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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

✖Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.ⓘ Vibrational Amplitude [A']			+10% -10%
✖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%
✖Time in seconds is the duration of an event or process in mechanical vibrations, typically measured in seconds to analyze vibrational patterns.ⓘ Time in seconds [t_sec]			+10% -10%

✖Velocity of Body is the rate of change of an object's position with respect to time, typically measured in meters per second.ⓘ Velocity of Body in Simple Harmonic Motion [V]

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Velocity of Body in Simple Harmonic Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)
V = A'*ω*cos(ω*t_sec)
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Velocity of Body - (Measured in Meter per Second) - Velocity of Body is the rate of change of an object's position with respect to time, typically measured in meters per second.
Vibrational Amplitude - (Measured in Meter) - Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.
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.
Time in seconds - (Measured in Second) - Time in seconds is the duration of an event or process in mechanical vibrations, typically measured in seconds to analyze vibrational patterns.

STEP 1: Convert Input(s) to Base Unit

Vibrational Amplitude: 13.2 Meter --> 13.2 Meter No Conversion Required
Angular Velocity: 0.200022 Radian per Second --> 0.200022 Radian per Second No Conversion Required
Time in seconds: 38 Second --> 38 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = A'*ω*cos(ω*t_sec) --> 13.2*0.200022*cos(0.200022*38)

Evaluating ... ...

V = 0.661262246281801

STEP 3: Convert Result to Output's Unit

0.661262246281801 Meter per Second --> No Conversion Required

FINAL ANSWER

0.661262246281801 ≈ 0.661262 Meter per Second <-- Velocity of Body

(Calculation completed in 00.004 seconds)

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< Elements of Vibration Calculators

Velocity of Body in Simple Harmonic Motion

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

Magnitude of Acceleration of Body in Simple Harmonic Motion

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

Displacement of Body in Simple Harmonic Motion

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

Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

Go Acceleration = Angular Velocity^2*Displacement of Body

Velocity of Body in Simple Harmonic Motion Formula

Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)
V = A'*ω*cos(ω*t_sec)

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 Velocity of Body in Simple Harmonic Motion?

Velocity of Body in Simple Harmonic Motion calculator uses Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds) to calculate 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 calculate Velocity of Body in Simple Harmonic Motion using this online calculator? To use this online calculator 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. Here is how the Velocity of Body in Simple Harmonic Motion calculation can be explained with given input values -> 0.661262 = 13.2*0.200022*cos(0.200022*38).

FAQ

What is Velocity of Body in Simple Harmonic Motion?

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 and is represented as V = A'*ω*cos(ω*t_sec) or Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds). Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation, Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations & Time in seconds is the duration of an event or process in mechanical vibrations, typically measured in seconds to analyze vibrational patterns.

How to calculate Velocity of Body in Simple Harmonic Motion?

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 is calculated using Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds). To calculate Velocity of Body in Simple Harmonic Motion, you need Vibrational Amplitude (A'), Angular Velocity (ω) & Time in seconds (t_sec). With our tool, you need to enter the respective value for Vibrational Amplitude, Angular Velocity & Time in seconds 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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