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Angular Momentum of a Point Mass — result sheet
Calculate angular momentum magnitude for a point mass moving tangentially at a stated radius and speed.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Angular momentum magnitude L = m r v for a point mass in tangential motion, where m is mass, r is radius, and v is tangential speed. This is a point-mass/tangential-motion model only.
This calculator applies the point-mass angular-momentum relation to an entered mass, radius, and tangential speed. It returns magnitude in kg m^2/s and does not model distributed-body rotation, orbit prediction, or mechanical design.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Point mass — kg; Finite nonnegative point-mass value in kilograms.; minimum 0; maximum 1000000000
- Radius from axis — m; Finite nonnegative perpendicular distance from the reference axis.; minimum 0; maximum 1000000
- Tangential speed — m/s; Finite nonnegative speed perpendicular to the radius in the ideal model.; minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Point mass | 2 |
| Radius from axis | 0.5 |
| Tangential speed | 4 |
Point-mass angular momentum is 4 kg m^2/s.
Assumptions and limits
- Mass is a finite nonnegative point-mass value in kilograms, radius is a finite nonnegative distance in metres, and speed is a finite nonnegative tangential speed in metres per second.
- The velocity is perpendicular to the radius so the cross-product magnitude reduces to m r v; the reference axis and vector direction are treated as already defined by the user.
- This is a point-mass/tangential-motion textbook model only. Distributed inertia, external torques, orbital prediction, and engineering advice are outside the calculation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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