Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass Calculator

✖Mass of Valve Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.ⓘ Mass of Valve Spring [m]			+10% -10%
✖Natural Frequency Valve Spring is the frequency at which the spring tends to oscillate in the absence of any driving or damping force.ⓘ Natural Frequency Valve Spring [ω_n]			+10% -10%

✖Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.ⓘ Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass [k]

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Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2
k = 4*m*ω_n^2
This formula uses 3 Variables

Variables Used

Stiffness of Valve Spring - (Measured in Newton per Meter) - Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.
Mass of Valve Spring - (Measured in Kilogram) - Mass of Valve Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.
Natural Frequency Valve Spring - (Measured in Hertz) - Natural Frequency Valve Spring is the frequency at which the spring tends to oscillate in the absence of any driving or damping force.

STEP 1: Convert Input(s) to Base Unit

Mass of Valve Spring: 0.15 Kilogram --> 0.15 Kilogram No Conversion Required
Natural Frequency Valve Spring: 118 Hertz --> 118 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = 4*m*ω_n^2 --> 4*0.15*118^2

Evaluating ... ...

k = 8354.4

STEP 3: Convert Result to Output's Unit

8354.4 Newton per Meter -->8.3544 Newton per Millimeter (Check conversion here)

FINAL ANSWER

8.3544 Newton per Millimeter <-- Stiffness of Valve Spring

(Calculation completed in 00.006 seconds)

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< Valve Spring Calculators

Diameter of Wire of Engine Valve Spring

LaTeX Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*((Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve)*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring))

Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire

LaTeX Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Shear Stress in Valve Spring))

Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter

LaTeX Go Spring Index for Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Axial Force on Valve Spring)

Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

LaTeX Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass Formula

LaTeX Go

Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2
k = 4*m*ω_n^2

What is meant by stiffness of spring?

Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection,
Then P = k*x
The smaller the deflection at a constant load, the stiffer the spring, k.

How to Calculate Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass?

Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass calculator uses Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2 to calculate the Stiffness of Valve Spring, Stiffness of engine valve spring given its natural frequency of vibration and mass is the amount of resistive force per unit length offered by the engine valve spring to its deformation. Stiffness of Valve Spring is denoted by k symbol.

How to calculate Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass using this online calculator? To use this online calculator for Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass, enter Mass of Valve Spring (m) & Natural Frequency Valve Spring (ω_n) and hit the calculate button. Here is how the Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass calculation can be explained with given input values -> 0.008354 = 4*0.15*118^2.

FAQ

What is Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass?

Stiffness of engine valve spring given its natural frequency of vibration and mass is the amount of resistive force per unit length offered by the engine valve spring to its deformation and is represented as k = 4*m*ω_n^2 or Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2. Mass of Valve Spring is defined as the quantitative measure of inertia, a fundamental property of all matter & Natural Frequency Valve Spring is the frequency at which the spring tends to oscillate in the absence of any driving or damping force.

How to calculate Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass?

Stiffness of engine valve spring given its natural frequency of vibration and mass is the amount of resistive force per unit length offered by the engine valve spring to its deformation is calculated using Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2. To calculate Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass, you need Mass of Valve Spring (m) & Natural Frequency Valve Spring (ω_n). With our tool, you need to enter the respective value for Mass of Valve Spring & Natural Frequency Valve Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stiffness of Valve Spring?

In this formula, Stiffness of Valve Spring uses Mass of Valve Spring & Natural Frequency Valve Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stiffness of Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)
Stiffness of Valve Spring = Force to Lift Engine Valve/Lift of Valve

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