Acceleration given Constant K and Distance Traveled Calculator

✖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%
✖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%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%

✖Acceleration is the rate of change in velocity to the change in time.ⓘ Acceleration given Constant K and Distance Traveled [a]

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Formula

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Acceleration given Constant K and Distance Traveled

Formula

`"a" = ("K"*"S")/"M"`

Example

`"6875.882m/s²"=("3750"*"65m")/"35.45kg"`

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Acceleration given Constant K and Distance Traveled Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration = (Spring Constant*Displacement)/Mass
a = (K*S)/M
This formula uses 4 Variables

Variables Used

Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change in velocity to the change in time.
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.
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.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

STEP 1: Convert Input(s) to Base Unit

Spring Constant: 3750 --> No Conversion Required
Displacement: 65 Meter --> 65 Meter No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (K*S)/M --> (3750*65)/35.45

Evaluating ... ...

a = 6875.88152327221

STEP 3: Convert Result to Output's Unit

6875.88152327221 Meter per Square Second --> No Conversion Required

FINAL ANSWER

6875.88152327221 ≈ 6875.882 Meter per Square Second <-- Acceleration

(Calculation completed in 00.004 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Forces and Energy in SHM » Acceleration given Constant K and Distance Traveled

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Indian Institute of Information Technology (IIIT), Guwahati

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< 7 Forces and Energy in SHM Calculators

Mass of Body given Distance Traveled and Constant K

Go Mass = (Spring Constant*Displacement)/Acceleration

Acceleration given Constant K and Distance Traveled

Go Acceleration = (Spring Constant*Displacement)/Mass

Constant K given Restoring Force

Go Spring Constant = -(Restoring Force/Displacement)

Restoring Force in SHM

Go Restoring Force = -(Spring Constant)*Displacement

Acceleration in SHM given Angular Frequency

Go Acceleration = -Angular Frequency^2*Displacement

Constant K given Angular Frequency

Go Spring Constant = Angular Frequency^2*Mass

Restoring Force given Stress

Go Force = Stress*Area

Acceleration given Constant K and Distance Traveled Formula

Acceleration = (Spring Constant*Displacement)/Mass
a = (K*S)/M

What is Wave?

A wave is a disturbance that transfers energy from one place to another through a medium or through space, often without the permanent displacement of the particles of the medium. Waves are characterized by their oscillatory nature, meaning they involve periodic motion. They can travel through solids, liquids, gases, and even in the vacuum of space (in the case of electromagnetic waves).

How to Calculate Acceleration given Constant K and Distance Traveled?

Acceleration given Constant K and Distance Traveled calculator uses Acceleration = (Spring Constant*Displacement)/Mass to calculate the Acceleration, Acceleration given Constant K and Distance Traveled formula is defined as a measure of the rate of change of velocity of an object undergoing simple harmonic motion, calculated by considering the constant force, distance traveled, and mass of the object. Acceleration is denoted by a symbol.

How to calculate Acceleration given Constant K and Distance Traveled using this online calculator? To use this online calculator for Acceleration given Constant K and Distance Traveled, enter Spring Constant (K), Displacement (S) & Mass (M) and hit the calculate button. Here is how the Acceleration given Constant K and Distance Traveled calculation can be explained with given input values -> 6875.882 = (3750*65)/35.45.

FAQ

What is Acceleration given Constant K and Distance Traveled?

Acceleration given Constant K and Distance Traveled formula is defined as a measure of the rate of change of velocity of an object undergoing simple harmonic motion, calculated by considering the constant force, distance traveled, and mass of the object and is represented as a = (K*S)/M or Acceleration = (Spring Constant*Displacement)/Mass. Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter, Displacement is a vector quantity that refers to the change in position of an object from its initial point to its final point & Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

How to calculate Acceleration given Constant K and Distance Traveled?

Acceleration given Constant K and Distance Traveled formula is defined as a measure of the rate of change of velocity of an object undergoing simple harmonic motion, calculated by considering the constant force, distance traveled, and mass of the object is calculated using Acceleration = (Spring Constant*Displacement)/Mass. To calculate Acceleration given Constant K and Distance Traveled, you need Spring Constant (K), Displacement (S) & Mass (M). With our tool, you need to enter the respective value for Spring Constant, Displacement & Mass 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 Acceleration?

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

Acceleration = -Angular Frequency^2*Displacement

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