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Maximum Velocity of Body in Simple Harmonic Motion Calculator

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Elements of Vibration Forced Vibration Free Vibration of Single DOF Undamped Torsional System Undamped Free Vibration

✖Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.ⓘ Angular Velocity [ω]			+10% -10%
✖Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.ⓘ Vibrational Amplitude [A']			+10% -10%

✖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.ⓘ Maximum Velocity of Body in Simple Harmonic Motion [V_max]

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Maximum Velocity of Body in Simple Harmonic Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Velocity = Angular Velocity*Vibrational Amplitude
V_max = ω*A'
This formula uses 3 Variables

Variables Used

Maximum Velocity - (Measured in Meter per Second) - 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.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.
Vibrational Amplitude - (Measured in Meter) - Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 0.200022 Radian per Second --> 0.200022 Radian per Second No Conversion Required
Vibrational Amplitude: 13.2 Meter --> 13.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_max = ω*A' --> 0.200022*13.2

Evaluating ... ...

V_max = 2.6402904

STEP 3: Convert Result to Output's Unit

2.6402904 Meter per Second --> No Conversion Required

FINAL ANSWER

2.6402904 ≈ 2.64029 Meter per Second <-- Maximum Velocity

(Calculation completed in 00.009 seconds)

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< Elements of Vibration Calculators

Velocity of Body in Simple Harmonic Motion

LaTeX Go Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion

LaTeX Go Acceleration = Vibrational Amplitude*Angular Velocity^2*sin(Angular Velocity*Time in seconds)

Displacement of Body in Simple Harmonic Motion

LaTeX Go Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

LaTeX Go Acceleration = Angular Velocity^2*Displacement of Body

Maximum Velocity of Body in Simple Harmonic Motion Formula

LaTeX Go

Maximum Velocity = Angular Velocity*Vibrational Amplitude
V_max = ω*A'

What is Simple Harmonic Motion?

Simple harmonic motion is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position.

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

Maximum Velocity of Body in Simple Harmonic Motion calculator uses Maximum Velocity = Angular Velocity*Vibrational Amplitude to calculate 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 calculate Maximum Velocity of Body in Simple Harmonic Motion using this online calculator? To use this online calculator for Maximum Velocity of Body in Simple Harmonic Motion, enter Angular Velocity (ω) & Vibrational Amplitude (A') and hit the calculate button. Here is how the Maximum Velocity of Body in Simple Harmonic Motion calculation can be explained with given input values -> 2.64029 = 0.200022*13.2.

FAQ

What is Maximum Velocity of Body in Simple Harmonic Motion?

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 and is represented as V_max = ω*A' or Maximum Velocity = Angular Velocity*Vibrational Amplitude. Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations & Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.

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

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 is calculated using Maximum Velocity = Angular Velocity*Vibrational Amplitude. To calculate Maximum Velocity of Body in Simple Harmonic Motion, you need Angular Velocity (ω) & Vibrational Amplitude (A'). With our tool, you need to enter the respective value for Angular Velocity & Vibrational Amplitude and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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