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

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Natural Frequency Valve Spring is the frequency at which the spring tends to oscillate in the absence of any driving or damping force. Check FAQs

ω n = \frac{\sqrt{\frac{k}{m}}}{2}

ω_n - Natural Frequency Valve Spring?k - Stiffness of Valve Spring?m - Mass of Valve Spring?

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

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Here is how the Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness equation looks like with Values.

Here is how the Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness equation looks like with Units.

Here is how the Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness equation looks like.

122.4745 = \frac{\sqrt{\frac{9}{0.15}}}{2}

122.4745Hz = \frac{\sqrt{\frac{9N/mm}{0.15kg}}}{2}

122.4745 = \frac{\sqrt{\frac{9}{0.15}}}{2}

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

Follow our step by step solution on how to calculate Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness?

FIRST Step Consider the formula

ω n = \frac{\sqrt{\frac{k}{m}}}{2}

Next Step Substitute values of Variables

∴

ω n = \frac{\sqrt{\frac{9N/mm}{0.15kg}}}{2}

Next Step Convert Units

∴

ω n = \frac{\sqrt{\frac{9000N/m}{0.15kg}}}{2}

Next Step Prepare to Evaluate

∴

ω n = \frac{\sqrt{\frac{9000}{0.15}}}{2}

Next Step Evaluate

∴

ω n = 122.474487139159Hz

LAST Step Rounding Answer

∴

ω n = 122.4745Hz

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

Variables

Functions

Natural Frequency Valve Spring

Natural Frequency Valve Spring is the frequency at which the spring tends to oscillate in the absence of any driving or damping force.

Symbol: ω_n

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Natural Frequency Valve Spring

Stiffness of Valve Spring

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.

Symbol: k

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Valve Spring

Mass of Valve Spring

Mass of Valve Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Valve Spring

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Valve Spring category

Go Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

d w = \frac{D}{8}

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

d w = \sqrt{\frac{8 \cdot K \cdot P \cdot C}{π \cdot f s}}

Go Diameter of Wire of Engine Valve Spring

d w = \sqrt{\frac{8 \cdot K \cdot ((P i + k \cdot h max) \cdot C)}{π \cdot f s}}

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

C = \frac{π \cdot f s \cdot {d w}^{2}}{8 \cdot K \cdot P}

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

Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness evaluator uses Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2 to evaluate the Natural Frequency Valve Spring, Natural frequency of vibration of engine valve spring given its mass and stiffness is the frequency at which the valve spring tends to oscillate in the absence of any driving or damping force from the engine valve. Natural Frequency Valve Spring is denoted by ω_n symbol.

How to evaluate Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness using this online evaluator? To use this online evaluator for Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness, enter Stiffness of Valve Spring (k) & Mass of Valve Spring (m) and hit the calculate button.

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

What is the formula to find Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness?

The formula of Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness is expressed as Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2. Here is an example- 122.4745 = (sqrt(9000/0.15))/2.

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

With Stiffness of Valve Spring (k) & Mass of Valve Spring (m) we can find Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness using the formula - Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2. This formula also uses Square Root (sqrt) function(s).

Can the Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness be negative?

No, the Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness, measured in Frequency cannot be negative.

Which unit is used to measure Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness?

Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness can be measured.

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

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

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

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

Other formulas in Valve Spring category

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

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

Variable Name