Restoring Force in SHM Calculator

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✖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%
✖Distance Traveled defines how much path an object has covered to reach its destination in a given period.ⓘ Distance Traveled [D]			+10% -10%

✖Restoring Force is a force which acts to bring a body to its equilibrium position.ⓘ Restoring Force in SHM [F_restoring]

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Formula

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Restoring Force in SHM

Formula

`"F"_{"restoring"} = "K"*"D"`

Example

`"650N"="10"*"65m"`

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Restoring Force in SHM Solution

STEP 0: Pre-Calculation Summary

Formula Used

Restoring Force = Spring Constant*Distance Traveled
F_restoring = K*D
This formula uses 3 Variables

Variables Used

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.
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

Spring Constant: 10 --> No Conversion Required
Distance Traveled: 65 Meter --> 65 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_restoring = K*D --> 10*65

Evaluating ... ...

F_restoring = 650

STEP 3: Convert Result to Output's Unit

650 Newton --> No Conversion Required

FINAL ANSWER

650 Newton <-- Restoring Force

(Calculation completed in 00.020 seconds)

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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!

< 10+ Simple Harmonic Motion(SHM) Calculators

Position of Particle in SHM

Go Position of a particle = Amplitude*sin(Angular Frequency*Time Period SHM+Phase Angle)

Distance Traveled by Particle in SHM until Velocity becomes Zero

Go Distance Traveled when Velocity becomes 0 = sqrt((Velocity^2)/(Angular Frequency^2)+Distance Traveled^2)

Velocity of Particle in SHM

Go Velocity = Angular Frequency*sqrt(Distance Traveled when Velocity becomes 0^2-Distance Traveled^2)

Square of Different Distances Traveled in SHM

Go Total Distance Traveled = Distance Traveled when Velocity becomes 0^2-Distance Traveled^2

Distance Traveled in SHM given Angular Frequency

Go Distance Traveled = Acceleration/(-Angular Frequency^2)

Acceleration in SHM given Angular Frequency

Go Acceleration = -Angular Frequency^2*Distance Traveled

Restoring Force in SHM

Go Restoring Force = Spring Constant*Distance Traveled

Angular Frequency in SHM

Go Angular Frequency = (2*pi)/Time Period SHM

Time Period of SHM

Go Time Period SHM = (2*pi)/Angular Frequency

Frequency of SHM

Go Frequency = 1/Time Period SHM

Restoring Force in SHM Formula

Restoring Force = Spring Constant*Distance Traveled
F_restoring = K*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 Restoring Force in SHM?

Restoring Force in SHM calculator uses Restoring Force = Spring Constant*Distance Traveled to calculate the Restoring Force, The Restoring Force in SHM 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. Restoring Force is denoted by F_restoring symbol.

How to calculate Restoring Force in SHM using this online calculator? To use this online calculator for Restoring Force in SHM, enter Spring Constant (K) & Distance Traveled (D) and hit the calculate button. Here is how the Restoring Force in SHM calculation can be explained with given input values -> 650 = 10*65.

FAQ

What is Restoring Force in SHM?

The Restoring Force in SHM 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 F_restoring = K*D or Restoring Force = Spring Constant*Distance Traveled. Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter & Distance Traveled defines how much path an object has covered to reach its destination in a given period.

How to calculate Restoring Force in SHM?

The Restoring Force in SHM 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 Restoring Force = Spring Constant*Distance Traveled. To calculate Restoring Force in SHM, you need Spring Constant (K) & Distance Traveled (D). With our tool, you need to enter the respective value for Spring Constant & Distance Traveled 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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