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Restoring Torque using Torsional Spring constant and Angle of Twist Formula

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Torque is a rotational force that causes an object to rotate, measured by the force applied at a distance from the axis of rotation. Check FAQs

τ = K t \cdot θ

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

Restoring Torque using Torsional Spring constant and Angle of Twist Example

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Here is how the Restoring Torque using Torsional Spring constant and Angle of Twist equation looks like with Values.

Here is how the Restoring Torque using Torsional Spring constant and Angle of Twist equation looks like with Units.

Here is how the Restoring Torque using Torsional Spring constant and Angle of Twist equation looks like.

5.9924 = 4.22 \cdot 1.42

5.9924N*m = 4.22Nm/rad \cdot 1.42rad

5.9924 = 4.22 \cdot 1.42

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Restoring Torque using Torsional Spring constant and Angle of Twist Solution

Follow our step by step solution on how to calculate Restoring Torque using Torsional Spring constant and Angle of Twist?

FIRST Step Consider the formula

τ = K t \cdot θ

Next Step Substitute values of Variables

∴

τ = 4.22Nm/rad \cdot 1.42rad

Next Step Prepare to Evaluate

∴

τ = 4.22 \cdot 1.42

LAST Step Evaluate

∴

τ = 5.9924N*m

Restoring Torque using Torsional Spring constant and Angle of Twist Formula Elements

Variables

Torque

Torque is a rotational force that causes an object to rotate, measured by the force applied at a distance from the axis of rotation.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque

Torsional spring constant

Torsional spring constant is a measure of the stiffness of a torsional spring, which determines its resistance to twisting or rotational motion.

Symbol: K_t

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value can be positive or negative.

Formulas to find Torsional spring constant

Angle of Twist

Angle of Twist is the rotation of a shaft or beam from its original position due to an external torque or twisting moment in mechanical vibrations.

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 Torsional Spring Constant given Torque and Angle of Twist

K t = \frac{τ}{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 Restoring Torque using Torsional Spring constant and Angle of Twist?

Restoring Torque using Torsional Spring constant and Angle of Twist evaluator uses Torque = Torsional spring constant*Angle of Twist to evaluate the Torque, Restoring Torque using Torsional Spring constant and Angle of Twist formula is defined as a measure of the torque required to twist a torsional spring by a certain angle, which is essential in mechanical vibrations to analyze the oscillatory motion of systems. Torque is denoted by τ symbol.

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

FAQs on Restoring Torque using Torsional Spring constant and Angle of Twist

What is the formula to find Restoring Torque using Torsional Spring constant and Angle of Twist?

The formula of Restoring Torque using Torsional Spring constant and Angle of Twist is expressed as Torque = Torsional spring constant*Angle of Twist. Here is an example- 5.9924 = 4.22*1.42.

How to calculate Restoring Torque using Torsional Spring constant and Angle of Twist?

With Torsional spring constant (K_t) & Angle of Twist (θ) we can find Restoring Torque using Torsional Spring constant and Angle of Twist using the formula - Torque = Torsional spring constant*Angle of Twist.

Can the Restoring Torque using Torsional Spring constant and Angle of Twist be negative?

No, the Restoring Torque using Torsional Spring constant and Angle of Twist, measured in Torque cannot be negative.

Which unit is used to measure Restoring Torque using Torsional Spring constant and Angle of Twist?

Restoring Torque using Torsional Spring constant and Angle of Twist 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 Restoring Torque using Torsional Spring constant and Angle of Twist can be measured.

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