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*ωn^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*ωn^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 00.004 seconds)

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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

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

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