Home Physics Units, Dimensions and Measurement Units The units of angular momentum are
Physics Units, Dimensions and Measurement Units Single Correct MCQ
Published on: September 12, 2026

The units of angular momentum are

A
\(kg \cdot m^{2} \cdot s^{-2}\)
B
Joule-s
C
joules
D
\(kg\cdot m \cdot s^{-2}\)

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Text Solution

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The correct answer is:
B
The angular momentum (L) of an object is defined as the product of its moment of inertia (I) and its angular velocity (ω). The formula for angular momentum is given by: $$L = I \cdot \omega$$ Where: - Moment of inertia (I) has units of kg·m² - Angular velocity (ω) has units of radians per second (rad/s) However, radians are dimensionless units in SI, so they do not change the units. Thus, the units of angular momentum are: $$\text{kg·m²/s}$$ This corresponds to option B: Joules-seconds (J·s), since 1 Joule is equal to 1 kg·m²/s², making J·s equivalent to kg·m²/s.

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