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Mass 1 given Moment of Inertia Formula

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Mass2 of object1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it. Check FAQs

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

m_{_1} - Mass2 of object1?I - Moment of Inertia?m₂ - Mass 2?R₂ - Radius of Mass 2?R₁ - Radius of Mass 1?

Mass 1 given Moment of Inertia Example

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Here is how the Mass 1 given Moment of Inertia equation looks like with Values.

Here is how the Mass 1 given Moment of Inertia equation looks like with Units.

Here is how the Mass 1 given Moment of Inertia equation looks like.

4936 = \frac{1.125 - (16 \cdot 3^{2})}{{1.5}^{2}}

4936kg = \frac{1.125kg·m² - (16kg \cdot {3cm}^{2})}{{1.5cm}^{2}}

4936 = \frac{1.125 - (16 \cdot 3^{2})}{{1.5}^{2}}

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Mass 1 given Moment of Inertia Solution

Follow our step by step solution on how to calculate Mass 1 given Moment of Inertia?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m_1 = \frac{1.125kg·m² - (16kg \cdot {3cm}^{2})}{{1.5cm}^{2}}

Next Step Convert Units

∴

m_1 = \frac{1.125kg·m² - (16kg \cdot {0.03m}^{2})}{{0.015m}^{2}}

Next Step Prepare to Evaluate

∴

m_1 = \frac{1.125 - (16 \cdot {0.03}^{2})}{{0.015}^{2}}

LAST Step Evaluate

∴

m_1 = 4936kg

Mass 1 given Moment of Inertia Formula Elements

Variables

Mass2 of object1

Mass2 of object1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

Symbol: m_{_1}

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass2 of object1

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 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

Radius of Mass 2

Radius of Mass 2 is a distance of mass 2 from the center of mass.

Symbol: R₂

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Mass 2

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

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 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}}

Go Radius 1 of Rotation

R r1 = m 2 \cdot \frac{R 2}{m 1}

How to Evaluate Mass 1 given Moment of Inertia?

Mass 1 given Moment of Inertia evaluator uses Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2 to evaluate the Mass2 of object1, Mass 1 given moment of inertia is basically a method to get mass 1 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 1, total moment of inertia is reduced by moment of inertia of mass 2. And thus the formula for mass 1 is obtained. Mass2 of object1 is denoted by m_{_1} symbol.

How to evaluate Mass 1 given Moment of Inertia using this online evaluator? To use this online evaluator for Mass 1 given Moment of Inertia, enter Moment of Inertia (I), Mass 2 (m₂), Radius of Mass 2 (R₂) & Radius of Mass 1 (R₁) and hit the calculate button.

FAQs on Mass 1 given Moment of Inertia

What is the formula to find Mass 1 given Moment of Inertia?

The formula of Mass 1 given Moment of Inertia is expressed as Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2. Here is an example- 4936 = (1.125-(16*0.03^2))/0.015^2.

How to calculate Mass 1 given Moment of Inertia?

With Moment of Inertia (I), Mass 2 (m₂), Radius of Mass 2 (R₂) & Radius of Mass 1 (R₁) we can find Mass 1 given Moment of Inertia using the formula - Mass2 of object1 = (Moment of Inertia-(Mass 2*Radius of Mass 2^2))/Radius of Mass 1^2.

Can the Mass 1 given Moment of Inertia be negative?

Yes, the Mass 1 given Moment of Inertia, measured in Weight can be negative.

Which unit is used to measure Mass 1 given Moment of Inertia?

Mass 1 given Moment of Inertia is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass 1 given Moment of Inertia can be measured.

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Mass 1 given Moment of Inertia Formula

Mass 1 given Moment of Inertia Example

Mass 1 given Moment of Inertia Solution

Mass 1 given Moment of Inertia Formula Elements

Other formulas in Reduced Mass and Radius of Diatomic Molecule category

How to Evaluate Mass 1 given Moment of Inertia?

FAQs on Mass 1 given Moment of Inertia

Variable Name