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Constant for Particular Shaft for Torsion Dynamometer Formula

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Constant for a Particular Shaft is a value that represents the dynamometer's shaft constant, used to measure the torque and rotational speed of a shaft. Check FAQs

k = \frac{G \cdot J}{L shaft}

k - Constant for a Particular Shaft?G - Modulus of Rigidity?J - Polar Moment of Inertia of Shaft?L_shaft - Shaft Length?

Constant for Particular Shaft for Torsion Dynamometer Example

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Here is how the Constant for Particular Shaft for Torsion Dynamometer equation looks like with Values.

Here is how the Constant for Particular Shaft for Torsion Dynamometer equation looks like with Units.

Here is how the Constant for Particular Shaft for Torsion Dynamometer equation looks like.

8.5714 = \frac{40 \cdot 0.09}{0.42}

8.5714 = \frac{40N/m² \cdot 0.09m⁴}{0.42m}

8.5714 = \frac{40 \cdot 0.09}{0.42}

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Constant for Particular Shaft for Torsion Dynamometer Solution

Follow our step by step solution on how to calculate Constant for Particular Shaft for Torsion Dynamometer?

FIRST Step Consider the formula

k = \frac{G \cdot J}{L shaft}

Next Step Substitute values of Variables

∴

k = \frac{40N/m² \cdot 0.09m⁴}{0.42m}

Next Step Convert Units

∴

k = \frac{40Pa \cdot 0.09m⁴}{0.42m}

Next Step Prepare to Evaluate

∴

k = \frac{40 \cdot 0.09}{0.42}

Next Step Evaluate

∴

k = 8.57142857142857

LAST Step Rounding Answer

∴

k = 8.5714

Constant for Particular Shaft for Torsion Dynamometer Formula Elements

Variables

Constant for a Particular Shaft

Constant for a Particular Shaft is a value that represents the dynamometer's shaft constant, used to measure the torque and rotational speed of a shaft.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant for a Particular Shaft

Modulus of Rigidity

Modulus of Rigidity is the measure of the stiffness of a material, determining the amount of stress required to produce a unit deformation.

Symbol: G

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Polar Moment of Inertia of Shaft

Polar Moment of Inertia of Shaft is a measure of an object's resistance to changes in its rotation, important in dynamometer applications.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia of Shaft

Shaft Length

Shaft Length is the distance from the dynamometer's rotating shaft to the point of measurement, typically used to calculate torque and power output.

Symbol: L_shaft

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Shaft Length

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How to Evaluate Constant for Particular Shaft for Torsion Dynamometer?

Constant for Particular Shaft for Torsion Dynamometer evaluator uses Constant for a Particular Shaft = (Modulus of Rigidity*Polar Moment of Inertia of Shaft)/Shaft Length to evaluate the Constant for a Particular Shaft, Constant for Particular Shaft for Torsion Dynamometer formula is defined as a measure of the shaft's stiffness in torsion, which is essential in determining the torque and angular displacement of a rotating shaft in a dynamometer, providing valuable insights into the shaft's mechanical properties and behavior under various loads. Constant for a Particular Shaft is denoted by k symbol.

How to evaluate Constant for Particular Shaft for Torsion Dynamometer using this online evaluator? To use this online evaluator for Constant for Particular Shaft for Torsion Dynamometer, enter Modulus of Rigidity (G), Polar Moment of Inertia of Shaft (J) & Shaft Length (L_shaft) and hit the calculate button.

FAQs on Constant for Particular Shaft for Torsion Dynamometer

What is the formula to find Constant for Particular Shaft for Torsion Dynamometer?

The formula of Constant for Particular Shaft for Torsion Dynamometer is expressed as Constant for a Particular Shaft = (Modulus of Rigidity*Polar Moment of Inertia of Shaft)/Shaft Length. Here is an example- 8.571429 = (40*0.09)/0.42.

How to calculate Constant for Particular Shaft for Torsion Dynamometer?

With Modulus of Rigidity (G), Polar Moment of Inertia of Shaft (J) & Shaft Length (L_shaft) we can find Constant for Particular Shaft for Torsion Dynamometer using the formula - Constant for a Particular Shaft = (Modulus of Rigidity*Polar Moment of Inertia of Shaft)/Shaft Length.

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Constant for Particular Shaft for Torsion Dynamometer Formula

Constant for Particular Shaft for Torsion Dynamometer Example

Constant for Particular Shaft for Torsion Dynamometer Solution

Constant for Particular Shaft for Torsion Dynamometer Formula Elements

Other formulas in Dynamometer category

How to Evaluate Constant for Particular Shaft for Torsion Dynamometer?

FAQs on Constant for Particular Shaft for Torsion Dynamometer

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