Constant K given Restoring Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Spring Constant = -Restoring Force/Distance Traveled
K = -Frestoring/D
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.
Distance Traveled - (Measured in Meter) - Distance Traveled defines how much path an object has covered to reach its destination in a given period.
STEP 1: Convert Input(s) to Base Unit
Restoring Force: 12.2 Newton --> 12.2 Newton No Conversion Required
Distance Traveled: 65 Meter --> 65 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = -Frestoring/D --> -12.2/65
Evaluating ... ...
K = -0.187692307692308
STEP 3: Convert Result to Output's Unit
-0.187692307692308 --> No Conversion Required
FINAL ANSWER
-0.187692307692308 -0.187692 <-- Spring Constant
(Calculation completed in 00.004 seconds)

Credits

Created by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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3 Empirical Constant's for SHM Calculators

Amplitude given Position
Go Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle
Constant K given Restoring Force
Go Spring Constant = -Restoring Force/Distance Traveled
Constant K given Angular Frequency
Go Spring Constant = Angular Frequency^2*Mass

Constant K given Restoring Force Formula

Spring Constant = -Restoring Force/Distance Traveled
K = -Frestoring/D

What is SHM?

Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

How to Calculate Constant K given Restoring Force?

Constant K given Restoring Force calculator uses Spring Constant = -Restoring Force/Distance Traveled to calculate the Spring Constant, The Constant k given restoring force formula is defined as a force that acts to bring a body to its equilibrium position. The restoring force is a function only of the position of the mass or particle, and it is always directed back toward the equilibrium position of the system. 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 (Frestoring) & Distance Traveled (D) and hit the calculate button. Here is how the Constant K given Restoring Force calculation can be explained with given input values -> -0.187692 = -12.2/65.

FAQ

What is Constant K given Restoring Force?
The Constant k given restoring force formula is defined as a force that acts to bring a body to its equilibrium position. The restoring force is a function only of the position of the mass or particle, and it is always directed back toward the equilibrium position of the system and is represented as K = -Frestoring/D or Spring Constant = -Restoring Force/Distance Traveled. Restoring Force is a force which acts to bring a body to its equilibrium position & Distance Traveled defines how much path an object has covered to reach its destination in a given period.
How to calculate Constant K given Restoring Force?
The Constant k given restoring force formula is defined as a force that acts to bring a body to its equilibrium position. The restoring force is a function only of the position of the mass or particle, and it is always directed back toward the equilibrium position of the system is calculated using Spring Constant = -Restoring Force/Distance Traveled. To calculate Constant K given Restoring Force, you need Restoring Force (Frestoring) & Distance Traveled (D). With our tool, you need to enter the respective value for Restoring Force & Distance Traveled 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 & Distance Traveled. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Spring Constant = Angular Frequency^2*Mass
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