如何计算Angular Momentum
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Angular momentum describes the rotational motion of objects, analogous to linear momentum. It's crucial for understanding spinning objects, orbits, and rotational dynamics.
公式
The calculator applies L = m × v × r or L = I × ω
- L
- m × v × r or L = I × ω — m × v × r or L = I × ω
- I
- I value — Variable used in the calculation
分步指南
- 1Input mass, velocity, and perpendicular distance from rotation axis (r)
- 2The calculator applies L = m × v × r or L = I × ω
- 3Results show angular momentum magnitude and direction
例题解析
输入
m = 1 kg, v = 10 m/s, r = 0.5 m
结果
L = 5 kg·m²/s
Perpendicular distance crucial
常见错误注意事项
- ✕Using linear momentum formulas instead of angular versions
- ✕Forgetting that distance r must be perpendicular to velocity
常见问题
Why do ice skaters spin faster when they pull their arms in?
Angular momentum is conserved; decreasing moment of inertia (I) causes angular velocity (ω) to increase.
Is angular momentum conserved?
Yes, in systems with no external torque. This is why planetary orbits remain stable.
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