FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Minor 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 Moment of Inertia of Arm Formula

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

Fx Copy

LaTeX Copy

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

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

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

With values

With units

Only example

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

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

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

13.6287 = 64 \cdot \frac{17350}{3.1416 \cdot {29.6}^{3}}

13.6287mm = 64 \cdot \frac{17350mm⁴}{3.1416 \cdot {29.6mm}^{3}}

13.6287 = 64 \cdot \frac{17350}{3.1416 \cdot {29.6}^{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = 64 \cdot \frac{17350mm⁴}{π \cdot {29.6mm}^{3}}

Next Step Substitute values of Constants

∴

a = 64 \cdot \frac{17350mm⁴}{3.1416 \cdot {29.6mm}^{3}}

Next Step Convert Units

∴

a = 64 \cdot \frac{1.7E-8m⁴}{3.1416 \cdot {0.0296m}^{3}}

Next Step Prepare to Evaluate

∴

a = 64 \cdot \frac{1.7E-8}{3.1416 \cdot {0.0296}^{3}}

Next Step Evaluate

∴

a = 0.0136287004848893m

Next Step Convert to Output's Unit

∴

a = 13.6287004848893mm

LAST Step Rounding Answer

∴

a = 13.6287mm

Minor Axis of Elliptical Cross-Section of 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

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 Minor Axis of Pulley Arm

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

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

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 Arm given Moment of Inertia of Arm?

Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm evaluator uses Minor Axis of Pulley Arm = 64*Area Moment of Inertia of Arms/(pi*Major Axis of Pulley Arm^3) to evaluate the Minor Axis of Pulley Arm, The Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm formula is defined as measurement of the shortest axis of elliptical cross-section of arm which is perpendicular to major axis. Minor Axis of Pulley Arm is denoted by a symbol.

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

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

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

The formula of Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm is expressed as Minor Axis of Pulley Arm = 64*Area Moment of Inertia of Arms/(pi*Major Axis of Pulley Arm^3). Here is an example- 13628.7 = 64*1.735E-08/(pi*0.0296^3).

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

With Area Moment of Inertia of Arms (I) & Major Axis of Pulley Arm (b_a) we can find Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm using the formula - Minor Axis of Pulley Arm = 64*Area Moment of Inertia of Arms/(pi*Major Axis of Pulley Arm^3). 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=(8*Area Moment of Inertia of Arms/pi)^(1/4)
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 Arm given Moment of Inertia of Arm be negative?

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

Minor 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 Moment of Inertia of Arm Formula

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

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

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

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

Other Formulas to find Minor Axis of Pulley Arm

Other formulas in Arms of Cast Iron Pulley category

How to Evaluate Minor Axis of Elliptical Cross-Section of Arm given Moment of Inertia of Arm?

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

Variable Name

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

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