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Calculators/Physics/Angular momentum (point mass)
Physics

Angular momentum (point mass) calculator

Rotational momentum of a point mass moving on a circular path.

What this calculator does

Angular momentum (point mass) works out rotational momentum of a point mass moving on a circular path. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaL = Iω = mvr, I = mr² for a point mass

The inputs explained

FieldWhat to enter
Mass (kg)A number, measured in kg. Starts at 2.
Radius (m)A number, measured in m. Starts at 0.5.
Tangential speed (m/s)A number, measured in m/s. Starts at 4.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with mass

Every other input is held at the calculator’s starting values while mass varies. Select any row to load that scenario into the calculator.

How the answer changes with mass
Mass (kg)Angular momentumMoment of inertia (point mass)Angular velocity
12.000 kg·m²/s0.2500 kg·m²8.000 rad/s
1.53.000 kg·m²/s0.3750 kg·m²8.000 rad/s
24.000 kg·m²/s0.5000 kg·m²8.000 rad/s
36.000 kg·m²/s0.7500 kg·m²8.000 rad/s
48.000 kg·m²/s1.000 kg·m²8.000 rad/s
612.000 kg·m²/s1.500 kg·m²8.000 rad/s