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Velocity of Body in Simple Harmonic Motion Formula

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Velocity of Body is the rate of change of an object's position with respect to time, typically measured in meters per second. Check FAQs

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

V - Velocity of Body?A' - Vibrational Amplitude?ω - Angular Velocity?t_sec - Time in seconds?

Velocity of Body in Simple Harmonic Motion Example

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

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

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

0.6613 = 13.2 \cdot 0.2 \cdot \cos (0.2 \cdot 38)

0.6613m/s = 13.2m \cdot 0.2rad/s \cdot \cos (0.2rad/s \cdot 38s)

0.6613 = 13.2 \cdot 0.2 \cdot \cos (0.2 \cdot 38)

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Velocity of Body in Simple Harmonic Motion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = 13.2m \cdot 0.2rad/s \cdot \cos (0.2rad/s \cdot 38s)

Next Step Prepare to Evaluate

∴

V = 13.2 \cdot 0.2 \cdot \cos (0.2 \cdot 38)

Next Step Evaluate

∴

V = 0.661262246281801m/s

LAST Step Rounding Answer

∴

V = 0.6613m/s

Velocity of Body in Simple Harmonic Motion Formula Elements

Variables

Functions

Velocity of Body

Velocity of Body is the rate of change of an object's position with respect to time, typically measured in meters per second.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Body

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

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

Time in seconds

Time in seconds is the duration of an event or process in mechanical vibrations, typically measured in seconds to analyze vibrational patterns.

Symbol: t_sec

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time in seconds

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Elements of Vibration category

Go Displacement of Body in Simple Harmonic Motion

d = A' \cdot \sin (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

Go Damping Force

F d = c \cdot V

How to Evaluate Velocity of Body in Simple Harmonic Motion?

Velocity of Body in Simple Harmonic Motion evaluator uses Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds) to evaluate the Velocity of Body, Velocity of Body in Simple Harmonic Motion formula is defined as the maximum speed of an object as it oscillates about its equilibrium position, providing a measure of the object's kinetic energy during its vibrational motion. Velocity of Body is denoted by V symbol.

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

FAQs on Velocity of Body in Simple Harmonic Motion

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

The formula of Velocity of Body in Simple Harmonic Motion is expressed as Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds). Here is an example- 0.661262 = 13.2*0.200022*cos(0.200022*38).

How to calculate Velocity of Body in Simple Harmonic Motion?

With Vibrational Amplitude (A'), Angular Velocity (ω) & Time in seconds (t_sec) we can find Velocity of Body in Simple Harmonic Motion using the formula - Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds). This formula also uses Cosine (cos) function(s).

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

Yes, the Velocity of Body in Simple Harmonic Motion, measured in Speed can be negative.

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

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 Velocity of Body in Simple Harmonic Motion can be measured.

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