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- Thread starter Jabbejokker
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I assume that you already know how it works for moving objects, in physics/mechanical dynamics: a = dv/dt = d²x/dt², or

x(t) = displacement or distance at time t

v(t) = dx/dt

a(t) = dv/dt

So also,

x(t) = ∫ v(t) dt + v(0)

v(t) = ∫ a(t) dt + a(0)

where the integrals are from 0 to t.

I too would be interested to know if or how anything like that applies, in transmission line speakers.

x(t) = displacement or distance at time t

v(t) = dx/dt

a(t) = dv/dt

So also,

x(t) = ∫ v(t) dt + v(0)

v(t) = ∫ a(t) dt + a(0)

where the integrals are from 0 to t.

I too would be interested to know if or how anything like that applies, in transmission line speakers.

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I am reading Martin Kings white paper on TL anatomy and I am getting stuck trying to understand how displacement precedes, acceleration which precedes acceleration. I am trying to visualize it in my head. How is displacement able to precede acceleration phase wise?

They don't precede each other, they are instantaneously 90 degrees

out phase with each other as they have to be. Velocity is maximum

at zero displacement and zero at maximum displacement. Acceleration

is opposite to the displacement so the driver moves back and forth.

rgds, sreten.

And with enough magnetic force, electrical and acoustic damping, it moves back and forth in a close approximation of the amplified signal source. 😉.

They don't precede each other, they are instantaneously 90 degrees

out phase with each other as they have to be. Velocity is maximum

at zero displacement and zero at maximum displacement. Acceleration

is opposite to the displacement so the driver moves back and forth.

rgds, sreten.

And with enough magnetic force, electrical and acoustic damping, it moves back and forth in a close approximation of the amplified signal source. 😉.

Depends on what frequency you are talking about.

I am reading Martin Kings white paper on TL anatomy and I am getting stuck trying to understand how displacement precedes, acceleration which precedes acceleration. I am trying to visualize it in my head. How is displacement able to precede acceleration phase wise?

Just draw a sine waveform and call it displacement.

Then below that draw the SLOPE of the displacement plot. That's velocity.

Below that, draw the slope of the velocity plot. That's acceleration.

It's more interesting with something other than a sine wave.

They don't precede each other, they are instantaneously 90 degrees

out phase with each other as they have to be. Velocity is maximum

at zero displacement and zero at maximum displacement. Acceleration

is opposite to the displacement so the driver moves back and forth.

rgds, sreten.

Its difficult for me to understand how Velocity of air is at a maximum at zero displacement. To me if something (air) is accelerated it is displaced. How can something be at maximum acceleration and be at zero displacement ergo stationary?

Thanks for responding.

Its velocity is at maximum when it passes back through the zero-displacement position, each time.

Thanks a lot everyone!

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