Acceleration in SHM given Angular Frequency Calculator

✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+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%

✖Acceleration is the rate of change in velocity to the change in time.ⓘ Acceleration in SHM given Angular Frequency [a]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Simple Harmonic Motion(SHM) Formulas PDF PDF Image

Acceleration in SHM given Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration = -Angular Frequency^2*Displacement
a = -ω^2*S
This formula uses 3 Variables

Variables Used

Acceleration - (Measured in Meter per Square Second) - Acceleration is the rate of change in velocity to the change in time.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
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

Angular Frequency: 10.28508 Revolution per Second --> 10.28508 Hertz (Check conversion here)
Displacement: 65 Meter --> 65 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = -ω^2*S --> -10.28508^2*65

Evaluating ... ...

a = 6875.886589416

STEP 3: Convert Result to Output's Unit

6875.886589416 Meter per Square Second --> No Conversion Required

FINAL ANSWER

6875.886589416 ≈ 6875.887 Meter per Square Second <-- Acceleration

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Forces and Energy in SHM » Acceleration in SHM given Angular Frequency

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

Acceleration in SHM given Angular Frequency Formula

LaTeX Go

Acceleration = -Angular Frequency^2*Displacement
a = -ω^2*S

What is Acceleration?

Acceleration is a vector quantity that represents the rate of change of velocity of an object with respect to time. It provides a measure of how quickly an object speeds up, slows down, or changes direction.

How to Calculate Acceleration in SHM given Angular Frequency?

Acceleration in SHM given Angular Frequency calculator uses Acceleration = -Angular Frequency^2*Displacement to calculate the Acceleration, Acceleration in SHM given Angular Frequency formula is defined as a measure of the rate of change of velocity of an object undergoing simple harmonic motion, influenced by the angular frequency and distance traveled, describing the oscillatory behavior of the object. Acceleration is denoted by a symbol.

How to calculate Acceleration in SHM given Angular Frequency using this online calculator? To use this online calculator for Acceleration in SHM given Angular Frequency, enter Angular Frequency (ω) & Displacement (S) and hit the calculate button. Here is how the Acceleration in SHM given Angular Frequency calculation can be explained with given input values -> 6869.096 = -10.28508^2*65.

FAQ

What is Acceleration in SHM given Angular Frequency?

Acceleration in SHM given Angular Frequency formula is defined as a measure of the rate of change of velocity of an object undergoing simple harmonic motion, influenced by the angular frequency and distance traveled, describing the oscillatory behavior of the object and is represented as a = -ω^2*S or Acceleration = -Angular Frequency^2*Displacement. Angular Frequency of a steadily recurring phenomenon expressed in radians per second & 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 Acceleration in SHM given Angular Frequency?

Acceleration in SHM given Angular Frequency formula is defined as a measure of the rate of change of velocity of an object undergoing simple harmonic motion, influenced by the angular frequency and distance traveled, describing the oscillatory behavior of the object is calculated using Acceleration = -Angular Frequency^2*Displacement. To calculate Acceleration in SHM given Angular Frequency, you need Angular Frequency (ω) & Displacement (S). With our tool, you need to enter the respective value for Angular Frequency & 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 Acceleration?

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

Acceleration = (Spring Constant*Displacement)/Mass

Home

FREE PDFs

🔍 Search