A commercial jet is flying at a standard altitude of 35,000 ft with a velocity of 550 mph: (a) what is the Mach number? (b) should the flow be treated as incompressible, why or why not?

Answers

Answer 1

Answer:

Mach number = 0.68168

The flow should be treated as compressible.

Explanation:

Given that:

The altitude of a commercial jet = 35000

The properties of air at that given altitude are as follows:

Pressure = 24.577 kPa

Temperature T = 50.78176° C

Temperature T = ( 50.78176 + 273 )K = 328.78176 K

[tex]\varphi = 0.38428 \ kg/m^3[/tex]

The velocity is also given as: 550 mph = 245.872 m/s

Therefore, the sonic velocity is firstly determined by using the formula:

[tex]a = \sqrt{ \vartheta \times R \times T\[/tex]

[tex]a = \sqrt{1.4 \times 287 \times 323.78176[/tex]

[tex]a = \sqrt{130095.5112[/tex]

a = 360.68755 m/s

Then, we can calculate the Mach number by using the expression:

[tex]{Mach \ number = \dfrac{V}{a}}[/tex]

[tex]Mach \ number = \dfrac{245.872}{360.68755}[/tex]

Mach number = 0.68168

b) Ideally, all flows are compressible because the Mach number is greater than 0.3, suppose the Mach number is lesser than 0.3, then it is incompressible.


Related Questions

Before you calculate the moment capacity for a steel beam, you have to determine the classification of beam.

a. True
b. False

Answers

Answer:

True

Explanation:

True - because different classification of steel beam have different yield strength.

The moment capacity for a steel beam is given by;

M = Mn / Ωₙ

where;

M - the maximum moment acting on the beam

Ωₙ - is the Safety Factor for Elements in Bending = 1.67

Mn - nominal moment of the steel, given as

[tex]M_n = Z_x *f_y[/tex]

where;

Zₓ - the Plastic Section Modulus in the x or strong axis.

[tex]f_y -[/tex] is the Yield Strength of the Steel (A36W, A46 W or A50W)

A36W = 36 ksi

A46 W = 46 ksi

A50W = 50 ksi

Thus, before you calculate the moment capacity for a steel beam, you have to determine the classification of beam, for the yield strength of the steel beam.

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