Diameter of Solid Shaft with known Polar Modulus Calculator

✖The Polar Modulus of the shaft section is equal to the ratio of the polar moment of inertia to the radius of the shaft. It is denoted by Zp.ⓘ Polar Modulus [Z_p]

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✖The Dia 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 Solid Shaft with known Polar Modulus [d]

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Diameter of Solid Shaft with known Polar Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3)
d = ((16*Z_p)/pi)^(1/3)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Dia of Shaft - (Measured in Meter) - The Dia 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 Modulus - (Measured in Cubic Meter) - The Polar Modulus of the shaft section is equal to the ratio of the polar moment of inertia to the radius of the shaft. It is denoted by Zp.

STEP 1: Convert Input(s) to Base Unit

Polar Modulus: 0.0045 Cubic Meter --> 0.0045 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((16*Z_p)/pi)^(1/3) --> ((16*0.0045)/pi)^(1/3)

Evaluating ... ...

d = 0.284049616922998

STEP 3: Convert Result to Output's Unit

0.284049616922998 Meter --> No Conversion Required

FINAL ANSWER

0.284049616922998 ≈ 0.28405 Meter <-- Dia of Shaft

(Calculation completed in 00.021 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Polar Modulus Calculators

Polar Moment of Inertia using Polar Modulus

LaTeX Go Polar Moment of Inertia = Radius of Shaft*Polar Modulus

Radius of Shaft using Polar Modulus

LaTeX Go Radius of Shaft = Polar Moment of Inertia/Polar Modulus

Polar Modulus

LaTeX Go Polar Modulus = Polar Moment of Inertia/Radius of Shaft

Polar Moment of Inertia of Solid Shaft

LaTeX Go Polar Moment of Inertia = (pi*Dia of Shaft^4)/32

< Polar Modulus Calculators

Inner diameter of Hollow Shaft using Polar Modulus

LaTeX Go Inner Dia of Shaft = ((Outer Diameter of Shaft^4)-((Polar Modulus*16*Outer Diameter of Shaft)/pi))^(1/4)

Polar Modulus of Hollow Shaft

LaTeX Go Polar Modulus = (pi*((Outer Diameter of Shaft^4)-(Inner Dia of Shaft^4)))/(16*Outer Diameter of Shaft)

Polar Modulus

LaTeX Go Polar Modulus = Polar Moment of Inertia/Radius of Shaft

Diameter of Solid Shaft with known Polar Modulus

LaTeX Go Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3)

Diameter of Solid Shaft with known Polar Modulus Formula

LaTeX Go

Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3)
d = ((16*Z_p)/pi)^(1/3)

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 Solid Shaft with known Polar Modulus?

Diameter of Solid Shaft with known Polar Modulus calculator uses Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3) to calculate the Dia of Shaft, The Diameter of Solid Shaft with known Polar Modulus formula is defined as a chord that runs through the center point of the circle. Dia of Shaft is denoted by d symbol.

How to calculate Diameter of Solid Shaft with known Polar Modulus using this online calculator? To use this online calculator for Diameter of Solid Shaft with known Polar Modulus, enter Polar Modulus (Z_p) and hit the calculate button. Here is how the Diameter of Solid Shaft with known Polar Modulus calculation can be explained with given input values -> 0.28405 = ((16*0.0045)/pi)^(1/3).

FAQ

What is Diameter of Solid Shaft with known Polar Modulus?

The Diameter of Solid Shaft with known Polar Modulus formula is defined as a chord that runs through the center point of the circle and is represented as d = ((16*Z_p)/pi)^(1/3) or Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3). The Polar Modulus of the shaft section is equal to the ratio of the polar moment of inertia to the radius of the shaft. It is denoted by Zp.

How to calculate Diameter of Solid Shaft with known Polar Modulus?

The Diameter of Solid Shaft with known Polar Modulus formula is defined as a chord that runs through the center point of the circle is calculated using Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3). To calculate Diameter of Solid Shaft with known Polar Modulus, you need Polar Modulus (Z_p). With our tool, you need to enter the respective value for Polar Modulus 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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