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Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm Formula

GoMoment of Inertia of Pulley's Arm Formula

GoMoment of Inertia of Pulley's Arm given Bending Stress in Arm Formula

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Area Moment of Inertia of Arms is the measure of the resistance of the arms of a part its angular acceleration about a given axis without considering its mass. Check FAQs

I = π \cdot \frac{a^{4}}{8}

I - Area Moment of Inertia of Arms?a - Minor Axis of Pulley Arm?π - Archimedes' constant?

Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm Example

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Here is how the Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm equation looks like with Values.

Here is how the Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm equation looks like with Units.

Here is how the Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm equation looks like.

13672.9644 = 3.1416 \cdot \frac{{13.66}^{4}}{8}

13672.9644mm⁴ = 3.1416 \cdot \frac{{13.66mm}^{4}}{8}

13672.9644 = 3.1416 \cdot \frac{{13.66}^{4}}{8}

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Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm Solution

Follow our step by step solution on how to calculate Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm?

FIRST Step Consider the formula

I = π \cdot \frac{a^{4}}{8}

Next Step Substitute values of Variables

∴

I = π \cdot \frac{{13.66mm}^{4}}{8}

Next Step Substitute values of Constants

∴

I = 3.1416 \cdot \frac{{13.66mm}^{4}}{8}

Next Step Convert Units

∴

I = 3.1416 \cdot \frac{{0.0137m}^{4}}{8}

Next Step Prepare to Evaluate

∴

I = 3.1416 \cdot \frac{{0.0137}^{4}}{8}

Next Step Evaluate

∴

I = 1.36729644014482E-08m⁴

Next Step Convert to Output's Unit

∴

I = 13672.9644014482mm⁴

LAST Step Rounding Answer

∴

I = 13672.9644mm⁴

Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm Formula Elements

Variables

Constants

Area Moment of Inertia of Arms

Area Moment of Inertia of Arms is the measure of the resistance of the arms of a part its angular acceleration about a given axis without considering its mass.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia of Arms

Minor Axis of Pulley Arm

Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Minor Axis of Pulley Arm

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Area Moment of Inertia of Arms

Go Moment of Inertia of Pulley's Arm

I = \frac{π \cdot a \cdot {b a}^{3}}{64}

Go Moment of Inertia of Pulley's Arm given Bending Stress in Arm

I = M b \cdot \frac{a}{σ b}

Other formulas in Arms of Cast Iron Pulley category

Go Torque Transmitted by Pulley

M t = P \cdot R \cdot (\frac{N pu}{2})

Go Tangential Force at End of Each Arm of Pulley given Torque Transmitted by Pulley

P = \frac{M t}{R \cdot (\frac{N pu}{2})}

Go Radius of Rim of Pulley given Torque Transmitted by Pulley

R = \frac{M t}{P \cdot (\frac{N pu}{2})}

Go Number of Arms of Pulley given Torque Transmitted by Pulley

N pu = 2 \cdot \frac{M t}{P \cdot R}

How to Evaluate Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm?

Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm evaluator uses Area Moment of Inertia of Arms = pi*Minor Axis of Pulley Arm^4/8 to evaluate the Area Moment of Inertia of Arms, The Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm formula is defined as the tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation. Area Moment of Inertia of Arms is denoted by I symbol.

How to evaluate Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm using this online evaluator? To use this online evaluator for Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm, enter Minor Axis of Pulley Arm (a) and hit the calculate button.

FAQs on Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm

What is the formula to find Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm?

The formula of Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm is expressed as Area Moment of Inertia of Arms = pi*Minor Axis of Pulley Arm^4/8. Here is an example- 1.4E+16 = pi*0.01366^4/8.

How to calculate Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm?

With Minor Axis of Pulley Arm (a) we can find Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm using the formula - Area Moment of Inertia of Arms = pi*Minor Axis of Pulley Arm^4/8. This formula also uses Archimedes' constant .

What are the other ways to Calculate Area Moment of Inertia of Arms?

Here are the different ways to Calculate Area Moment of Inertia of Arms-

Area Moment of Inertia of Arms=(pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64
Area Moment of Inertia of Arms=Bending Moment in Pulley's Arm*Minor Axis of Pulley Arm/Bending stress in pulley's arm

Can the Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm be negative?

No, the Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm?

Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section Arm can be measured.

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