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Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Formula

GoTorsion Equation for Torsion Dynamometer 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?

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Example

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Here is how the Torsion Equation for Torsion Dynamometer using Modulus of Rigidity equation looks like with Values.

Here is how the Torsion Equation for Torsion Dynamometer using Modulus of Rigidity equation looks like with Units.

Here is how the Torsion Equation for Torsion Dynamometer using Modulus of Rigidity 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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Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Solution

Follow our step by step solution on how to calculate Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

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

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity 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 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

Go Torque Transmitted if Power is known for Epicyclic-Train Dynamometer

T = \frac{60 \cdot P}{2 \cdot π \cdot N}

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 Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity evaluator uses Total Torque = (Modulus of Rigidity*Angle of Twist*Polar Moment of Inertia of Shaft)/Shaft Length to evaluate the Total Torque, Torsion Equation for Torsion Dynamometer using Modulus of Rigidity formula is defined as a measure of the twisting force that causes rotation in a shaft, providing valuable insights into the mechanical properties of materials under torsional stress. Total Torque is denoted by T symbol.

How to evaluate Torsion Equation for Torsion Dynamometer using Modulus of Rigidity using this online evaluator? To use this online evaluator for Torsion Equation for Torsion Dynamometer using Modulus of Rigidity, 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 Torsion Equation for Torsion Dynamometer using Modulus of Rigidity

What is the formula to find Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

The formula of Torsion Equation for Torsion Dynamometer using Modulus of Rigidity 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 Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

With Modulus of Rigidity (G), Angle of Twist (θ), Polar Moment of Inertia of Shaft (J) & Shaft Length (L_shaft) we can find Torsion Equation for Torsion Dynamometer using Modulus of Rigidity 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=Weight at Outer End of Lever*Distance between Weight and Center of Pulley
Total Torque=Frictional Resistance between Block and Pulley*Radius of Pulley

Can the Torsion Equation for Torsion Dynamometer using Modulus of Rigidity be negative?

Yes, the Torsion Equation for Torsion Dynamometer using Modulus of Rigidity, measured in Torque can be negative.

Which unit is used to measure Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity 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 Torsion Equation for Torsion Dynamometer using Modulus of Rigidity can be measured.

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Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Formula

​GoTorsion Equation for Torsion Dynamometer Formula

​GoTorque on Shaft of Prony Brake Dynamometer Formula

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Example

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Solution

Torsion Equation for Torsion Dynamometer using Modulus of Rigidity Formula Elements

Other Formulas to find Total Torque

Other formulas in Dynamometer category

How to Evaluate Torsion Equation for Torsion Dynamometer using Modulus of Rigidity?

FAQs on Torsion Equation for Torsion Dynamometer using Modulus of Rigidity

Variable Name

GoTorsion Equation for Torsion Dynamometer Formula

GoTorque on Shaft of Prony Brake Dynamometer Formula