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Stiffness of Spring using Force Transmitted Formula

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Stiffness of Spring is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched. Check FAQs

k = \sqrt{{(\frac{F T}{K})}^{2} - {(c \cdot ω)}^{2}}

k - Stiffness of Spring?F_T - Force Transmitted?K - Maximum Displacement?c - Damping Coefficient?ω - Angular Velocity?

Stiffness of Spring using Force Transmitted Example

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Here is how the Stiffness of Spring using Force Transmitted equation looks like with Values.

Here is how the Stiffness of Spring using Force Transmitted equation looks like with Units.

Here is how the Stiffness of Spring using Force Transmitted equation looks like.

60000 = \sqrt{{(\frac{48021.6}{0.8})}^{2} - {(9000.022 \cdot 0.2)}^{2}}

60000N/m = \sqrt{{(\frac{48021.6N}{0.8m})}^{2} - {(9000.022Ns/m \cdot 0.2rad/s)}^{2}}

60000 = \sqrt{{(\frac{48021.6}{0.8})}^{2} - {(9000.022 \cdot 0.2)}^{2}}

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Stiffness of Spring using Force Transmitted Solution

Follow our step by step solution on how to calculate Stiffness of Spring using Force Transmitted?

FIRST Step Consider the formula

k = \sqrt{{(\frac{F T}{K})}^{2} - {(c \cdot ω)}^{2}}

Next Step Substitute values of Variables

∴

k = \sqrt{{(\frac{48021.6N}{0.8m})}^{2} - {(9000.022Ns/m \cdot 0.2rad/s)}^{2}}

Next Step Prepare to Evaluate

∴

k = \sqrt{{(\frac{48021.6}{0.8})}^{2} - {(9000.022 \cdot 0.2)}^{2}}

Next Step Evaluate

∴

k = 60000.0000026441N/m

LAST Step Rounding Answer

∴

k = 60000N/m

Stiffness of Spring using Force Transmitted Formula Elements

Variables

Functions

Stiffness of Spring

Stiffness of Spring is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Force Transmitted

Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability.

Symbol: F_T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Transmitted

Maximum Displacement

Maximum Displacement is the greatest distance from the mean position that an oscillating object reaches in a mechanical vibrating system.

Symbol: K

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Displacement

Damping Coefficient

Damping Coefficient is a measure of the rate at which the amplitude of oscillations decreases in a mechanical system due to energy loss.

Symbol: c

Measurement: Damping CoefficientUnit: Ns/m

Note: Value should be greater than 0.

Formulas to find Damping Coefficient

Angular Velocity

Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Vibration Isolation and Transmissibility category

Go Angular Velocity of Vibration using Force Transmitted

ω = \frac{\sqrt{{(\frac{F T}{K})}^{2} - k^{2}}}{c}

Go Applied Force given Transmissibility Ratio and Maximum Displacement of Vibration

F a = \frac{K \cdot \sqrt{k^{2} + {(c \cdot ω)}^{2}}}{ε}

Go Applied Force given Transmissibility Ratio

F a = \frac{F T}{ε}

Go Damping Coefficient using Force Transmitted

c = \frac{\sqrt{{(\frac{F T}{K})}^{2} - k^{2}}}{ω}

How to Evaluate Stiffness of Spring using Force Transmitted?

Stiffness of Spring using Force Transmitted evaluator uses Stiffness of Spring = sqrt((Force Transmitted/Maximum Displacement)^2-(Damping Coefficient*Angular Velocity)^2) to evaluate the Stiffness of Spring, Stiffness of Spring using Force Transmitted formula is defined as a measure of the spring's ability to resist deformation when a force is applied, providing insight into the spring's mechanical properties and behavior under various loading conditions in mechanical vibrations. Stiffness of Spring is denoted by k symbol.

How to evaluate Stiffness of Spring using Force Transmitted using this online evaluator? To use this online evaluator for Stiffness of Spring using Force Transmitted, enter Force Transmitted (F_T), Maximum Displacement (K), Damping Coefficient (c) & Angular Velocity (ω) and hit the calculate button.

FAQs on Stiffness of Spring using Force Transmitted

What is the formula to find Stiffness of Spring using Force Transmitted?

The formula of Stiffness of Spring using Force Transmitted is expressed as Stiffness of Spring = sqrt((Force Transmitted/Maximum Displacement)^2-(Damping Coefficient*Angular Velocity)^2). Here is an example- 60000 = sqrt((48021.6/0.8)^2-(9000.022*0.200022)^2).

How to calculate Stiffness of Spring using Force Transmitted?

With Force Transmitted (F_T), Maximum Displacement (K), Damping Coefficient (c) & Angular Velocity (ω) we can find Stiffness of Spring using Force Transmitted using the formula - Stiffness of Spring = sqrt((Force Transmitted/Maximum Displacement)^2-(Damping Coefficient*Angular Velocity)^2). This formula also uses Square Root (sqrt) function(s).

Can the Stiffness of Spring using Force Transmitted be negative?

No, the Stiffness of Spring using Force Transmitted, measured in Surface Tension cannot be negative.

Which unit is used to measure Stiffness of Spring using Force Transmitted?

Stiffness of Spring using Force Transmitted is usually measured using the Newton per Meter[N/m] for Surface Tension. Millinewton per Meter[N/m], Gram-Force per Centimeter[N/m], Dyne per Centimeter[N/m] are the few other units in which Stiffness of Spring using Force Transmitted can be measured.

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Stiffness of Spring using Force Transmitted Formula

Stiffness of Spring using Force Transmitted Example

Stiffness of Spring using Force Transmitted Solution

Stiffness of Spring using Force Transmitted Formula Elements

Other formulas in Vibration Isolation and Transmissibility category

How to Evaluate Stiffness of Spring using Force Transmitted?

FAQs on Stiffness of Spring using Force Transmitted

Variable Name