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Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion Calculator

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Elements of Vibration Forced Vibration Free Vibration of Single DOF Undamped Torsional System Undamped Free Vibration

✖Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.ⓘ Angular Velocity [ω]			+10% -10%
✖Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.ⓘ Vibrational Amplitude [A']			+10% -10%

✖Maximum Acceleration is the highest rate of change of velocity of an object in mechanical vibrations, typically measured in meters per second squared.ⓘ Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion [a_max]

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Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude
a_max = ω^2*A'
This formula uses 3 Variables

Variables Used

Maximum Acceleration - (Measured in Meter per Square Second) - Maximum Acceleration is the highest rate of change of velocity of an object in mechanical vibrations, typically measured in meters per second squared.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.
Vibrational Amplitude - (Measured in Meter) - Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 0.200022 Radian per Second --> 0.200022 Radian per Second No Conversion Required
Vibrational Amplitude: 13.2 Meter --> 13.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_max = ω^2*A' --> 0.200022^2*13.2

Evaluating ... ...

a_max = 0.5281161663888

STEP 3: Convert Result to Output's Unit

0.5281161663888 Meter per Square Second --> No Conversion Required

FINAL ANSWER

0.5281161663888 ≈ 0.528116 Meter per Square Second <-- Maximum Acceleration

(Calculation completed in 00.020 seconds)

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< Elements of Vibration Calculators

Velocity of Body in Simple Harmonic Motion

LaTeX Go Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion

LaTeX Go Acceleration = Vibrational Amplitude*Angular Velocity^2*sin(Angular Velocity*Time in seconds)

Displacement of Body in Simple Harmonic Motion

LaTeX Go Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

LaTeX Go Acceleration = Angular Velocity^2*Displacement of Body

Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion Formula

LaTeX Go

Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude
a_max = ω^2*A'

What is Simple Harmonic Motion?

Simple harmonic motion is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position.

How to Calculate Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion?

Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion calculator uses Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude to calculate the Maximum Acceleration, Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion formula is defined as the maximum acceleration of an object undergoing simple harmonic motion, which is a type of periodic motion that occurs when the net force on an object is proportional to its displacement from its equilibrium position. Maximum Acceleration is denoted by a_max symbol.

How to calculate Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion using this online calculator? To use this online calculator for Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion, enter Angular Velocity (ω) & Vibrational Amplitude (A') and hit the calculate button. Here is how the Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion calculation can be explained with given input values -> 0.528116 = 0.200022^2*13.2.

FAQ

What is Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion?

Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion formula is defined as the maximum acceleration of an object undergoing simple harmonic motion, which is a type of periodic motion that occurs when the net force on an object is proportional to its displacement from its equilibrium position and is represented as a_max = ω^2*A' or Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude. Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations & Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.

How to calculate Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion?

Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion formula is defined as the maximum acceleration of an object undergoing simple harmonic motion, which is a type of periodic motion that occurs when the net force on an object is proportional to its displacement from its equilibrium position is calculated using Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude. To calculate Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion, you need Angular Velocity (ω) & Vibrational Amplitude (A'). With our tool, you need to enter the respective value for Angular Velocity & Vibrational Amplitude 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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