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)

Credits

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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25 Valve Spring Calculators

Diameter of Wire of Engine Valve Spring
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))
Wahl Factor for Engine Valve Spring given Spring Index
Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve))
Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire
Go Mean Coil Diameter of Valve Spring = Spring Index for 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)))
Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring
Go Wire Diameter of Valve Spring = ((8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Maximum Compression in Valve Spring))^(1/4)
Maximum Compression of Engine Valve Spring given Total Turns
Go Maximum Compression in Valve Spring = (8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)
Maximum Compression of Engine Valve Spring given Number of Active Turns
Go Maximum Compression in Valve Spring = (8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)
Solid Length of Engine Valve Spring
Go Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter of Valve Spring
Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire
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
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)
Wahl Factor for Engine Valve Spring given Mean Coil Diameter and Wire Diameter
Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*Axial Force on Valve Spring)
Diameter of Wire of Engine Valve Spring given Total Turns of Spring
Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*(Stiffness of Valve Spring*(Total Coils in Valve Spring-2)))/(Modulus of Rigidity of Valve Spring))^(0.25)
Diameter of Wire of Engine Valve Spring given Number of Active Turns of Spring
Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring*Active Coils in Valve Spring)/(Modulus of Rigidity of Valve Spring))^(0.25)
Stiffness of Engine Valve Spring given Total Turns of Spring
Go 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)
Free Length of Engine Valve Spring
Go Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring
Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness
Go Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2
Maximum Compression of Engine Valve Spring given its Free Length and Solid Length
Go Maximum Compression in Valve Spring = (Free Length of Valve Spring-Solid Length of Valve Spring)/(1.15)
Solid Length of Engine Valve Spring given its Free Length and Maximum Compression
Go Solid Length of Valve Spring = Free Length of Valve Spring-1.15*Maximum Compression in Valve Spring
Solid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter
Go Solid Length of Valve Spring = (Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring
Solid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter
Go Solid Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring
Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness
Go Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2)
Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass
Go Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2
Total Gap between Coils of Engine Valve Spring given Maximum Compression of Spring
Go Total Axial Gap between Valve Spirng Coils = 0.15*Maximum Compression in Valve Spring
Maximum Compression of Engine Valve Spring given Total Gap between Coils of Spring
Go Maximum Compression in Valve Spring = Total Axial Gap between Valve Spirng Coils/0.15
Diameter of Wire of Engine Valve Spring given Mean Coil Diameter
Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8
Mean Coil Diameter of Engine Valve Spring given Wire Diameter
Go Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring

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

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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