Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w. (See the figure below and the Video.) Assume that w is a function of the sign width, b, sign height, h, wind velocity, V, air density, p, and an elastic constant, k, for the supporting pole. The constant, k, has dimensions of FL. Develop a suitable set of pi terms for this problem. SPEED LIMIT 40 @

Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w. (See the figure below and the Video.) Assume that w is a function of the sign width, b, sign height, h, wind velocity, V, air density, p, and an elastic constant, k, for the supporting pole. The constant, k, has dimensions of FL. Develop a suitable set of pi terms for this problem. SPEED LIMIT 40 @

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

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.
Use dimensional analysis and show that the expression e=mc^2 has a unit of energy.
Find the volume of the solid generated by revolving the region about the given line. The region in the first quadrant bounded by the liney=2, by the liney=72x, and by they-axis, about the liney=2.3196π314π398π328π. Please type answer note write by hend.
Please show all the work the equation and substitute &finials answers with units
The volume of a sphere is given byV=(4/3)πr^3, whereris the sphere’s radius. For solid spheres with the same density – made, for example, from the samematerial – mass is proportional to volume. The table below lists measures of deameterand mass for different steel balls. (a) Determine the quantity that, when you plot mass against it, should yield a straightline. (b) Make your plot, establish a best-fit line, and determine its slope (which in thiscase is proportional to the spheres’ density Diameter (cm) 0.75 1.0 1.56 2.16 2.54 Mass(g) 1.81 3.95 15.8 38.6 68.2
In the data for A dependence of R (Table 2b), by what factor (multiplier) did the diameter D increase from the thinnest to the thickest wire? Show the ratio calculation in support of your answer. By what factor did the area A increase? Show calculation. Are these factors consistent with how area A and the diameter D are related? If D doubles, by what factor would you expect the cross-sectional area to increase? D diameter (cm) 0.0175 0.0255 0.0315 0.0415 A area (cm^2) 2.41x10^-4 5.11x10^-4 7.79x10^-4 13.5x10^-4 V(volt) 0.945 0.898 0.850 0.777 I (Amp) 0.0214 0.0410 0.0600 0.0903 R Resistance (Ω) 44.2 21.9 14.2 8.60
One of the most frequently used devices for batch fermentations is the stirred tank. The power that should be applied to the stirrer (P) is a function of its rotation velocity (N) and diameter (D), density (ρ) and viscosity of the substrate, gravityacceleration (g), and time (t) since the beginning of operation. Demonstrate using the method for dimensional analysis of your choice that the power module (Po) is a function of the Reynolds (Re) number, Froude’s (Fr) number and time module (Nt)
For the system forces showed, calculate the magnitude of the resulting force from the forces F, P, and Q. In addition, determine in degrees the direction angles of this resultant force found. PROCESS:1. (25%) Decompose each of the shown forces into its rectangular components. For which use the method of projections with the force F and the two-point method of the line of action of the forces P and Q.
A simple physics formula is density equals mass divided by volume. In problem 2 above, the density was δ(x,y,z) = e^((x^2+y^2+z^2)^3/2).The volume of the object could be calculated from the equations for volumes of spheres and cones with some simple subtraction. Why do we need to do a triple integral to find the mass of the solid? Why can’t we just use the physics formula M = ρ ·V ? Explain when we need a triple integral to calculate mass, and when we can get away with the simple physics formula. Most importantly, explain how the triple integral of p*dV uses the same physics formula and explain what the idea of an integral means.
Imagine a very huge industrial metallic bucket is in the shape of the frustum of a right circular cone whose top and bottom diameters are 10 m and 4 m respectively and a height of 4 m. a) what is the curved surface area of the bucket? b) what is the volume of water if it’s to be filled to the brim if the thickness of the metal is 0.60 meters including the base?
The air resistance to the motion of a vehicle is something important that engineers investigate. As you may also know, the drag force acting on a car is determined experiementally by placing the car in a wind tunnel. For a given car, the experimental data is generally represented by a single coefficient that is called the drag coefficient. It is given by the relationship C(4)=F(d)/ 1/2 pV^2 (A) What is the appropiate unit for C, if the proceeding equation is to be homogeneous in units? show all steps of your work
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.