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*ωn^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*ωn^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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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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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*ωn^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 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*ωn^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 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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