First slide

Dimensions of physical quantities

Question

If I is the moment of inertia and $ω$ the angular velocity, what is the dimensional formula of rotational kinetic energy

Moderate

A

$[M L^{2} T^{- 1}]$
B

$[M^{2} L^{- 1} T^{- 2}]$
C

$[M L^{2} T^{- 2}]$
D

$[M^{2} L^{- 1} T^{2}]$

Solution

Do not think in terms of $ℓ a n d ω .$ Remember; kinetic energy is fundamentally, 'work'.
W = Force $\times$ distance
$= [M L T^{- 2}] \times [L]$
$= [M L^{2} T^{- 2}]$

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