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

✖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 Valve Spring [k]			+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%

✖Mass of Valve Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.ⓘ Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness [m]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Stiffness of Valve Spring: 9 Newton per Millimeter --> 9000 Newton per Meter (Check conversion here)
Natural Frequency Valve Spring: 118 Hertz --> 118 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = k/(4*ω_n^2) --> 9000/(4*118^2)

Evaluating ... ...

m = 0.161591496696352

STEP 3: Convert Result to Output's Unit

0.161591496696352 Kilogram --> No Conversion Required

FINAL ANSWER

0.161591496696352 ≈ 0.161591 Kilogram <-- Mass of Valve Spring

(Calculation completed in 00.004 seconds)

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< Valve Spring Calculators

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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

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

LaTeX Go

Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2)
m = k/(4*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 Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness?

Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness calculator uses Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2) to calculate the Mass of Valve Spring, Mass of engine valve spring given its natural frequency of vibration and stiffness is defined as the total mass of the engine valve spring, the mass affects the vibration frequency of the spring. Mass of Valve Spring is denoted by m symbol.

How to calculate Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness using this online calculator? To use this online calculator for Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness, enter Stiffness of Valve Spring (k) & Natural Frequency Valve Spring (ω_n) and hit the calculate button. Here is how the Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness calculation can be explained with given input values -> 0.161591 = 9000/(4*118^2).

FAQ

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

Mass of engine valve spring given its natural frequency of vibration and stiffness is defined as the total mass of the engine valve spring, the mass affects the vibration frequency of the spring and is represented as m = k/(4*ω_n^2) or Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2). 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 & 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 Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness?

Mass of engine valve spring given its natural frequency of vibration and stiffness is defined as the total mass of the engine valve spring, the mass affects the vibration frequency of the spring is calculated using Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2). To calculate Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness, you need Stiffness of Valve Spring (k) & Natural Frequency Valve Spring (ω_n). With our tool, you need to enter the respective value for Stiffness 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.

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