Distance from Start given Restoring Force and Constant K Calculator

✖Restoring Force is a force which acts to bring a body to its equilibrium position.ⓘ Restoring Force [F_restoring]			+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.ⓘ Spring Constant [K]			+10% -10%

✖Maximum Displacement refers to the furthest distance that a particle or object moves away from its equilibrium position during an oscillatory motion.ⓘ Distance from Start given Restoring Force and Constant K [S_max]

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Distance from Start given Restoring Force and Constant K Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Maximum Displacement - (Measured in Meter) - Maximum Displacement refers to the furthest distance that a particle or object moves away from its equilibrium position during an oscillatory motion.
Restoring Force - (Measured in Newton) - Restoring Force is a force which acts to bring a body to its equilibrium position.
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.

STEP 1: Convert Input(s) to Base Unit

Restoring Force: -243750 Newton --> -243750 Newton No Conversion Required
Spring Constant: 3750 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_max = -(F_restoring/K) --> -((-243750)/3750)

Evaluating ... ...

S_max = 65

STEP 3: Convert Result to Output's Unit

65 Meter --> No Conversion Required

FINAL ANSWER

65 Meter <-- Maximum Displacement

(Calculation completed in 00.006 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Velocity and Displacement in SHM » Distance from Start given Restoring Force and Constant K

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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National Institute Of Technology (NIT), Hamirpur

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< Velocity and Displacement in SHM Calculators

Distance Traveled by Particle in SHM until Velocity becomes Zero

LaTeX Go Maximum Displacement = sqrt((Velocity^2)/(Angular Frequency^2)+Displacement^2)

Velocity of Particle in SHM

LaTeX Go Velocity = Angular Frequency*sqrt(Maximum Displacement^2-Displacement^2)

Square of Different Distances Traveled in SHM

LaTeX Go Total Distance Traveled = Maximum Displacement^2-Displacement^2

Distance Traveled in SHM given Angular Frequency

LaTeX Go Displacement = Acceleration/(-Angular Frequency^2)

Distance from Start given Restoring Force and Constant K Formula

LaTeX Go

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

What is Spring?

A spring is a mechanical device typically used to store or absorb energy through elastic deformation. It is a flexible component that can be compressed, stretched, or twisted, and it exerts a force opposing the deformation to return to its original shape when the deforming force is removed. Springs are widely used in various applications across engineering, physics, and everyday technology.

How to Calculate Distance from Start given Restoring Force and Constant K?

Distance from Start given Restoring Force and Constant K calculator uses Maximum Displacement = -(Restoring Force/Spring Constant) to calculate the Maximum Displacement, Distance from Start given Restoring Force and Constant K formula is defined as a measure of the distance traveled in a simple harmonic motion, calculated by considering the opposing forces that resist the motion, where the restoring force and constant K are crucial factors that determine the extent of the oscillation. Maximum Displacement is denoted by S_max symbol.

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

FAQ

What is Distance from Start given Restoring Force and Constant K?

Distance from Start given Restoring Force and Constant K formula is defined as a measure of the distance traveled in a simple harmonic motion, calculated by considering the opposing forces that resist the motion, where the restoring force and constant K are crucial factors that determine the extent of the oscillation and is represented as S_max = -(F_restoring/K) or Maximum Displacement = -(Restoring Force/Spring Constant). Restoring Force is a force which acts to bring a body to its equilibrium position & Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.

How to calculate Distance from Start given Restoring Force and Constant K?

Distance from Start given Restoring Force and Constant K formula is defined as a measure of the distance traveled in a simple harmonic motion, calculated by considering the opposing forces that resist the motion, where the restoring force and constant K are crucial factors that determine the extent of the oscillation is calculated using Maximum Displacement = -(Restoring Force/Spring Constant). To calculate Distance from Start given Restoring Force and Constant K, you need Restoring Force (F_restoring) & Spring Constant (K). With our tool, you need to enter the respective value for Restoring Force & Spring Constant 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 Maximum Displacement?

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

Maximum Displacement = sqrt((Velocity^2)/(Angular Frequency^2)+Displacement^2)

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