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

GoMinor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm Formula

GoMinor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm Formula

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

a = {(8 \cdot \frac{I}{π})}^{\frac{1}{4}}

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

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

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

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

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

14.4981 = {(8 \cdot \frac{17350}{3.1416})}^{\frac{1}{4}}

14.4981mm = {(8 \cdot \frac{17350mm⁴}{3.1416})}^{\frac{1}{4}}

14.4981 = {(8 \cdot \frac{17350}{3.1416})}^{\frac{1}{4}}

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

FIRST Step Consider the formula

a = {(8 \cdot \frac{I}{π})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

a = {(8 \cdot \frac{17350mm⁴}{π})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

a = {(8 \cdot \frac{17350mm⁴}{3.1416})}^{\frac{1}{4}}

Next Step Convert Units

∴

a = {(8 \cdot \frac{1.7E-8m⁴}{3.1416})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

a = {(8 \cdot \frac{1.7E-8}{3.1416})}^{\frac{1}{4}}

Next Step Evaluate

∴

a = 0.0144980601874509m

Next Step Convert to Output's Unit

∴

a = 14.4980601874509mm

LAST Step Rounding Answer

∴

a = 14.4981mm

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

Variables

Constants

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

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

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 Minor Axis of Pulley Arm

Go Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm

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

Go Minor Axis of Elliptical Cross-Section of Pulley's Arm given Bending Stress in Arm

a = 1.72 \cdot ({(\frac{M b}{2 \cdot σ b})}^{\frac{1}{3}})

Go Minor Axis of Elliptical Cross-Section of Pulley's Arm given Torque and Bending Stress

a = {(16 \cdot \frac{M t}{π \cdot N pu \cdot σ b})}^{\frac{1}{3}}

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

Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm evaluator uses Minor Axis of Pulley Arm = (8*Area Moment of Inertia of Arms/pi)^(1/4) to evaluate the Minor Axis of Pulley Arm, The Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm formula is defined as the calculation of the shortest axis of the elliptical cross-section of the arm of the pulley which is perpendicular to the major axis. Minor Axis of Pulley Arm is denoted by a symbol.

How to evaluate Minor 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 Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm, enter Area Moment of Inertia of Arms (I) and hit the calculate button.

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

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

The formula of Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm is expressed as Minor Axis of Pulley Arm = (8*Area Moment of Inertia of Arms/pi)^(1/4). Here is an example- 14498.06 = (8*1.735E-08/pi)^(1/4).

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

With Area Moment of Inertia of Arms (I) we can find Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm using the formula - Minor Axis of Pulley Arm = (8*Area Moment of Inertia of Arms/pi)^(1/4). This formula also uses Archimedes' constant .

What are the other ways to Calculate Minor Axis of Pulley Arm?

Here are the different ways to Calculate Minor Axis of Pulley Arm-

Minor Axis of Pulley Arm=64*Area Moment of Inertia of Arms/(pi*Major Axis of Pulley Arm^3)
Minor Axis of Pulley Arm=1.72*((Bending Moment in Pulley's Arm/(2*Bending stress in pulley's arm))^(1/3))
Minor Axis of Pulley Arm=(16*Torque Transmitted by Pulley/(pi*Number of Arms in Pulley*Bending stress in pulley's arm))^(1/3)

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

No, the Minor 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 Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm?

Minor 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 Minor Axis of Elliptical Cross-Section of Pulley's Arm given Moment of Inertia of Arm can be measured.

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