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Moment of Inertia of Pulley's Arm Formula

GoMoment of Inertia of Pulley's Arm given Minor Axis of Elliptical Section 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 = \frac{π \cdot a \cdot {b a}^{3}}{64}

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

Moment of Inertia of Pulley's Arm Example

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Here is how the Moment of Inertia of Pulley's Arm equation looks like with Values.

Here is how the Moment of Inertia of Pulley's Arm equation looks like with Units.

Here is how the Moment of Inertia of Pulley's Arm equation looks like.

17389.8458 = \frac{3.1416 \cdot 13.66 \cdot {29.6}^{3}}{64}

17389.8458mm⁴ = \frac{3.1416 \cdot 13.66mm \cdot {29.6mm}^{3}}{64}

17389.8458 = \frac{3.1416 \cdot 13.66 \cdot {29.6}^{3}}{64}

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Moment of Inertia of Pulley's Arm Solution

Follow our step by step solution on how to calculate Moment of Inertia of Pulley's Arm?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = \frac{π \cdot 13.66mm \cdot {29.6mm}^{3}}{64}

Next Step Substitute values of Constants

∴

I = \frac{3.1416 \cdot 13.66mm \cdot {29.6mm}^{3}}{64}

Next Step Convert Units

∴

I = \frac{3.1416 \cdot 0.0137m \cdot {0.0296m}^{3}}{64}

Next Step Prepare to Evaluate

∴

I = \frac{3.1416 \cdot 0.0137 \cdot {0.0296}^{3}}{64}

Next Step Evaluate

∴

I = 1.738984580832E-08m⁴

Next Step Convert to Output's Unit

∴

I = 17389.84580832mm⁴

LAST Step Rounding Answer

∴

I = 17389.8458mm⁴

Moment of Inertia of Pulley's 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

Major Axis of Pulley Arm

Major Axis of Pulley Arm is the length of the major or the largest axis of the elliptical cross-section of a pulley.

Symbol: b_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Major 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 given Minor Axis of Elliptical Section Arm

I = π \cdot \frac{a^{4}}{8}

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?

Moment of Inertia of Pulley's Arm evaluator uses Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64 to evaluate the Area Moment of Inertia of Arms, the Moment of Inertia of Pulley's 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 using this online evaluator? To use this online evaluator for Moment of Inertia of Pulley's Arm, enter Minor Axis of Pulley Arm (a) & Major Axis of Pulley Arm (b_a) and hit the calculate button.

FAQs on Moment of Inertia of Pulley's Arm

What is the formula to find Moment of Inertia of Pulley's Arm?

The formula of Moment of Inertia of Pulley's Arm is expressed as Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64. Here is an example- 1.7E+16 = (pi*0.01366*0.0296^3)/64.

How to calculate Moment of Inertia of Pulley's Arm?

With Minor Axis of Pulley Arm (a) & Major Axis of Pulley Arm (b_a) we can find Moment of Inertia of Pulley's Arm using the formula - Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64. 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^4/8
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 be negative?

No, the Moment of Inertia of Pulley's Arm, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Pulley's Arm?

Moment of Inertia of Pulley's 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 can be measured.

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Moment of Inertia of Pulley's Arm Formula

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

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

Moment of Inertia of Pulley's Arm Example

Moment of Inertia of Pulley's Arm Solution

Moment of Inertia of Pulley's Arm Formula Elements

Other Formulas to find Area Moment of Inertia of Arms

Other formulas in Arms of Cast Iron Pulley category

How to Evaluate Moment of Inertia of Pulley's Arm?

FAQs on Moment of Inertia of Pulley's Arm

Variable Name

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

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