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Acceleration in mechanical vibrations is the rate of change of velocity of an object with respect to time, describing its oscillatory motion. Check FAQs
a=ω2⋅d
a - Acceleration?ω - Angular Velocity?d - Displacement of Body?

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

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

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

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

0.5113Edit=0.2Edit2⋅12.7793Edit
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Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement Solution

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

FIRST Step Consider the formula
a=ω2⋅d
Next Step Substitute values of Variables
∴ a=0.2rad/s2⋅12.7793m
Next Step Prepare to Evaluate
∴ a=0.22⋅12.7793
Next Step Evaluate
∴a=0.511284864113186m/s²
LAST Step Rounding Answer
∴a=0.5113m/s²

Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement Formula Elements

Variables
Acceleration
Acceleration in mechanical vibrations is the rate of change of velocity of an object with respect to time, describing its oscillatory motion.
Symbol: a
Measurement: AccelerationUnit: m/s²
Note: Value can be positive or negative.
Formulas to find AccelerationOpen Variable
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 VelocityOpen Variable
Displacement of Body
Displacement of Body is the distance moved by an object from its mean position in a mechanical vibrating system, measured from a reference point.
Symbol: d
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Formulas to find Displacement of BodyOpen Variable

Other Formulas to find Acceleration

​Go Magnitude of Acceleration of Body in Simple Harmonic Motion
a=A'⋅ω2⋅sin(ω⋅tsec)

Other formulas in Elements of Vibration category

​Go Displacement of Body in Simple Harmonic Motion
d=A'⋅sin(ω⋅tsec)
​Go Velocity of Body in Simple Harmonic Motion
V=A'⋅ω⋅cos(ω⋅tsec)
​Go Damping Force
Fd=c⋅V
​Go Spring Force
Pspring=k'⋅d

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

Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement evaluator uses Acceleration = Angular Velocity^2*Displacement of Body to evaluate the Acceleration, Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement formula is defined as a measure of the rate of change of velocity of an object undergoing simple harmonic motion, which is a fundamental concept in mechanical vibrations, describing the acceleration of a body as it oscillates about its equilibrium position. Acceleration is denoted by a symbol.

How to evaluate Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement using this online evaluator? To use this online evaluator for Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement, enter Angular Velocity (ω) & Displacement of Body (d) and hit the calculate button.

FAQs on Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

What is the formula to find Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement?
The formula of Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement is expressed as Acceleration = Angular Velocity^2*Displacement of Body. Here is an example- 0.511285 = 0.200022^2*12.77931.
How to calculate Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement?
With Angular Velocity (ω) & Displacement of Body (d) we can find Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement using the formula - Acceleration = Angular Velocity^2*Displacement of Body.
What are the other ways to Calculate Acceleration?
Here are the different ways to Calculate Acceleration-
  • Acceleration=Vibrational Amplitude*Angular Velocity^2*sin(Angular Velocity*Time in seconds)OpenImg
Can the Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement be negative?
Yes, the Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement, measured in Acceleration can be negative.
Which unit is used to measure Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement?
Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement 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 Acceleration of Body in Simple Harmonic Motion given Displacement can be measured.
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