Question

1 point
8. Torque has the same
dimensions as those of *
(a) force
(b) work
(c) kinetic energy
d
(d) both '2' and '3'​

Answer 1

Answer:

Answer:

Explanation:

Answer: Torque is the moment of force given by: It's unit is Newton-meter. The unit of work/energy is also Newton-meter or Joule. Thus, both of these physical quantities have the same units/dimensions.

Answer 2

Torque has same dimensions as that of Work and Kinetic Energy (both 2 and 3).

• Torque is the rotational analogue of force.

$[torque] = [r \times f]$

$\implies [torque] = [ L\times ML{T}^{ - 2} ]$

$\implies [torque] = [ M{L}^{2} {T}^{ - 2} ]$

• Kinetic Energy and Work also have the same dimensions.

• Let kinetic energy be KE and work be W.

$\implies [torque] = [ KE ] = [ W ]$

So, option 4) is correct ✔️