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Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion Formula

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Maximum Acceleration is the rate of change of the velocity of an object with respect to time. 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 Units.

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

0.528 = {0.2}^{2} \cdot 13.2

0.528m/s² = {0.2rad/s}^{2} \cdot 13.2m

0.528 = {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

LAST Step Evaluate

∴

a max = 0.528m/s²

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

Variables

Maximum Acceleration

Maximum Acceleration is the rate of change of the velocity of an object with respect to time.

Symbol: a_max

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Maximum Acceleration

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Vibrational Amplitude

Vibrational Amplitude is a measure of its change over a single period.

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 Damping Force

F d = c \cdot V

Go Spring Force

P spring = k' \cdot d

Go Inertia Force

F inertia = m' \cdot a

Go Displacement of Body in Simple Harmonic Motion

d = A' \cdot \sin (ω \cdot t sec)

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, The Magnitude of maximum acceleration of body in simple harmonic motion formula is defined as the product of square of angular velocity and amplitude. 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- 0.528 = 0.2^2*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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