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Torsional Spring Constant given Torque and Angle of Twist Formula

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Torsional spring constant, If the disc is displaced by some angle from its equilibrium position, the shaft provides a restoring torque of some magnitude. Thus the shaft acts as a torsional spring. Check FAQs

K t = \frac{τ}{θ}

K_t - Torsional spring constant?τ - Torque?θ - Angle of Twist?

Torsional Spring Constant given Torque and Angle of Twist Example

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Here is how the Torsional Spring Constant given Torque and Angle of Twist equation looks like with Values.

Here is how the Torsional Spring Constant given Torque and Angle of Twist equation looks like with Units.

Here is how the Torsional Spring Constant given Torque and Angle of Twist equation looks like.

4 = \frac{5.68}{1.42}

4Nm/rad = \frac{5.68N*m}{1.42rad}

4 = \frac{5.68}{1.42}

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Torsional Spring Constant given Torque and Angle of Twist Solution

Follow our step by step solution on how to calculate Torsional Spring Constant given Torque and Angle of Twist?

FIRST Step Consider the formula

K t = \frac{τ}{θ}

Next Step Substitute values of Variables

∴

K t = \frac{5.68N*m}{1.42rad}

Next Step Prepare to Evaluate

∴

K t = \frac{5.68}{1.42}

LAST Step Evaluate

∴

K t = 4Nm/rad

Torsional Spring Constant given Torque and Angle of Twist Formula Elements

Variables

Torsional spring constant

Torsional spring constant, If the disc is displaced by some angle from its equilibrium position, the shaft provides a restoring torque of some magnitude. Thus the shaft acts as a torsional spring.

Symbol: K_t

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value can be positive or negative.

Formulas to find Torsional spring constant

Torque

Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque

Angle of Twist

Angle of twist is the angle through which the fixed end of a shaft rotates with respect to the free end.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Twist

Other formulas in Free Vibration of Single DOF Undamped Torsional System category

Go Restoring Torque using Torsional Spring constant and Angle of Twist

τ = K t \cdot θ

Go Amount of Amplitude of Motion Reduced in Each Successive Cycle in Coulomb Damping

A = \frac{4 \cdot μ friction \cdot Fn}{k 1}

How to Evaluate Torsional Spring Constant given Torque and Angle of Twist?

Torsional Spring Constant given Torque and Angle of Twist evaluator uses Torsional spring constant = Torque/Angle of Twist to evaluate the Torsional spring constant, The Torsional spring constant given torque and angle of twist formula is defined as the ratio of torque and angle of twist. Torsional spring constant is denoted by K_t symbol.

How to evaluate Torsional Spring Constant given Torque and Angle of Twist using this online evaluator? To use this online evaluator for Torsional Spring Constant given Torque and Angle of Twist, enter Torque (τ) & Angle of Twist (θ) and hit the calculate button.

FAQs on Torsional Spring Constant given Torque and Angle of Twist

What is the formula to find Torsional Spring Constant given Torque and Angle of Twist?

The formula of Torsional Spring Constant given Torque and Angle of Twist is expressed as Torsional spring constant = Torque/Angle of Twist. Here is an example- 4 = 5.68/1.42.

How to calculate Torsional Spring Constant given Torque and Angle of Twist?

With Torque (τ) & Angle of Twist (θ) we can find Torsional Spring Constant given Torque and Angle of Twist using the formula - Torsional spring constant = Torque/Angle of Twist.

Can the Torsional Spring Constant given Torque and Angle of Twist be negative?

Yes, the Torsional Spring Constant given Torque and Angle of Twist, measured in Torsion Constant can be negative.

Which unit is used to measure Torsional Spring Constant given Torque and Angle of Twist?

Torsional Spring Constant given Torque and Angle of Twist is usually measured using the Newton Meter per Radian[Nm/rad] for Torsion Constant. Newton Centimeter per Radian[Nm/rad] are the few other units in which Torsional Spring Constant given Torque and Angle of Twist can be measured.

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