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How much horsepower would A high performance car need to run the speed of sound arrive before the sound of its engine arrives? Assuming 4514 lb curb weight Assume no wind Assume no driveline losses of vehicle travelling at the speed of sound (760 MPH - 1116.4ft/sec) What you need to know: HP Fsum x V/hp F drag 1/2 pv*2 CdA F rolling resistance Crr x Weight F sum F drag +F rolling resistance cd .398 A 26.72 FtA2 Crr .015 p.002377 slugs/ft 3

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opudodennis

Answer:

32112.76

Explanation:

Weight=4514

Speed, v=1116.4 ft/s

[tex]F_{drag}=0.5\rho v^{2}C_d A[/tex] where[tex]\rho=0.002377 slugs/ft^{3}[/tex], [tex]C_d=0.398[/tex], [tex]A= 26.72 ft^{2}[/tex]

[tex]F_{drag}=0.5\times 0.002377\times (1116.4)^{2}\times 0.398\times 26.72=15752.8 lbs[/tex]

[tex]F_{rolling}=C_{rr}\times weight=0.015\times 4514=67.71[/tex]

[tex]F_{sum}=F_{drag}+F_{rolling}=15752.8+67.71=15820.51 lbs[/tex]

[tex]HP=F_{sum} \times \frac {v}{550 ft.lb/sec}[/tex]

[tex]HP=\frac {15820.51\times 1116.4}{550}=32112.76[/tex]

tifanihayyu

Horsepower would A high performance car need to run the speed of sound arrive before the sound of its engine arrives? 32099.855

Explanation:

How much horsepower would A high performance car need to run the speed of sound arrive before the sound of its engine arrives?

  • Assuming 4514 lb curb weight
  • Assume no wind
  • Assume no driveline losses of vehicle travelling at the speed of sound (760 MPH - Miles per hour is the number of statute miles covered in one hour- 1116.4ft/sec)

What you need to know:

  • HP = Fsum x V/hp
  • F drag = 1/2 pv^2 CdA
  • F rolling resistance = Crr x weight
  • Rolling resistance is the force resisting the motion when a body for example the wheel rolls on a surface.
  • F sum = F drag + F rolling resistance
  • Cd = 0.398
  • A = 26.72 Ft^2
  • Crr = 0.015
  • p= 0.002377 slugs/ft^3  (1 slugs / (foot^3) =  515.378818 kg / m^3)

Horsepower is the power measurement unit or the rate at which work is done. Whereas the speed of sound is the distance traveled per unit time by the sound wave as it propagates through the elastic medium.

F rolling resistance [tex]= 0.015 * 4514 = 67.71[/tex]

F drag = [tex]\frac{1}{2} pv^2 CdA = \frac{1}{2} * 0.002377 * 1116.4^2* 0.398 * 26.72 = 15752.82[/tex]

F sum [tex]= 67.71 + 15752.82 = 15820.53[/tex]

HP [tex]= 15820.53 * \frac{1116.4}{550 ft.lb/sec} = 32099.855[/tex]

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