Angular Momentum
A turntable of moment of inertia 0.6 kg·m² spins steadily about its vertical axis at an angular velocity of 10 rad/s. What is the magnitude of the angular momentum of the turntable?
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About This Question
- Subject
- physics
- Chapter
- rotational motion
- Topic
- angular momentum
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
6kg⋅m2/s
According to NCERT Class 11, Chapter 7 (System of Particles and Rotational Motion), the angular momentum of a rigid body rotating about a fixed axis is L = Iω, the rotational analogue of the linear momentum p = mv. It quantifies the amount of rotational motion a body possesses and is the quantity that an external torque must act on to change the spin. Because angular momentum is conserved when no external torque acts, it is a central quantity in rotational dynamics. Substituting the turntable data gives L = 0.6 × 10 = 6 kg·m²/s. The option 60 kg·m²/s ignores the decimal point in the moment of inertia and is ten times too large. The option 0.06 kg·m²/s applies an incorrect extra factor of ten in the opposite direction. The option 16.7 kg·m²/s arises from mistakenly dividing rather than multiplying the two quantities. A dimensional check confirms that kg·m² multiplied by s⁻¹ gives the correct angular-momentum units of kg·m²/s, and a value of 6 kg·m²/s is a reasonable result for a moderately heavy turntable spinning steadily at 10 rad/s.
This easy difficulty physics question is from the chapter rotational motion, covering the topic of angular momentum. It appeared in the 2025 exam.
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