Moment of Inertia of Pulley's Arm Calculator

✖Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.ⓘ Minor Axis of Pulley Arm [a]			+10% -10%
✖Major Axis of Pulley Arm is the length of the major or the largest axis of the elliptical cross-section of a pulley.ⓘ Major Axis of Pulley Arm [b_a]			+10% -10%

✖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.ⓘ Moment of Inertia of Pulley's Arm [I]

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Moment of Inertia of Pulley's Arm Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64
I = (pi*a*b_a^3)/64
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area Moment of Inertia of Arms - (Measured in Meter⁴) - 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.
Minor Axis of Pulley Arm - (Measured in Meter) - Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley.
Major Axis of Pulley Arm - (Measured in Meter) - Major Axis of Pulley Arm is the length of the major or the largest axis of the elliptical cross-section of a pulley.

STEP 1: Convert Input(s) to Base Unit

Minor Axis of Pulley Arm: 13.66 Millimeter --> 0.01366 Meter (Check conversion here)
Major Axis of Pulley Arm: 29.6 Millimeter --> 0.0296 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (pi*a*b_a^3)/64 --> (pi*0.01366*0.0296^3)/64

Evaluating ... ...

I = 1.738984580832E-08

STEP 3: Convert Result to Output's Unit

1.738984580832E-08 Meter⁴ -->17389.84580832 Millimeter⁴ (Check conversion here)

FINAL ANSWER

17389.84580832 ≈ 17389.85 Millimeter⁴ <-- Area Moment of Inertia of Arms

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Arms of Cast Iron Pulley Calculators

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

LaTeX Go Tangential Force at End of Each Pulley Arm = Torque Transmitted by Pulley/(Radius of Rim of Pulley*(Number of Arms in Pulley/2))

Radius of Rim of Pulley given Torque Transmitted by Pulley

LaTeX Go Radius of Rim of Pulley = Torque Transmitted by Pulley/(Tangential Force at End of Each Pulley Arm*(Number of Arms in Pulley/2))

Number of Arms of Pulley given Torque Transmitted by Pulley

LaTeX Go Number of Arms in Pulley = 2*Torque Transmitted by Pulley/(Tangential Force at End of Each Pulley Arm*Radius of Rim of Pulley)

Torque Transmitted by Pulley

LaTeX Go Torque Transmitted by Pulley = Tangential Force at End of Each Pulley Arm*Radius of Rim of Pulley*(Number of Arms in Pulley/2)

Moment of Inertia of Pulley's Arm Formula

Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64
I = (pi*a*b_a^3)/64

Define Moment of Inertia?

The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration.

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

Moment of Inertia of Pulley's Arm calculator uses Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64 to calculate the Area Moment of Inertia of Arms, 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 calculate Moment of Inertia of Pulley's Arm using this online calculator? To use this online calculator 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. Here is how the Moment of Inertia of Pulley's Arm calculation can be explained with given input values -> 1.7E+16 = (pi*0.01366*0.0296^3)/64.

FAQ

What is Moment of Inertia of Pulley's Arm?

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 and is represented as I = (pi*a*b_a^3)/64 or Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64. Minor Axis of Pulley Arm is the length of the minor or the smallest axis of the elliptical cross-section of a pulley & Major Axis of Pulley Arm is the length of the major or the largest axis of the elliptical cross-section of a pulley.

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

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 is calculated using Area Moment of Inertia of Arms = (pi*Minor Axis of Pulley Arm*Major Axis of Pulley Arm^3)/64. To calculate Moment of Inertia of Pulley's Arm, you need Minor Axis of Pulley Arm (a) & Major Axis of Pulley Arm (b_a). With our tool, you need to enter the respective value for Minor Axis of Pulley Arm & Major Axis of Pulley Arm and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area Moment of Inertia of Arms?

In this formula, Area Moment of Inertia of Arms uses Minor Axis of Pulley Arm & Major Axis of Pulley Arm. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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