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Diameter of Solid Shaft with known Polar Modulus Formula

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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. Check FAQs

d = {(\frac{16 \cdot Z p}{π})}^{\frac{1}{3}}

d - Dia of Shaft?Z_p - Polar Modulus?π - Archimedes' constant?

Diameter of Solid Shaft with known Polar Modulus Example

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Here is how the Diameter of Solid Shaft with known Polar Modulus equation looks like with Values.

Here is how the Diameter of Solid Shaft with known Polar Modulus equation looks like with Units.

Here is how the Diameter of Solid Shaft with known Polar Modulus equation looks like.

0.284 = {(\frac{16 \cdot 0.0045}{3.1416})}^{\frac{1}{3}}

0.284m = {(\frac{16 \cdot 0.0045m³}{3.1416})}^{\frac{1}{3}}

0.284 = {(\frac{16 \cdot 0.0045}{3.1416})}^{\frac{1}{3}}

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Diameter of Solid Shaft with known Polar Modulus Solution

Follow our step by step solution on how to calculate Diameter of Solid Shaft with known Polar Modulus?

FIRST Step Consider the formula

d = {(\frac{16 \cdot Z p}{π})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d = {(\frac{16 \cdot 0.0045m³}{π})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(\frac{16 \cdot 0.0045m³}{3.1416})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(\frac{16 \cdot 0.0045}{3.1416})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.284049616922998m

LAST Step Rounding Answer

∴

d = 0.284m

Diameter of Solid Shaft with known Polar Modulus Formula Elements

Variables

Constants

Dia of Shaft

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.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Dia of Shaft

Polar Modulus

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.

Symbol: Z_p

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Polar Modulus

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 in Polar Modulus category

Go Inner diameter of Hollow Shaft using Polar Modulus

d i = {(({d o}^{4}) - (\frac{Z p \cdot 16 \cdot d o}{π}))}^{\frac{1}{4}}

Go Polar Modulus

Z p = \frac{J}{R}

Go Polar Modulus of Hollow Shaft

Z p = \frac{π \cdot (({d o}^{4}) - ({d i}^{4}))}{16 \cdot d o}

Go Polar Modulus of Solid Shaft

Z p = \frac{π \cdot d^{3}}{16}

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

Diameter of Solid Shaft with known Polar Modulus evaluator uses Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3) to evaluate 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 evaluate Diameter of Solid Shaft with known Polar Modulus using this online evaluator? To use this online evaluator for Diameter of Solid Shaft with known Polar Modulus, enter Polar Modulus (Z_p) and hit the calculate button.

FAQs on Diameter of Solid Shaft with known Polar Modulus

What is the formula to find Diameter of Solid Shaft with known Polar Modulus?

The formula of Diameter of Solid Shaft with known Polar Modulus is expressed as Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3). Here is an example- 0.28405 = ((16*0.0045)/pi)^(1/3).

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

With Polar Modulus (Z_p) we can find Diameter of Solid Shaft with known Polar Modulus using the formula - Dia of Shaft = ((16*Polar Modulus)/pi)^(1/3). This formula also uses Archimedes' constant .

Can the Diameter of Solid Shaft with known Polar Modulus be negative?

Yes, the Diameter of Solid Shaft with known Polar Modulus, measured in Length can be negative.

Which unit is used to measure Diameter of Solid Shaft with known Polar Modulus?

Diameter of Solid Shaft with known Polar Modulus is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Solid Shaft with known Polar Modulus can be measured.

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