A body of mass m moves in a circle of radius r with constant angular velocity ω about a point. What is Its angular momentum about this point?
Correct answer: C. mr2 ω
- A. m ω
- B. mr ω
- C. mr2 ω
- D. mr ω2
Explanation
When a body moves in a circle with constant angular velocity, its angular momentum about a point can be calculated using the formula L=Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. For a body of mass m moving in a circle of radius r, the moment of inertia I=mr2. Therefore, the correct angular momentum is mr2ω. Options A, B, and D are incorrect because they either omit or incorrectly calculate the moment of inertia in the angular momentum formula.
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