How to Calculate Angular Momentum
What is Angular Momentum?
Angular momentum describes the rotational motion of objects, analogous to linear momentum. It's crucial for understanding spinning objects, orbits, and rotational dynamics.
Formula
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
Step-by-Step Guide
- 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
Worked Examples
Input
m = 1 kg, v = 10 m/s, r = 0.5 m
Result
L = 5 kg·m²/s
Perpendicular distance crucial
Common Mistakes to Avoid
- ✕Using linear momentum formulas instead of angular versions
- ✕Forgetting that distance r must be perpendicular to velocity
Frequently Asked Questions
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.
Ready to calculate? Try the free Angular Momentum Calculator
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