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Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
major_axis = (64*Moment of Inertia/(pi*Minor axis))^(1/3)
a = (64*I/(pi*b))^(1/3)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Moment of Inertia - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis. (Measured in Kilogram Meter²)
Minor axis - Minor axis is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Moment of Inertia: 1.125 Kilogram Meter² --> 1.125 Kilogram Meter² No Conversion Required
Minor axis: 5 Centimeter --> 0.05 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (64*I/(pi*b))^(1/3) --> (64*1.125/(pi*0.05))^(1/3)
Evaluating ... ...
a = 7.7102928416282
STEP 3: Convert Result to Output's Unit
7.7102928416282 Meter -->771.02928416282 Centimeter (Check conversion here)
FINAL ANSWER
771.02928416282 Centimeter <-- Major axis
(Calculation completed in 00.018 seconds)

10+ Arms of Cast Iron Pulley Calculators

Radius of Rim When Torque Transmitted by the Pulley is Given
radius_of_rim = Torque Transmitted by the Pulley/(Tangential Force at the end of Each Arm*(Number of arms/2)) Go
Number of Arms of the Pulley When Torque Transmitted by the Pulley is Given
number_of_arms = 2*Torque Transmitted by the Pulley/(Tangential Force at the end of Each Arm*Radius of Rim) Go
Torque Transmitted by the Pulley
torque_transmitted_by_the_pulley = Tangential Force at the end of Each Arm*Radius of Rim*(Number of arms/2) Go
Tangential Force at the End of Each Arm When Torque Transmitted by the Pulley is Given
tangential_force_at_end_of_each_arm = Torque Transmitted by the Pulley/(Radius of Rim*(Number of arms/2)) Go
Radius of Rim When Bending Moment Acting on the Arm is Given
radius_of_rim = Bending moment/Tangential Force at the end of Each Arm Go
Bending Moment Acting on the arm
bending_moment = Tangential Force at the end of Each Arm*Radius of Rim Go
Tangential Force at the End of Each Arm When Bending Moment acting on the Arm is Given
tangential_force_at_end_of_each_arm = Bending moment/Radius of Rim Go
Torque Transmitted by the Pulley When Bending Moment acting on the Arm is Given
torque_transmitted_by_the_pulley = Bending moment*Number of arms/2 Go
Bending Moment acting on the Arm in terms of Torque Transmitted by the Pulley
bending_moment = 2*Torque Transmitted by the Pulley/Number of arms Go
Number of Arms When Bending Moment acting on the Arm is Given
number_of_arms = 2*Torque Transmitted by the Pulley/Bending moment Go

Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given Formula

major_axis = (64*Moment of Inertia/(pi*Minor axis))^(1/3)
a = (64*I/(pi*b))^(1/3)

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 Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given?

Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given calculator uses major_axis = (64*Moment of Inertia/(pi*Minor axis))^(1/3) to calculate the Major axis, The Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given formula is defined as the longest axis of the elliptical cross-section of the arm of the pulley which is perpendicular to the minor axis. Major axis and is denoted by a symbol.

How to calculate Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given using this online calculator? To use this online calculator for Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given, enter Moment of Inertia (I) and Minor axis (b) and hit the calculate button. Here is how the Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given calculation can be explained with given input values -> 771.0293 = (64*1.125/(pi*0.05))^(1/3).

FAQ

What is Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given?
The Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given formula is defined as the longest axis of the elliptical cross-section of the arm of the pulley which is perpendicular to the minor axis and is represented as a = (64*I/(pi*b))^(1/3) or major_axis = (64*Moment of Inertia/(pi*Minor axis))^(1/3). Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis and Minor axis is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse.
How to calculate Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given?
The Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given formula is defined as the longest axis of the elliptical cross-section of the arm of the pulley which is perpendicular to the minor axis is calculated using major_axis = (64*Moment of Inertia/(pi*Minor axis))^(1/3). To calculate Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given, you need Moment of Inertia (I) and Minor axis (b). With our tool, you need to enter the respective value for Moment of Inertia and Minor axis 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 Major axis?
In this formula, Major axis uses Moment of Inertia and Minor axis. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • torque_transmitted_by_the_pulley = Tangential Force at the end of Each Arm*Radius of Rim*(Number of arms/2)
  • tangential_force_at_end_of_each_arm = Torque Transmitted by the Pulley/(Radius of Rim*(Number of arms/2))
  • radius_of_rim = Torque Transmitted by the Pulley/(Tangential Force at the end of Each Arm*(Number of arms/2))
  • number_of_arms = 2*Torque Transmitted by the Pulley/(Tangential Force at the end of Each Arm*Radius of Rim)
  • bending_moment = Tangential Force at the end of Each Arm*Radius of Rim
  • tangential_force_at_end_of_each_arm = Bending moment/Radius of Rim
  • radius_of_rim = Bending moment/Tangential Force at the end of Each Arm
  • bending_moment = 2*Torque Transmitted by the Pulley/Number of arms
  • number_of_arms = 2*Torque Transmitted by the Pulley/Bending moment
  • torque_transmitted_by_the_pulley = Bending moment*Number of arms/2
Where is the Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given calculator used?
Among many, Major Axis of the Elliptical Cross-Section of Arm When Moment of Inertia of the Arm is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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