.
The symbols have standard meanings.

Options

A $ML T^{-2}$
B $ML^2 T^{-2}$
C $ML^2 T^{-1}$
D $ML^2$

Correct answer

B. $ML^2 T^{-2}$

Step-by-step solution

Torque

\Gamma

is given by the product of force

F

and distance

r

\Gamma = F \cdot r

The dimensional formula of force

F

[M L T^{-2}]

.

The dimensional formula of distance

r

[L]

.

Substituting these dimensions into the formula for torque:

[\Gamma] = [M L T^{-2}] \times [L] = [M L^2 T^{-2}]

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