Moment of Inertia Calculator

Enter 2 of the 3 below
<-- Inertia
<-- Mass
<-- Length

Given Mass = 10 and Moment of Inertia = 500
Calculate Length

The distance formula is denoted as follows:

Moment of Inertia = Mass x Length2

Rearranging the formula, we get:

Length2  =  Moment of Inertia

Plug in Moment of Inertia of 500 and mass of 10

Length2  =  500

Taking the square root of both sides, we have:

Length2 = √50

Final Answer:

What is the Answer?

Length = 7.0710678118655

How does the Moment of Inertia Calculator work?

Free Moment of Inertia Calculator - Calculates any of the 3 items from the Moment of Inertia equation, Inertia (I), Mass (M), and Length (L).
This calculator has 3 inputs.

What 1 formula is used for the Moment of Inertia Calculator?

  1. I = ML2

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Moment of Inertia Calculator?

a property of matter by which it continues in its existing state of rest or uniform motion in a straight line, unless that state is changed by an external force.
the measurement or extent of something from end to end
a physical quantity of matter in an object. Mass is measured in terms of the weight of a body.
moment of inertia
quantitative measure of the rotational inertia of a body

Example calculations for the Moment of Inertia Calculator

  1. m=20,l=10
  2. i=400,l=20
  3. i=500,m=10


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