Constant K given Restoring Force Calculator

✖Restoring Force is a force which acts to bring a body to its equilibrium position.ⓘ Restoring Force [F_restoring]			+10% -10%
✖Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.ⓘ Displacement [S]			+10% -10%

✖Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.ⓘ Constant K given Restoring Force [K]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Simple Harmonic Motion(SHM) Formulas PDF PDF Image

Constant K given Restoring Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Constant = -(Restoring Force/Displacement)
K = -(F_restoring/S)
This formula uses 3 Variables

Variables Used

Spring Constant - Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.
Restoring Force - (Measured in Newton) - Restoring Force is a force which acts to bring a body to its equilibrium position.
Displacement - (Measured in Meter) - Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.

STEP 1: Convert Input(s) to Base Unit

Restoring Force: -243750 Newton --> -243750 Newton No Conversion Required
Displacement: 65 Meter --> 65 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = -(F_restoring/S) --> -((-243750)/65)

Evaluating ... ...

K = 3750

STEP 3: Convert Result to Output's Unit

3750 --> No Conversion Required

FINAL ANSWER

3750 <-- Spring Constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Forces and Energy in SHM » Constant K given Restoring Force

Credits

Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Forces and Energy in SHM Calculators

Mass of Body given Distance Traveled and Constant K

LaTeX Go Mass = (Spring Constant*Displacement)/Acceleration

Constant K given Restoring Force

LaTeX Go Spring Constant = -(Restoring Force/Displacement)

Restoring Force in SHM

LaTeX Go Restoring Force = -(Spring Constant)*Displacement

Constant K given Angular Frequency

LaTeX Go Spring Constant = Angular Frequency^2*Mass

Constant K given Restoring Force Formula

LaTeX Go

Spring Constant = -(Restoring Force/Displacement)
K = -(F_restoring/S)

What is Restoring Force?

Restoring force is the force exerted by a system when it is displaced from its equilibrium position. This force acts in the opposite direction to the displacement, aiming to return the system to its original position of rest.

How to Calculate Constant K given Restoring Force?

Constant K given Restoring Force calculator uses Spring Constant = -(Restoring Force/Displacement) to calculate the Spring Constant, Constant K given Restoring Force formula is defined as a measure of the proportionality constant in an ideal spring-mass system, relating the restoring force to the distance traveled, describing the oscillatory motion of an object attached to a spring. Spring Constant is denoted by K symbol.

How to calculate Constant K given Restoring Force using this online calculator? To use this online calculator for Constant K given Restoring Force, enter Restoring Force (F_restoring) & Displacement (S) and hit the calculate button. Here is how the Constant K given Restoring Force calculation can be explained with given input values -> -3750 = -((-243750)/65).

FAQ

What is Constant K given Restoring Force?

Constant K given Restoring Force formula is defined as a measure of the proportionality constant in an ideal spring-mass system, relating the restoring force to the distance traveled, describing the oscillatory motion of an object attached to a spring and is represented as K = -(F_restoring/S) or Spring Constant = -(Restoring Force/Displacement). Restoring Force is a force which acts to bring a body to its equilibrium position & Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point.

How to calculate Constant K given Restoring Force?

Constant K given Restoring Force formula is defined as a measure of the proportionality constant in an ideal spring-mass system, relating the restoring force to the distance traveled, describing the oscillatory motion of an object attached to a spring is calculated using Spring Constant = -(Restoring Force/Displacement). To calculate Constant K given Restoring Force, you need Restoring Force (F_restoring) & Displacement (S). With our tool, you need to enter the respective value for Restoring Force & Displacement 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 Spring Constant?

In this formula, Spring Constant uses Restoring Force & Displacement. We can use 1 other way(s) to calculate the same, which is/are as follows -

Spring Constant = Angular Frequency^2*Mass

Home

FREE PDFs

🔍 Search