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Torque Acting on Shaft for Torsion Dynamometer Formula

GoTorsion Equation for Torsion Dynamometer Formula

GoTorsion Equation for Torsion Dynamometer using Modulus of Rigidity Formula

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Total Torque is the rotational force that causes an object to rotate, measured by a dynamometer, typically in units of newton-meters or foot-pounds. Check FAQs

T = \frac{G \cdot θ \cdot J}{L shaft}

T - Total Torque?G - Modulus of Rigidity?θ - Angle of Twist?J - Polar Moment of Inertia of Shaft?L_shaft - Shaft Length?

Torque Acting on Shaft for Torsion Dynamometer Example

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Here is how the Torque Acting on Shaft for Torsion Dynamometer equation looks like with Values.

Here is how the Torque Acting on Shaft for Torsion Dynamometer equation looks like with Units.

Here is how the Torque Acting on Shaft for Torsion Dynamometer equation looks like.

13.0029 = \frac{40 \cdot 1.517 \cdot 0.09}{0.42}

13.0029N*m = \frac{40N/m² \cdot 1.517rad \cdot 0.09m⁴}{0.42m}

13.0029 = \frac{40 \cdot 1.517 \cdot 0.09}{0.42}

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Torque Acting on Shaft for Torsion Dynamometer Solution

Follow our step by step solution on how to calculate Torque Acting on Shaft for Torsion Dynamometer?

FIRST Step Consider the formula

T = \frac{G \cdot θ \cdot J}{L shaft}

Next Step Substitute values of Variables

∴

T = \frac{40N/m² \cdot 1.517rad \cdot 0.09m⁴}{0.42m}

Next Step Convert Units

∴

T = \frac{40Pa \cdot 1.517rad \cdot 0.09m⁴}{0.42m}

Next Step Prepare to Evaluate

∴

T = \frac{40 \cdot 1.517 \cdot 0.09}{0.42}

Next Step Evaluate

∴

T = 13.0028571428571N*m

LAST Step Rounding Answer

∴

T = 13.0029N*m

Torque Acting on Shaft for Torsion Dynamometer Formula Elements

Variables

Total Torque

Total Torque is the rotational force that causes an object to rotate, measured by a dynamometer, typically in units of newton-meters or foot-pounds.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Total Torque

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

Angle of Twist

Angle of Twist is the rotational deformation of a shaft measured by a dynamometer, which is used to calculate the torque or rotational force.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Twist

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

Other Formulas to find Total Torque

Go Torsion Equation for Torsion Dynamometer

T = k \cdot θ

Go Torsion Equation for Torsion Dynamometer using Modulus of Rigidity

T = \frac{G \cdot θ \cdot J}{L shaft}

Go Torque on Shaft of Prony Brake Dynamometer

T = W end \cdot L horizontal

Go Torque on Shaft of Prony Brake Dynamometer using Radius of Pulley

T = F \cdot R

Other formulas in Dynamometer category

Go Constant for Particular Shaft for Torsion Dynamometer

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

Go Distance Moved in One Revolution by Rope Brake Dynamometer

d = π \cdot (D wheel + d rope)

Go Load on Brake for Rope Brake Dynamometer

W = W dead - S

Go Tangential Effort for Epicyclic-Train Dynamometer

P t = \frac{W end \cdot L horizontal}{2 \cdot a gear}

How to Evaluate Torque Acting on Shaft for Torsion Dynamometer?

Torque Acting on Shaft for Torsion Dynamometer evaluator uses Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length to evaluate the Total Torque, Torque Acting on Shaft for Torsion Dynamometer formula is defined as a measure of the rotational force that causes the shaft to twist, which is essential in determining the mechanical properties of a material under torsional loading. Total Torque is denoted by T symbol.

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

FAQs on Torque Acting on Shaft for Torsion Dynamometer

What is the formula to find Torque Acting on Shaft for Torsion Dynamometer?

The formula of Torque Acting on Shaft for Torsion Dynamometer is expressed as Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length. Here is an example- 12.17143 = (40*1.517*0.09)/0.42.

How to calculate Torque Acting on Shaft for Torsion Dynamometer?

With Modulus of Rigidity (G), Angle of Twist (θ), Polar Moment of Inertia of Shaft (J) & Shaft Length (L_shaft) we can find Torque Acting on Shaft for Torsion Dynamometer using the formula - Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length.

What are the other ways to Calculate Total Torque?

Here are the different ways to Calculate Total Torque-

Total Torque=Constant for a Particular Shaft*Angle of Twist
Total Torque=(Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length
Total Torque=Weight at Outer End of Lever*Distance between Weight and Center of Pulley

Can the Torque Acting on Shaft for Torsion Dynamometer be negative?

Yes, the Torque Acting on Shaft for Torsion Dynamometer, measured in Torque can be negative.

Which unit is used to measure Torque Acting on Shaft for Torsion Dynamometer?

Torque Acting on Shaft for Torsion Dynamometer is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Torque Acting on Shaft for Torsion Dynamometer can be measured.

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Torque Acting on Shaft for Torsion Dynamometer Formula

​GoTorsion Equation for Torsion Dynamometer Formula

​GoTorsion Equation for Torsion Dynamometer using Modulus of Rigidity Formula

Torque Acting on Shaft for Torsion Dynamometer Example

Torque Acting on Shaft for Torsion Dynamometer Solution

Torque Acting on Shaft for Torsion Dynamometer Formula Elements

Other Formulas to find Total Torque

Other formulas in Dynamometer category

How to Evaluate Torque Acting on Shaft for Torsion Dynamometer?

FAQs on Torque Acting on Shaft for Torsion Dynamometer

Variable Name

GoTorsion Equation for Torsion Dynamometer Formula

GoTorsion Equation for Torsion Dynamometer using Modulus of Rigidity Formula