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There is no generic "vibration" equation, as many different things can vibrate with many different boundary conditions. There is, however, a generic wave equation which, as I just hinted at, can be used to formulate equations for specific vibrations.
Given a function u(x,y,z,t) where x, y, and z are spatial coordinates in Euclidean space and t is time, the wave equation is given as:
∂2u/∂t2 = vp2∇2u,
where vp is the phase velocity of the wave and ∇2 is the Laplacian.
For the specific example of a vibrating string with a small amplitude, the wave equation becomes:
∂2y/∂t2 = v2∂2y/∂x2,
where y(x,t) and v is the velocity of the wave.
The remarkable thing about the wave equation is how often Mother Nature uses it. The "u(x,y,z,t)" can describe the vibration of a drum head, the electromagnetic fields of light, the ripples on water, the sound of your voice and much more.
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Is algebra used in music if so how and where?
Yes. The different notes represent different frequencies of vibration. One octave is a vibration ratio of 1 : 2. Since each octave has 12 half-notes, and the vibration ratio is the same for each, the vibration ratio from one half-note to the next is 1 : 12th. root of 2, or 1 : 121/12.Yes. The different notes represent different frequencies of vibration. One octave is a vibration ratio of 1 : 2. Since each octave has 12 half-notes, and the vibration ratio is the same for each, the vibration ratio from one half-note to the next is 1 : 12th. root of 2, or 1 : 121/12.Yes. The different notes represent different frequencies of vibration. One octave is a vibration ratio of 1 : 2. Since each octave has 12 half-notes, and the vibration ratio is the same for each, the vibration ratio from one half-note to the next is 1 : 12th. root of 2, or 1 : 121/12.Yes. The different notes represent different frequencies of vibration. One octave is a vibration ratio of 1 : 2. Since each octave has 12 half-notes, and the vibration ratio is the same for each, the vibration ratio from one half-note to the next is 1 : 12th. root of 2, or 1 : 121/12.
What unit measures vibration?
Vibration has amplitude and frequency, usually defined by acceleration and cycles per second (Hertz). It is measured with an accelerometer.
Is the word vibration in the Holy Bible?
In the King James version the word - vibration - does not appear at all. No word beginning with "vib~' appears.
What is one vibration per second?
What is hertz
What is a equation that is the inverse of the exponential equation?
Logarithmic equation
Is vibration produce energy?
Yes. Vibration is movement and from the equation, KE = (1/2)*m*v2, where m is the mass, v is the velocity and KE is the kinetic energy, it therefore causes energy.
The partial differentiation equation for the vibration of a uniform curved elastic plate is of fundamental importance and is known after her name Who is she?
Sophie germain
What is vibration equation?
There is no generic "vibration" equation, as many different things can vibrate with many different boundary conditions. There is, however, a generic wave equation which, as I just hinted at, can be used to formulate equations for specific vibrations.Given a function u(x,y,z,t) where x, y, and z are spatial coordinates in Euclidean space and t is time, the wave equation is given as:∂2u/∂t2 = vp2∇2u,where vp is the phase velocity of the wave and ∇2 is the Laplacian.For the specific example of a vibrating string with a small amplitude, the wave equation becomes:∂2y/∂t2 = v2∂2y/∂x2,where y(x,t) and v is the velocity of the wave.The remarkable thing about the wave equation is how often Mother Nature uses it. The "u(x,y,z,t)" can describe the vibration of a drum head, the electromagnetic fields of light, the ripples on water, the sound of your voice and much more.
What has the author Harry Melvin Shoemaker written?
Harry Melvin Shoemaker has written: 'A generalized equation of the vibrating membrane expressed in curvilinear coordinates' -- subject(s): Vibration
What part of speech is vibration?
Vibration is a noun.
What is atomic vibration?
Atomic Vibration calcuates
What is vibration of wave?
Vibration is the frequency of the wave.
What is the vibration?
There is no generic "vibration" equation, as many different things can vibrate with many different boundary conditions. There is, however, a generic wave equation which, as I just hinted at, can be used to formulate equations for specific vibrations.Given a function u(x,y,z,t) where x, y, and z are spatial coordinates in Euclidean space and t is time, the wave equation is given as:∂2u/∂t2 = vp2∇2u,where vp is the phase velocity of the wave and ∇2 is the Laplacian.For the specific example of a vibrating string with a small amplitude, the wave equation becomes:∂2y/∂t2 = v2∂2y/∂x2,where y(x,t) and v is the velocity of the wave.The remarkable thing about the wave equation is how often Mother Nature uses it. The "u(x,y,z,t)" can describe the vibration of a drum head, the electromagnetic fields of light, the ripples on water, the sound of your voice and much more.
How does sound occur?
the lenght of the wave is depending on the vibration.
How would you describe vibration?
mainly two types of Vibration measurement: shaft vibration Bearing Vibration
Your apache rtr 160 has the vibration how could you stop the vibration?
Use vibration dampening measures like a barsnake.
A vibration which is rapid back and forth motion?
The rapid back and forth of air or other matter is the sounds vibration (vibration is the anwser).
