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Radius 2 given Moment of Inertia Formula

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Radius 2 given Moment of Inertia is a distance of mass 1 from the center of mass. Check FAQs

R i2 = \sqrt{\frac{I - (m 1 \cdot {R 1}^{2})}{m 2}}

R_i2 - Radius 2 given Moment of Inertia?I - Moment of Inertia?m₁ - Mass 1?R₁ - Radius of Mass 1?m₂ - Mass 2?

Radius 2 given Moment of Inertia Example

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Here is how the Radius 2 given Moment of Inertia equation looks like with Values.

Here is how the Radius 2 given Moment of Inertia equation looks like with Units.

Here is how the Radius 2 given Moment of Inertia equation looks like.

26.4794 = \sqrt{\frac{1.125 - (14 \cdot {1.5}^{2})}{16}}

26.4794cm = \sqrt{\frac{1.125kg·m² - (14kg \cdot {1.5cm}^{2})}{16kg}}

26.4794 = \sqrt{\frac{1.125 - (14 \cdot {1.5}^{2})}{16}}

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Radius 2 given Moment of Inertia Solution

Follow our step by step solution on how to calculate Radius 2 given Moment of Inertia?

FIRST Step Consider the formula

R i2 = \sqrt{\frac{I - (m 1 \cdot {R 1}^{2})}{m 2}}

Next Step Substitute values of Variables

∴

R i2 = \sqrt{\frac{1.125kg·m² - (14kg \cdot {1.5cm}^{2})}{16kg}}

Next Step Convert Units

∴

R i2 = \sqrt{\frac{1.125kg·m² - (14kg \cdot {0.015m}^{2})}{16kg}}

Next Step Prepare to Evaluate

∴

R i2 = \sqrt{\frac{1.125 - (14 \cdot {0.015}^{2})}{16}}

Next Step Evaluate

∴

R i2 = 0.264793551658646m

Next Step Convert to Output's Unit

∴

R i2 = 26.4793551658646cm

LAST Step Rounding Answer

∴

R i2 = 26.4794cm

Radius 2 given Moment of Inertia Formula Elements

Variables

Functions

Radius 2 given Moment of Inertia

Radius 2 given Moment of Inertia is a distance of mass 1 from the center of mass.

Symbol: R_i2

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Radius 2 given Moment of Inertia

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Mass 1

Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 1

Radius of Mass 1

Radius of mass 1 is a distance of mass 1 from the center of mass.

Symbol: R₁

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Mass 1

Mass 2

Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 2

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.

Syntax: sqrt(Number)

Other formulas in Reduced Mass and Radius of Diatomic Molecule category

Go Mass 1 of Diatomic Molecule

m d1 = m 2 \cdot \frac{R 2}{R 1}

Go Mass 1 given Moment of Inertia

m_1 = \frac{I - (m 2 \cdot {R 2}^{2})}{{R 1}^{2}}

Go Mass 2 of Diatomic Molecule

m d2 = m 1 \cdot \frac{R 1}{R 2}

Go Mass 2 given Moment of Inertia

m i2 = \frac{I - (m 1 \cdot {R 1}^{2})}{{R 2}^{2}}

How to Evaluate Radius 2 given Moment of Inertia?

Radius 2 given Moment of Inertia evaluator uses Radius 2 given Moment of Inertia = sqrt((Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Mass 2) to evaluate the Radius 2 given Moment of Inertia, The Radius 2 given moment of inertia is basically a method to get Radius 2 from the formula of the moment of inertia. The total moment of inertia is the sum of the moments of inertia of the mass elements in the body. So for moment of inertia of mass 2, total moment of inertia is reduced by moment of inertia of mass 1. And thus, by the formula, Radius 2 is obtained. Radius 2 given Moment of Inertia is denoted by R_i2 symbol.

How to evaluate Radius 2 given Moment of Inertia using this online evaluator? To use this online evaluator for Radius 2 given Moment of Inertia, enter Moment of Inertia (I), Mass 1 (m₁), Radius of Mass 1 (R₁) & Mass 2 (m₂) and hit the calculate button.

FAQs on Radius 2 given Moment of Inertia

What is the formula to find Radius 2 given Moment of Inertia?

The formula of Radius 2 given Moment of Inertia is expressed as Radius 2 given Moment of Inertia = sqrt((Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Mass 2). Here is an example- 2647.936 = sqrt((1.125-(14*0.015^2))/16).

How to calculate Radius 2 given Moment of Inertia?

With Moment of Inertia (I), Mass 1 (m₁), Radius of Mass 1 (R₁) & Mass 2 (m₂) we can find Radius 2 given Moment of Inertia using the formula - Radius 2 given Moment of Inertia = sqrt((Moment of Inertia-(Mass 1*Radius of Mass 1^2))/Mass 2). This formula also uses Square Root (sqrt) function(s).

Can the Radius 2 given Moment of Inertia be negative?

Yes, the Radius 2 given Moment of Inertia, measured in Length can be negative.

Which unit is used to measure Radius 2 given Moment of Inertia?

Radius 2 given Moment of Inertia is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Radius 2 given Moment of Inertia can be measured.

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Radius 2 given Moment of Inertia Formula

Radius 2 given Moment of Inertia Example

Radius 2 given Moment of Inertia Solution

Radius 2 given Moment of Inertia Formula Elements

Other formulas in Reduced Mass and Radius of Diatomic Molecule category

How to Evaluate Radius 2 given Moment of Inertia?

FAQs on Radius 2 given Moment of Inertia

Variable Name