Maximum Velocity of Body in Simple Harmonic Motion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Velocity = Angular Velocity*Vibrational Amplitude
Vmax = ω*A'
This formula uses 3 Variables
Variables Used
Maximum Velocity - (Measured in Meter per Second) - Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Vibrational Amplitude - (Measured in Meter) - Vibrational Amplitude is a measure of its change over a single period.
STEP 1: Convert Input(s) to Base Unit
Angular Velocity: 0.2 Radian per Second --> 0.2 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
Vmax = ω*A' --> 0.2*13.2
Evaluating ... ...
Vmax = 2.64
STEP 3: Convert Result to Output's Unit
2.64 Meter per Second --> No Conversion Required
FINAL ANSWER
2.64 Meter per Second <-- Maximum Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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14 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)
Work Done by Harmonic Force
Go Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference)
Displacement of Body in Simple Harmonic Motion
Go Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds)
Frequency given Spring Constant and Mass
Go Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring)
Angular Frequency
Go Angular Frequency = sqrt(Spring Stiffness/Mass Attached to Spring)
Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion
Go Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude
Maximum Velocity of Body in Simple Harmonic Motion
Go Maximum Velocity = Angular Velocity*Vibrational Amplitude
Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement
Go Acceleration = Angular Velocity^2*Displacement of Body
Period of Motion in Simple Harmonic Motion
Go Time Period of Oscillations = 2*pi/Angular Velocity
Damping Force
Go Damping Force = Damping Coefficient*Velocity of Body
Inertia Force
Go Inertia Force = Mass Attached to Spring*Acceleration
Spring Force
Go Spring Force = Spring Stiffness*Displacement of Body
Angular Frequency given Time Period of Motion
Go Angular Frequency = 2*pi/Time Period SHM

Maximum Velocity of Body in Simple Harmonic Motion Formula

Maximum Velocity = Angular Velocity*Vibrational Amplitude
Vmax = 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, The Maximum velocity of body in simple harmonic motion formula is defined as the product of angular acceleration and amplitude. Maximum Velocity is denoted by Vmax 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 -> 2.64 = 0.2*13.2.

FAQ

What is Maximum Velocity of Body in Simple Harmonic Motion?
The Maximum velocity of body in simple harmonic motion formula is defined as the product of angular acceleration and amplitude and is represented as Vmax = ω*A' or Maximum Velocity = Angular Velocity*Vibrational Amplitude. The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time & Vibrational Amplitude is a measure of its change over a single period.
How to calculate Maximum Velocity of Body in Simple Harmonic Motion?
The Maximum velocity of body in simple harmonic motion formula is defined as the product of angular acceleration and amplitude 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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