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The dimension of angular impulse is
Question

The dimension of angular impulse is

A.

[M0LT0][M^{0}LT^{0}]​​

B.

[M2LT0][M^{-2}LT^{0}]​​

C.

[ML2T1][ML²T^{-1}]​​

D.

[M1L2T1][M^{-1}L^{2}T{-1}]​​

Correct option is C

The correct answer is: (c) [M L² T⁻¹]
• Angular impulse is defined as: Angular Impulse = Torque × Time
Torque (τ) = Force × Perpendicular distance
→ [M L T⁻²] × [L] = [M L² T⁻²]
Angular Impulse = [M L² T⁻²] × [T] = [M L² T⁻¹]
So, the dimensional formula of angular impulse is [M L² T⁻¹].
Information Booster:
• Linear impulse = Force × Time → [M L T⁻¹]
Torque = [M L² T⁻²]
Angular momentum = Moment of inertia × Angular velocity → [M L² T⁻¹]
Angular impulse = Change in angular momentum
• Both angular impulse and angular momentum have same dimensions

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