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Maximum Velocity of Body in Simple Harmonic Motion Formula

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Maximum Velocity is the highest speed or rate of change of an object's position in a mechanical vibration system, typically measured in meters per second. Check FAQs

V max = ω \cdot A'

V_max - Maximum Velocity?ω - Angular Velocity?A' - Vibrational Amplitude?

Maximum Velocity of Body in Simple Harmonic Motion Example

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

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

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

2.6403 = 0.2 \cdot 13.2

2.6403m/s = 0.2rad/s \cdot 13.2m

2.6403 = 0.2 \cdot 13.2

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Maximum Velocity of Body in Simple Harmonic Motion Solution

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

FIRST Step Consider the formula

V max = ω \cdot A'

Next Step Substitute values of Variables

∴

V max = 0.2rad/s \cdot 13.2m

Next Step Prepare to Evaluate

∴

V max = 0.2 \cdot 13.2

Next Step Evaluate

∴

V max = 2.6402904m/s

LAST Step Rounding Answer

∴

V max = 2.6403m/s

Maximum Velocity of Body in Simple Harmonic Motion Formula Elements

Variables

Maximum Velocity

Maximum Velocity is the highest speed or rate of change of an object's position in a mechanical vibration system, typically measured in meters per second.

Symbol: V_max

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Maximum Velocity

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 Maximum Velocity of Body in Simple Harmonic Motion?

Maximum Velocity of Body in Simple Harmonic Motion evaluator uses Maximum Velocity = Angular Velocity*Vibrational Amplitude to evaluate the Maximum Velocity, Maximum Velocity of Body in Simple Harmonic Motion formula is defined as the highest speed attained by an object in 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 Velocity is denoted by V_max symbol.

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

FAQs on Maximum Velocity of Body in Simple Harmonic Motion

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

The formula of Maximum Velocity of Body in Simple Harmonic Motion is expressed as Maximum Velocity = Angular Velocity*Vibrational Amplitude. Here is an example- 2.64029 = 0.200022*13.2.

How to calculate Maximum Velocity of Body in Simple Harmonic Motion?

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

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

No, the Maximum Velocity of Body in Simple Harmonic Motion, measured in Speed cannot be negative.

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

Maximum Velocity of Body in Simple Harmonic Motion is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Maximum Velocity of Body in Simple Harmonic Motion can be measured.

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