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Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion Formula

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Maximum Acceleration is the highest rate of change of velocity of an object in mechanical vibrations, typically measured in meters per second squared. Check FAQs

a max = ω^{2} \cdot A'

a_max - Maximum Acceleration?ω - Angular Velocity?A' - Vibrational Amplitude?

Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion Example

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Here is how the Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion equation looks like with Values.

Here is how the Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion equation looks like with Units.

Here is how the Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion equation looks like.

0.5281 = {0.2}^{2} \cdot 13.2

0.5281m/s² = {0.2rad/s}^{2} \cdot 13.2m

0.5281 = {0.2}^{2} \cdot 13.2

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Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion Solution

Follow our step by step solution on how to calculate Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion?

FIRST Step Consider the formula

a max = ω^{2} \cdot A'

Next Step Substitute values of Variables

∴

a max = {0.2rad/s}^{2} \cdot 13.2m

Next Step Prepare to Evaluate

∴

a max = {0.2}^{2} \cdot 13.2

Next Step Evaluate

∴

a max = 0.5281161663888m/s²

LAST Step Rounding Answer

∴

a max = 0.5281m/s²

Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion Formula Elements

Variables

Maximum Acceleration

Maximum Acceleration is the highest rate of change of velocity of an object in mechanical vibrations, typically measured in meters per second squared.

Symbol: a_max

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Maximum Acceleration

Angular Velocity

Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Vibrational Amplitude

Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.

Symbol: A'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vibrational Amplitude

Other formulas in Elements of Vibration category

Go Displacement of Body in Simple Harmonic Motion

d = A' \cdot \sin (ω \cdot t sec)

Go Velocity of Body in Simple Harmonic Motion

V = A' \cdot ω \cdot \cos (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion

a = A' \cdot ω^{2} \cdot \sin (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

a = ω^{2} \cdot d

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

Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion evaluator uses Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude to evaluate 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 evaluate Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion using this online evaluator? To use this online evaluator for Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion, enter Angular Velocity (ω) & Vibrational Amplitude (A') and hit the calculate button.

FAQs on Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion

What is the formula to find Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion?

The formula of Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion is expressed as Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude. Here is an example- 0.528116 = 0.200022^2*13.2.

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

With Angular Velocity (ω) & Vibrational Amplitude (A') we can find Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion using the formula - Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude.

Can the Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion be negative?

No, the Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion, measured in Acceleration cannot be negative.

Which unit is used to measure Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion?

Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion can be measured.

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