Angular Momentum Calculator
Calculate L for Point Mass, Rigid Body, and Orbital Motion
Calculate angular momentum with detailed step-by-step solutions for different types of rotational systems.
Input Parameters
Point Mass Formula:
L = m × v × r
What is Angular Momentum?
Angular momentum (L) is the rotational equivalent of linear momentum. It's conserved in isolated systems.
Formulas:
Point Mass: L = m × v × r
Rigid Body: L = I × ω
Orbital: L = m × r² × ω
Features
- Point mass calculation
- Rigid body calculation
- Orbital motion calculation
- Step-by-step solutions
- Angular velocity calculation
- Kinetic energy (rigid body)
- Scientific notation support
- Copy results
- Quick examples
Conservation Law
Conservation:
In isolated systems, total angular momentum is conserved
Direction:
Angular momentum is a vector quantity
Units:
kg⋅m²/s or J⋅s
Common Examples
Figure Skater:
Pulls arms in to spin faster
Earth's Orbit:
L ≈ 2.7 × 10⁴⁰ kg⋅m²/s
Electron:
Intrinsic spin angular momentum
Gyroscope:
Maintains orientation due to L
Use Cases
- Physics problems and homework
- Rotational dynamics analysis
- Orbital mechanics calculations
- Engineering design
- Astronomy and astrophysics
- Quantum mechanics
- Sports science
- Mechanical systems
Applications
Real-World Applications:
Astronomy:
Planetary orbits, galaxy rotation
Engineering:
Gyroscopes, flywheels, turbines
Sports:
Diving, figure skating, gymnastics
Quantum:
Electron spin, atomic structure
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