Rotational Momentum

How to use this calculator

Enter three of the following values (leave the fourth value blank):

Mass (Earths)
Radius (kilometers or Earth radii)
Rotation Period (days, hours, minutes and/or seconds)
Rotational Momentum (kg*m²*s^-1)

Press the "Generate Button to calculate the missing value.

Mass (Earths)

Radius

Rotational Momentum (kg*m²*s^-1)

km	Earths

Rotational Period
Days	Hours	Minutes	Seconds

Time Reorganized Below

Rotational Momentum Formula

The rotational momentum of a sphere with uniform density is:

L_rot = 0.8*pi * MR²/ T_rot.

Example 1: The rotational angular momentum of the Earth is

L_rot = 0.8*pi * MR²/ T_rot
L_rot = 0.8 * 3.141592653589793 * (5.9722 x 10²⁴ kg)(6.371 x 10⁶m)²/ (8.64 x 10⁴s)
L_rot = 7.051405183193606 x 10³³ kg m²s^-1

M = mass (kg)
R = radius(meters)
T = rotation period (seconds)