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Deflection of Spring when Mass m is Attached to it Formula

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Deflection of Spring is how a spring responds when force is applied or released. Check FAQs

δ = M \cdot \frac{g}{k}

δ - Deflection of Spring?M - Mass of Body?g - Acceleration Due to Gravity?k - Stiffness of Spring?

Deflection of Spring when Mass m is Attached to it Example

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Here is how the Deflection of Spring when Mass m is Attached to it equation looks like with Values.

Here is how the Deflection of Spring when Mass m is Attached to it equation looks like with Units.

Here is how the Deflection of Spring when Mass m is Attached to it equation looks like.

6164.7529 = 12.6 \cdot \frac{9.8}{20.03}

6164.7529mm = 12.6kg \cdot \frac{9.8m/s²}{20.03N/m}

6164.7529 = 12.6 \cdot \frac{9.8}{20.03}

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Deflection of Spring when Mass m is Attached to it Solution

Follow our step by step solution on how to calculate Deflection of Spring when Mass m is Attached to it?

FIRST Step Consider the formula

δ = M \cdot \frac{g}{k}

Next Step Substitute values of Variables

∴

δ = 12.6kg \cdot \frac{9.8m/s²}{20.03N/m}

Next Step Prepare to Evaluate

∴

δ = 12.6 \cdot \frac{9.8}{20.03}

Next Step Evaluate

∴

δ = 6.16475287069396m

Next Step Convert to Output's Unit

∴

δ = 6164.75287069396mm

LAST Step Rounding Answer

∴

δ = 6164.7529mm

Deflection of Spring when Mass m is Attached to it Formula Elements

Variables

Deflection of Spring

Deflection of Spring is how a spring responds when force is applied or released.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spring

Mass of Body

Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Body

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

Stiffness of Spring

Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Other formulas in Closely Coiled Helical Spring category

Go Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically

t p = 2 \cdot π \cdot \sqrt{\frac{M}{k}}

Go Periodic Time of Mass Attached to Spring of given Mass

t p = 2 \cdot π \cdot \sqrt{\frac{M + \frac{m}{3}}{k}}

Go Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically

f = \frac{\sqrt{\frac{k}{M}}}{2 \cdot π}

Go Frequency of Mass Attached to Spring of given Mass

f = \frac{\sqrt{\frac{k}{M + \frac{m}{3}}}}{2 \cdot π}

How to Evaluate Deflection of Spring when Mass m is Attached to it?

Deflection of Spring when Mass m is Attached to it evaluator uses Deflection of Spring = Mass of Body*Acceleration Due to Gravity/Stiffness of Spring to evaluate the Deflection of Spring, Deflection of Spring when Mass m is Attached to it formula is defined as the measure of displacement of the spring from its equilibrium position when a mass is attached to it, which is a fundamental concept in simple harmonic motion, helping to understand the oscillatory behavior of the spring-mass system. Deflection of Spring is denoted by δ symbol.

How to evaluate Deflection of Spring when Mass m is Attached to it using this online evaluator? To use this online evaluator for Deflection of Spring when Mass m is Attached to it, enter Mass of Body (M), Acceleration Due to Gravity (g) & Stiffness of Spring (k) and hit the calculate button.

FAQs on Deflection of Spring when Mass m is Attached to it

What is the formula to find Deflection of Spring when Mass m is Attached to it?

The formula of Deflection of Spring when Mass m is Attached to it is expressed as Deflection of Spring = Mass of Body*Acceleration Due to Gravity/Stiffness of Spring. Here is an example- 6.2E+6 = 12.6*9.8/20.03.

How to calculate Deflection of Spring when Mass m is Attached to it?

With Mass of Body (M), Acceleration Due to Gravity (g) & Stiffness of Spring (k) we can find Deflection of Spring when Mass m is Attached to it using the formula - Deflection of Spring = Mass of Body*Acceleration Due to Gravity/Stiffness of Spring.

Can the Deflection of Spring when Mass m is Attached to it be negative?

No, the Deflection of Spring when Mass m is Attached to it, measured in Length cannot be negative.

Which unit is used to measure Deflection of Spring when Mass m is Attached to it?

Deflection of Spring when Mass m is Attached to it is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Deflection of Spring when Mass m is Attached to it can be measured.

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Deflection of Spring when Mass m is Attached to it Formula

Deflection of Spring when Mass m is Attached to it Example

Deflection of Spring when Mass m is Attached to it Solution

Deflection of Spring when Mass m is Attached to it Formula Elements

Other formulas in Closely Coiled Helical Spring category

How to Evaluate Deflection of Spring when Mass m is Attached to it?

FAQs on Deflection of Spring when Mass m is Attached to it

Variable Name