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).

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 70CP: Parcels of air (small volumes of air) in a stable atmosphere (where the temperature increases with...

See similar textbooks

Similar questions

The aircraft fuselage can be approximated as a circular cylinder for non-viscous aerodynamicanalysis. Given that the surface velocity of inviscid flow around a circular cylinder is:V = 2U∞sinθWhere q = 0 is a point on the axis of symmetry, show that the maximum dynamic pressure on thecylinder amounts to: 2 ρU∞2If P∞ at some distance upstream of the cylinder is 100kPa, and U∞ is 50m/s, determine the minimumstatic pressure on the cylinder surface for an air flow with density 1.225kg/m3
In testing a new material for shielding spacecraft, 126 small ball bearings, each moving ata supersonic speed of 410.1 m/s, collide headon and elastically with the material during a0.803 min interval.If the bearings each have a mass of 7.6 gand the area of the tested material is 0.77 m2,what pressure is exerted on the material?Answer in units of Pa.
Consider the sealed containers (same fluid and on the same ground level) below with heights given in a and b values.Provided that b = 2a, answer the following items. If a = 2 in, and the density of the fluid is 60 lbm/ft^3, what is the pressure at point B in psia?
A 3xz-bl box is held at a rest on a smooth plane by a force P inclined at an angle θ with the plane as shown below. if θ = 4y°, determine the value of P and the normal pressure N exerted by the plane.
Prove that, the dimensional analysis of the physical quantities Force,Pressure and Energy are , and respectively.
Suppose a 3.00-N force can rupture an eardrum. (a) If the eardrum has an area of 1.00 cm2 , calculate the maximum tolerable gauge pressure on the eardrum in newtons per meter squared and convert it to millimeters of mercury. (b) At what depth in freshwater would this person's eardrum rupture, assuming the gauge pressure in the middle ear is zero? Strategy for (a) The pressure can be found directly from its definition since we know the force and area. We are looking for the gauge pressure.
An important design consideration in two-phase pipe flow of solid-liquid mixtures is the terminal settling velocity below, which the flow becomes unstable and eventually the pipe becomes clogged. On the basis of extended transportation tests, the terminal settling velocity of a solid particle in the rest water given by VL = FL√2gD(S − 1), where FL is an experimental coefficient, g the gravitational acceleration, D the pipe diameter, and S the specific gravity of solid particle. What is the dimension of FL? Is this equation dimensionally homogeneous?
Consider the van der Waals potential U(r)=U0[( R 0 r)122( R 0 r)6] , used to model the potential energy function of two molecules, where the minimum potential is at r=R0 . Find the force as a function of r. Consider a small displacement R=R0+r and use the binomial theorem: (1+x)n=1+nx+n( n1)2!x2+n( n1)( n2)3!x3+ , to show that the force does approximate a Hooke’s law force.
The old rubber boot below has leaks. To what maximum height can water squirt from Leak 1? How does the velocity of water emerging from Leak 2 differ from that of Leak 1? Explain your responses in terms of energy.
Parcels of air (small volumes of air) in a stable atmosphere (where the temperature increases with height) can oscillate up and down, due to the restoring force provided by the buoyancy of the air parcel. The frequency of the oscillations are a measure of the stability of the atmosphere. Assuming that the acceleration of an air parcel can be modeled as 2zt2=g(z)0zz , prove that z=z0etN2 is a solution, where N is known as the Brunt-Väisälä frequency. Note that in a stable atmosphere, the density decreases with height and parcel oscillates up and down.
Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .
In the absence of compressed liquid tables, how is the specific volume of a compressed liquid at a given P and T determined?