We know that pressure (P) is a force distributed over some area, so maybe we can approximate this pressure as a sort of "elasticity" term (i.e. spring constant) for air. We then need a mass term that accounts for air mass distributed in three dimensions – that's the density (p). Now, assuming our 'spring modeľ of resonance developed above is valid, we might logically write: Vsound = c = Where we define 'c' to be the speed of sound in air. Even if this logically makes sense, we need to make sure it accurately models the physics of sound before we can claim it to be "correct". 3.1: The first thing we should do is to check the units. Do the dimensional analysis to make sure the units work out. 3.2: The air pressure (called the 'Barometric pressure') and air density are measurable, but that is beyond the scope of this lab. These values change with local atmospheric conditions, but generally: PB = 101x10³ Pa and pair = 1.23 kg/m³. Calculate c using the relation we reasoned out above. This is your theoretically determined value for c (call it Cth).
We know that pressure (P) is a force distributed over some area, so maybe we can approximate this pressure as a sort of "elasticity" term (i.e. spring constant) for air. We then need a mass term that accounts for air mass distributed in three dimensions – that's the density (p). Now, assuming our 'spring modeľ of resonance developed above is valid, we might logically write: Vsound = c = Where we define 'c' to be the speed of sound in air. Even if this logically makes sense, we need to make sure it accurately models the physics of sound before we can claim it to be "correct". 3.1: The first thing we should do is to check the units. Do the dimensional analysis to make sure the units work out. 3.2: The air pressure (called the 'Barometric pressure') and air density are measurable, but that is beyond the scope of this lab. These values change with local atmospheric conditions, but generally: PB = 101x10³ Pa and pair = 1.23 kg/m³. Calculate c using the relation we reasoned out above. This is your theoretically determined value for c (call it Cth).
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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How do I go about the two-part question for this topic of acoustic resonance?
Transcribed Image Text:We know that pressure (P) is a force distributed over some area, so maybe we can
approximate this pressure as a sort of "elasticity" term (i.e. spring constant) for
air. We then need a mass term that accounts for air mass distributed in three
dimensions – that's the density (p). Now, assuming our 'spring modeľ of
resonance developed above is valid, we might logically write:
Vsound = c =
Where we define 'c' to be the speed of sound in air. Even if this logically makes
sense, we need to make sure it accurately models the physics of sound before we
can claim it to be "correct".
3.1: The first thing we should do is to check the units. Do the dimensional
analysis to make sure the units work out.
3.2: The air pressure (called the 'Barometric pressure') and air density are
measurable, but that is beyond the scope of this lab. These values change
with local atmospheric conditions, but generally: PB = 101x10³ Pa and pair =
1.23 kg/m³. Calculate c using the relation we reasoned out above. This is
your theoretically determined value for c (call it Cth).
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