Deflection of Spring when Mass m is Attached to it Calculator

✖Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass of Body [M]			+10% -10%
✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%
✖Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of Spring [k]			+10% -10%

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring when Mass m is Attached to it [δ]

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Deflection of Spring when Mass m is Attached to it Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Spring = Mass of Body*Acceleration Due to Gravity/Stiffness of Spring
δ = M*g/k
This formula uses 4 Variables

Variables Used

Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Mass of Body - (Measured in Kilogram) - Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

STEP 1: Convert Input(s) to Base Unit

Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Stiffness of Spring: 20.03 Newton per Meter --> 20.03 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = M*g/k --> 12.6*9.8/20.03

Evaluating ... ...

δ = 6.16475287069396

STEP 3: Convert Result to Output's Unit

6.16475287069396 Meter -->6164.75287069396 Millimeter (Check conversion here)

FINAL ANSWER

6164.75287069396 ≈ 6164.753 Millimeter <-- Deflection of Spring

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Simple Harmonic Motion » Mechanical » Closely Coiled Helical Spring » Deflection of Spring when Mass m is Attached to it

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< Closely Coiled Helical Spring Calculators

Periodic Time of Mass Attached to Spring of given Mass

LaTeX Go Time Period SHM = 2*pi*sqrt((Mass of Body+Mass of Spring/3)/Stiffness of Spring)

Frequency of Mass Attached to Spring of given Mass

LaTeX Go Frequency = sqrt(Stiffness of Spring/(Mass of Body+Mass of Spring/3))/(2*pi)

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

LaTeX Go Time Period SHM = 2*pi*sqrt(Mass of Body/Stiffness of Spring)

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

LaTeX Go Frequency = sqrt(Stiffness of Spring/Mass of Body)/(2*pi)

Deflection of Spring when Mass m is Attached to it Formula

LaTeX Go

Deflection of Spring = Mass of Body*Acceleration Due to Gravity/Stiffness of Spring
δ = M*g/k

What is stiffness of spring?

The stiffness, k, of a body is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness. generally for spring, the spring stiffness is the force required to cause unit deflection.

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

Deflection of Spring when Mass m is Attached to it calculator uses Deflection of Spring = Mass of Body*Acceleration Due to Gravity/Stiffness of Spring to calculate 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 calculate Deflection of Spring when Mass m is Attached to it using this online calculator? To use this online calculator 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. Here is how the Deflection of Spring when Mass m is Attached to it calculation can be explained with given input values -> 6.2E+6 = 12.6*9.8/20.03.

FAQ

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

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 and is represented as δ = M*g/k or Deflection of Spring = Mass of Body*Acceleration Due to Gravity/Stiffness of Spring. Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it, Acceleration Due to Gravity is acceleration gained by an object because of gravitational force & Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

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

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 is calculated using Deflection of Spring = Mass of Body*Acceleration Due to Gravity/Stiffness of Spring. To calculate Deflection of Spring when Mass m is Attached to it, you need Mass of Body (M), Acceleration Due to Gravity (g) & Stiffness of Spring (k). With our tool, you need to enter the respective value for Mass of Body, Acceleration Due to Gravity & Stiffness of 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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