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 00.004 seconds)

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Closely Coiled Helical Spring Calculators

Periodic Time of Mass Attached to Spring of given Mass
​ 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
​ 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
​ 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
​ Go Frequency = sqrt(Stiffness of Spring/Mass of Body)/(2*pi)

Deflection of Spring when Mass m is Attached to it Formula

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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