Diameter of shaft given polar moment of inertia of shaft Calculator

✖Polar Moment of Inertia of shaft is the measure of object resistance to torsion.ⓘ Polar Moment of Inertia of shaft [J_shaft]

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✖The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.ⓘ Diameter of shaft given polar moment of inertia of shaft [d_s]

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Diameter of shaft given polar moment of inertia of shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Shaft = ((32*Polar Moment of Inertia of shaft)/pi)^(1/4)
d_s = ((32*J_shaft)/pi)^(1/4)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
Polar Moment of Inertia of shaft - (Measured in Meter⁴) - Polar Moment of Inertia of shaft is the measure of object resistance to torsion.

STEP 1: Convert Input(s) to Base Unit

Polar Moment of Inertia of shaft: 10 Meter⁴ --> 10 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = ((32*J_shaft)/pi)^(1/4) --> ((32*10)/pi)^(1/4)

Evaluating ... ...

d_s = 3.17687426381351

STEP 3: Convert Result to Output's Unit

3.17687426381351 Meter -->3176.87426381351 Millimeter (Check conversion here)

FINAL ANSWER

3176.87426381351 ≈ 3176.874 Millimeter <-- Diameter of Shaft

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Expression for Torque in terms of Polar Moment of Inertia » Diameter of shaft given polar moment of inertia of shaft

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National Institute Of Technology (NIT), Hamirpur

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< Expression for Torque in terms of Polar Moment of Inertia Calculators

Modulus of Rigidity of Shaft given Torque Transmitted and Polar Moment of Inertia

LaTeX Go Modulus of Rigidity = (Torque Exerted on Wheel*Length of Shaft)/(Angle of twist*Polar Moment of Inertia of shaft)

Polar Moment of Inertia of Shaft given Torque Transmitted and Modulus of Rigidity

LaTeX Go Polar Moment of Inertia of shaft = (Torque Exerted on Wheel*Length of Shaft)/(Modulus of Rigidity*Angle of twist)

Angle of Twist for Shaft given Polar Moment of Inertia and Modulus of Rigidity

LaTeX Go Angle of twist = (Torque Exerted on Wheel*Length of Shaft)/(Modulus of Rigidity*Polar Moment of Inertia of shaft)

Length of Shaft given Polar Moment of Inertia and Modulus of Rigidity

LaTeX Go Length of Shaft = (Modulus of Rigidity*Angle of twist*Polar Moment of Inertia of shaft)/Torque Exerted on Wheel

Diameter of shaft given polar moment of inertia of shaft Formula

LaTeX Go

Diameter of Shaft = ((32*Polar Moment of Inertia of shaft)/pi)^(1/4)
d_s = ((32*J_shaft)/pi)^(1/4)

What is difference between moment of inertia and polar moment of inertia?

The main difference between the moment of inertia and the polar moment of inertia is that the moment of inertia measures how an object resists angular acceleration, whereas the polar moment of inertia measures how an object resists torsion.

How to Calculate Diameter of shaft given polar moment of inertia of shaft?

Diameter of shaft given polar moment of inertia of shaft calculator uses Diameter of Shaft = ((32*Polar Moment of Inertia of shaft)/pi)^(1/4) to calculate the Diameter of Shaft, Diameter of shaft given polar moment of inertia of shaft is defined as a chord that runs through the center point of the circle. Diameter of Shaft is denoted by d_s symbol.

How to calculate Diameter of shaft given polar moment of inertia of shaft using this online calculator? To use this online calculator for Diameter of shaft given polar moment of inertia of shaft, enter Polar Moment of Inertia of shaft (J_shaft) and hit the calculate button. Here is how the Diameter of shaft given polar moment of inertia of shaft calculation can be explained with given input values -> 3.2E+6 = ((32*10)/pi)^(1/4).

FAQ

What is Diameter of shaft given polar moment of inertia of shaft?

Diameter of shaft given polar moment of inertia of shaft is defined as a chord that runs through the center point of the circle and is represented as d_s = ((32*J_shaft)/pi)^(1/4) or Diameter of Shaft = ((32*Polar Moment of Inertia of shaft)/pi)^(1/4). Polar Moment of Inertia of shaft is the measure of object resistance to torsion.

How to calculate Diameter of shaft given polar moment of inertia of shaft?

Diameter of shaft given polar moment of inertia of shaft is defined as a chord that runs through the center point of the circle is calculated using Diameter of Shaft = ((32*Polar Moment of Inertia of shaft)/pi)^(1/4). To calculate Diameter of shaft given polar moment of inertia of shaft, you need Polar Moment of Inertia of shaft (J_shaft). With our tool, you need to enter the respective value for Polar Moment of Inertia of shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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