A pitot tube, mounted on an airplane flying at 8000 m standard altitude, reads a stagnation pressure of 52.2 kPa. Estimate (a) the velocity in mi/h and (b) the Mach number.

Answers

Answer 1

Answer:

[tex]524.31\ \text{mi/h}[/tex]

[tex]0.761[/tex]

Explanation:

[tex]p_0[/tex] = Stagnation pressure = 52.2 kPa

[tex]p[/tex] = Atmospheric pressure at 8000 m = 35.581 kPa (from chart)

M = Mach number

[tex]v_s[/tex] = Velocity of sound at 8000 m = 308 m/s

v = Velocity of airplane

We have the following equation

[tex]\dfrac{p_0}{p}=(1+0.2M^2)^{3.5}\\\Rightarrow M=\sqrt{\dfrac{1}{0.2}[(\dfrac{p_0}{p})^{\frac{1}{3.5}}-1]}\\\Rightarrow M=\sqrt{\dfrac{1}{0.2}[(\dfrac{52.2}{35.581})^{\frac{1}{3.5}}-1]}\\\Rightarrow M=0.761[/tex]

Mach number is given by

[tex]M=\dfrac{v}{v_s}\\\Rightarrow v=Mv_s\\\Rightarrow v=0.761\times 308\\\Rightarrow v=234.388\ \text{m/s}\times \dfrac{3600}{1609.34}=524.31\ \text{mi/h}[/tex]

The velocity of the airplance is [tex]524.31\ \text{mi/h}[/tex] and has a mach number of [tex]0.761[/tex].


Related Questions

An ideal gas, consisting of n moles, undergoes an irreversible process in which the temperature has the same value at the beginning and end. If the volume changes from Vi to Vf , the change in entropy is given by:______

Answers

Answer:

n R ln(Vf/Vi)

Explanation:

Entropy is the loss of energy available to do work. Entropy is a state function (i.e. it depends only upon the current state of the system and is independent of how that state was prepared).

Since the temperature change of the ideal is constant, hence this is an isothermal expansion of a perfect gas. The change in entropy (ΔS) for an isothermal expansion of a perfect gas is given by:

[tex]\Delta S=nR*ln(\frac{V_f}{V_i})[/tex]

Where n is the amount of gas molecules in mol and R is the gas constant in JK⁻¹mol⁻¹given by R = [tex]N_A[/tex]k, k is Boltzmann's constant in J K⁻¹ and Avogadro's constant [tex]N_A[/tex] in mol⁻¹. Vf is the final volume and Vi the initial volume.

How many flip-flop values are complemented in an 8-bit binary ripple counter to reach the next count value after: 0110111 and 01010110?

Answers

Answer:

- Four (4) flip-flop values will complemented

- one (1) flip-flop value will complemented

Explanation:

To find how many flip flop number of bits complemented, we just need to figure out what the next count in the sequence is and find how many bits have changed.

taking a look at the a) 00110111

we need to just 1 to the value,

so

00110111 +  0000001  = 00111000        

So here, only the first four bits are complemented.

Therefore Four (4) flip-flop values will complemented

Next

b) 01010110

we also add 1 to the value

01010110  + 00000001  = 01010111

only the first bit is complemented.

Therefore one (1) flip-flop value will complemented

An astronomer of 65 kg of mass hikes from the beach to the observatory atop the mountain in Mauna Kea, Hawaii (altitude of 4205 m). By how much (in newtons) does her weight change when she goes from sea level to the observatory?

Answers

Answer:

[tex]0.845\ \text{N}[/tex]

Explanation:

g = Acceleration due to gravity at sea level = [tex]9.81\ \text{m/s}^2[/tex]

R = Radius of Earth = 6371000 m

h = Altitude of observatory = 4205 m

Change in acceleration due to gravity due to change in altitude is given by

[tex]g_h=g(1+\dfrac{h}{R})^{-2}\\\Rightarrow g_h=9.81\times(1+\dfrac{4205}{6371000})^{-2}\\\Rightarrow g_h=9.797\ \text{m/s}^2[/tex]

Weight at sea level

[tex]W=mg\\\Rightarrow W=65\times 9.81\\\Rightarrow W=637.65\ \text{N}[/tex]

Weight at the given height

[tex]W_h=mg_h\\\Rightarrow W_h=65\times 9.797\\\Rightarrow W_h=636.805\ \text{N}[/tex]

Change in weight [tex]W_h-W=636.805-637.65=-0.845\ \text{N}[/tex]

Her weight reduces by [tex]0.845\ \text{N}[/tex].

Which of the following terms describes the path from an electrical source to a switch or plug?
transmitter
circuit breaker
raceway
breaker panel

Answers

Answer:

transmitter hope thus helped!

Explanation:

Raceway is the answer

"A raceway is an enclosed conduit that forms a physical pathway for electrical wiring."

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