A sports car has a drag coefficient of 0.29 and a frontal area of 20 ft2, and is travelling at a speed of 120 mi/hour. How much power is required to overcome aerodynamic drag if 휌= 0.002378 slugs/ft3

Respuesta :

Answer:

Power required to overcome aerodynamic drag is 50.971 KW

Explanation:

For explanation see the picture attached

Ver imagen madihasaadmamoon

In this exercise we have to calculate the drag coefficient and the power it will have

A) [tex]F_D= 950.166 N[/tex]

B) [tex]P= 50.971 Kw[/tex]

Using aerodynamic concepts we will have:

[tex]F_D[/tex]: Drag force on a body

This can be write as:

[tex]F_D= C_D(1/2)(\rho)(V^2)(A)[/tex]

Where:

  • [tex]C_D[/tex]: Drag coefficient equal to [tex]0.290[/tex]
  • [tex]\rho[/tex]: Density equal to [tex]0.002378[/tex]
  • [tex]V[/tex]: Velocity equal to [tex]120[/tex]
  • [tex]A[/tex]: Area (frontal) equal to [tex]20 \ ft^2[/tex]

We need to convert some units, this way we will have how:

For density we have:

[tex]0.002378 lug/ ft^3= 1.2255 \ Kg/m^3[/tex]

For velocity we have:

[tex]120 \ mph= 53.645 m/sec[/tex]

For Area we have:

[tex]20 ft^2 = 185. 806 m^2[/tex]

After the conversions, performing the calculations becomes simple:

[tex]F_d = (0.29)(0.50)(1.2255)(53.645)(185806)\\F_D= 950.166 N[/tex]

Now, power required to overcome drag force, will be;

[tex]P= F_D V\\= (950166)(53645)= 50.971 Kw[/tex]

See more about aerodynamic at brainly.com/question/3800219

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