Acceleration of Particles disturbed by Vibrations Solution

STEP 0: Pre-Calculation Summary
Formula Used
Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration)
a = (4*(pi*f)^2*A)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Acceleration of Particles - (Measured in Meter per Square Second) - Acceleration of Particles is the rate of change of velocity.
Frequency of Vibration - (Measured in Hertz) - Frequency of Vibration is the number of times something happens in a particular period.
Amplitude of Vibration - (Measured in Meter) - Amplitude of Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down.
STEP 1: Convert Input(s) to Base Unit
Frequency of Vibration: 2.001 Hertz --> 2.001 Hertz No Conversion Required
Amplitude of Vibration: 10 Millimeter --> 0.01 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (4*(pi*f)^2*A) --> (4*(pi*2.001)^2*0.01)
Evaluating ... ...
a = 1.58071623566265
STEP 3: Convert Result to Output's Unit
1.58071623566265 Meter per Square Second --> No Conversion Required
FINAL ANSWER
1.58071623566265 1.580716 Meter per Square Second <-- Acceleration of Particles
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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​ LaTeX ​ Go Velocity of Particle with Mass m1 = Velocity of Particle with Mass m2*(Distance of Particle 2 from Explosion/Distance of Particle 1 from Explosion)^(1.5)
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​ LaTeX ​ Go Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration)
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​ LaTeX ​ Go Wavelength of Vibration = (Velocity of Vibration/Frequency of Vibration)
Velocity of Vibrations caused by Blasting
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Acceleration of Particles disturbed by Vibrations Formula

​LaTeX ​Go
Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration)
a = (4*(pi*f)^2*A)

What is Acceleration?

Acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

How to Calculate Acceleration of Particles disturbed by Vibrations?

Acceleration of Particles disturbed by Vibrations calculator uses Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration) to calculate the Acceleration of Particles, The Acceleration of Particles Disturbed by Vibrations is defined as rapid changes in motion caused by oscillations or disturbances in a vibrating system. Acceleration of Particles is denoted by a symbol.

How to calculate Acceleration of Particles disturbed by Vibrations using this online calculator? To use this online calculator for Acceleration of Particles disturbed by Vibrations, enter Frequency of Vibration (f) & Amplitude of Vibration (A) and hit the calculate button. Here is how the Acceleration of Particles disturbed by Vibrations calculation can be explained with given input values -> 1.580716 = (4*(pi*2.001)^2*0.01).

FAQ

What is Acceleration of Particles disturbed by Vibrations?
The Acceleration of Particles Disturbed by Vibrations is defined as rapid changes in motion caused by oscillations or disturbances in a vibrating system and is represented as a = (4*(pi*f)^2*A) or Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration). Frequency of Vibration is the number of times something happens in a particular period & Amplitude of Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down.
How to calculate Acceleration of Particles disturbed by Vibrations?
The Acceleration of Particles Disturbed by Vibrations is defined as rapid changes in motion caused by oscillations or disturbances in a vibrating system is calculated using Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration). To calculate Acceleration of Particles disturbed by Vibrations, you need Frequency of Vibration (f) & Amplitude of Vibration (A). With our tool, you need to enter the respective value for Frequency of Vibration & Amplitude of Vibration 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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