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Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Formula

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

b a = {(64 \cdot \frac{I}{π \cdot a})}^{\frac{1}{3}}

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

Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Example

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

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

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

29.5774 = {(64 \cdot \frac{17350}{3.1416 \cdot 13.66})}^{\frac{1}{3}}

29.5774mm = {(64 \cdot \frac{17350mm⁴}{3.1416 \cdot 13.66mm})}^{\frac{1}{3}}

29.5774 = {(64 \cdot \frac{17350}{3.1416 \cdot 13.66})}^{\frac{1}{3}}

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Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Solution

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

FIRST Step Consider the formula

b a = {(64 \cdot \frac{I}{π \cdot a})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

b a = {(64 \cdot \frac{17350mm⁴}{π \cdot 13.66mm})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

b a = {(64 \cdot \frac{17350mm⁴}{3.1416 \cdot 13.66mm})}^{\frac{1}{3}}

Next Step Convert Units

∴

b a = {(64 \cdot \frac{1.7E-8m⁴}{3.1416 \cdot 0.0137m})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

b a = {(64 \cdot \frac{1.7E-8}{3.1416 \cdot 0.0137})}^{\frac{1}{3}}

Next Step Evaluate

∴

b a = 0.0295773749594664m

Next Step Convert to Output's Unit

∴

b a = 29.5773749594664mm

LAST Step Rounding Answer

∴

b a = 29.5774mm

Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Formula Elements

Variables

Constants

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

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 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 Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm?

Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm evaluator uses Major Axis of Pulley Arm = (64*Area Moment of Inertia of Arms/(pi*Minor Axis of Pulley Arm))^(1/3) to evaluate the Major Axis of Pulley Arm, Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm formula is defined as a method to determine the dimensions of a pulley arm's elliptical cross-section, which influences its mechanical performance and stability in belt drive systems. Major Axis of Pulley Arm is denoted by b_a symbol.

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

FAQs on Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm

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

The formula of Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm is expressed as Major Axis of Pulley Arm = (64*Area Moment of Inertia of Arms/(pi*Minor Axis of Pulley Arm))^(1/3). Here is an example- 29577.37 = (64*1.735E-08/(pi*0.01366))^(1/3).

How to calculate Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm?

With Area Moment of Inertia of Arms (I) & Minor Axis of Pulley Arm (a) we can find Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm using the formula - Major Axis of Pulley Arm = (64*Area Moment of Inertia of Arms/(pi*Minor Axis of Pulley Arm))^(1/3). This formula also uses Archimedes' constant .

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

No, the Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm, measured in Length cannot be negative.

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

Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm can be measured.

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Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Formula

Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Example

Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Solution

Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm Formula Elements

Other formulas in Arms of Cast Iron Pulley category

How to Evaluate Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm?

FAQs on Major Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm

Variable Name