Please see the attached file for better formula representation.

A three-dimensional bow shock wave is generated by the Shuttle Orbiter during atmospheric re-entry. However, there is a region where the shock wave is essentially normal tot he freestream flow. The velocity of the shuttle is 7.62 km/s at an altitude of 75.0 km. The freestream temperature and the static pressure at this altitude are 200.15K and 2.5 Pa, respectively. use the normal shock relations to calculate the values of the following parameters downstream of the normal shock wave:
a. static pressure
b. static temperature
c. Mach number
d. stagnation pressure
e. stagnation temperature
f. explain why the temperature predictions are not actually valid

Use can be made of the following normal shock wave relations: (see attachment).

a) Assuming the air to be an ideal gas, the ratio of specific heats will be the same as that one used in common engineering applications:
(1)
Using the second of the given formulas, we will have:
(2)
The number M1 can be computed using formula:
...

Solution Summary

This solution contains step-by-step calculations to determine multiple parameters of the bow shock wave such as static pressure, static temperature, Mach number, stagnation pressure, and stagnation temperature.

A wave causes a displacement y that is given in meters according to y=(0.45) sin (8.0 * 3.14t - 3.14x), where t and x are expressed in seconds and meters.
a.) What is the amplitude of the wave?
b.) what is the frequency of the wave?
c.) What is the wavelength of the wave?
d.) What is the speed of the wave?
e.) Is th

An archer pulls the bowstring back for a distance of 0.470 m before releasing the arrow. The bow and string act like a spring whose spring constant is 425 N/m.
(a) What is the elastic potential energy of the drawn bow?
(b) The arrow has a mass of 0.0300 kg. How fast is it traveling when it leaves the bow?

An arrow, starting from rest, leaves the bow with a speed of 25.0 m/s. If the average force exreted on the arrow by the bow were doubled, all else remaining the same, with what speed would the arrow leave the bow?

1) A transverse traveling wave on a cord is represented by D = 0.48 sin (5.6x +84t) where D and x are in meters and t in seconds. For this wave determine (a) the wavelength (b) the frequency (c) velocity (magnitude and direction) (d) amplitude and (e) maximum and minimum speeds of particles of the cord.

The diagrams attached represent the polarization states of light. In each case the wave is traveling along the x-axis in the positive x direction.
i) Which diagram represents linear polarized light at 45 degrees?
ii) Which diagram represents left circular light? Explain.
iii) Which diagram represents un-polarized light?

1. Two waves are traveling through the same container of nitrogen gas. Wave A has a
wavelength of 1.5 m. Wave B has a wavelength of 4.5 m. The speed of wave B must be________ the speed of wave A.
a. one-ninth
b. one-third
c. the same as
d. three times larger than
2. As the wavelength of a wave in a uniform medium inc

Some parameters which all traveling waves have include its wavelength (lambda), period T, wave speed v, amplitude ym, etc. ATTACHMENT #1 is a diagram of a typical wave, a sine curve, with points A, B, etc. identifying various points and lengths of a wave.
PART a. On ATTACHMENT #1, in the spaces shown after the parameters listed

A water wave is called a deep-water wave if the water's depth is more than 1/4 of the wavelength. The speed of a deep water wave depends on its wavelength:
v = sqrt((g.lambda)/2pi).
Longer wavelengths travel faster. Let's apply to this to a standing wave. Consider a diving pool that is 5.0 m deep and 10.0 m wide. Standing w