Bond Length given Moment of Inertia Calculator

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 [m₁]			+10% -10%
✖Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.ⓘ Mass 2 [m₂]			+10% -10%

✖Bond Length given Moment of Inertia2 is the distance between center of two molecules(or two masses).ⓘ Bond Length given Moment of Inertia [L_bond2]

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Bond Length given Moment of Inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2)))
L_bond2 = sqrt(I*((m₁+m₂)/(m₁*m₂)))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Bond Length given Moment of Inertia2 - (Measured in Meter) - Bond Length given Moment of Inertia2 is the distance between center of two molecules(or two masses).
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Mass 1 - (Measured in Kilogram) - Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Mass 2 - (Measured in Kilogram) - Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_bond2 = sqrt(I*((m₁+m₂)/(m₁*m₂))) --> sqrt(1.125*((14+16)/(14*16)))

Evaluating ... ...

L_bond2 = 0.388161877130074

STEP 3: Convert Result to Output's Unit

0.388161877130074 Meter -->38.8161877130074 Centimeter (Check conversion here)

FINAL ANSWER

38.8161877130074 ≈ 38.81619 Centimeter <-- Bond Length given Moment of Inertia2

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

Nishant Sihag has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Bond Length given Masses and Radius 2

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Bond Length given Moment of Inertia Formula

LaTeX Go

Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2)))
L_bond2 = sqrt(I*((m₁+m₂)/(m₁*m₂)))

How to get Bond length using moment of inertia?

By using, the total moment of inertia is the sum of the moments of inertia of the mass elements in the body. And moment of inertia of mass element is mass of particle times square of the radius (distance from center of mass). Further using relation of radii with bond length obtained through simple algebra. Thus both radii can be found in terms of their masses and bond length. And a relation or formula of bond length using masses of diatomic molecule and Moment of inertia is obtained.

How to Calculate Bond Length given Moment of Inertia?

Bond Length given Moment of Inertia calculator uses Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2))) to calculate the Bond Length given Moment of Inertia2, The Bond length given moment of inertia formula basically derived from two relationships, first between moment of inertia and radii(distance from COM) and the second one is relation between bond length and these radii. Bond Length given Moment of Inertia2 is denoted by L_bond2 symbol.

How to calculate Bond Length given Moment of Inertia using this online calculator? To use this online calculator for Bond Length given Moment of Inertia, enter Moment of Inertia (I), Mass 1 (m₁) & Mass 2 (m₂) and hit the calculate button. Here is how the Bond Length given Moment of Inertia calculation can be explained with given input values -> 3881.619 = sqrt(1.125*((14+16)/(14*16))).

FAQ

What is Bond Length given Moment of Inertia?

The Bond length given moment of inertia formula basically derived from two relationships, first between moment of inertia and radii(distance from COM) and the second one is relation between bond length and these radii and is represented as L_bond2 = sqrt(I*((m₁+m₂)/(m₁*m₂))) or Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2))). Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis, Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it & Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

How to calculate Bond Length given Moment of Inertia?

The Bond length given moment of inertia formula basically derived from two relationships, first between moment of inertia and radii(distance from COM) and the second one is relation between bond length and these radii is calculated using Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2))). To calculate Bond Length given Moment of Inertia, you need Moment of Inertia (I), Mass 1 (m₁) & Mass 2 (m₂). With our tool, you need to enter the respective value for Moment of Inertia, Mass 1 & Mass 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bond Length given Moment of Inertia2?

In this formula, Bond Length given Moment of Inertia2 uses Moment of Inertia, Mass 1 & Mass 2. We can use 2 other way(s) to calculate the same, which is/are as follows -

Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass)
Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass)

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