Answer:
5,813 HP
Step-by-step explanation:
P=f*v
f=1/2*p*v^2*C*A
HP=(f*v)/550
Answer:
He needed 3747.61 HP to reach 400 mph.
Step-by-step explanation:
Given data :
P (air density) = 0.0019 slug/ft³
A (Area) = 26.72 ft²
C(d) = 0.398
crr = 0.015
V = 400 mph = 587 ft/sec = 178.92 m/sec
weight = 2019 lb = 8980.96 N [1 pound = 4.44822 N]
[tex]P=\frac{Force\times Displacement}{Time}[/tex]
P = Force × Velocity = FV
F = F(sum) = F(drag) + F(rolling resistance)
F(drag) = [tex]\frac{1}{2}P\times V^2\times C(d)A[/tex]
F(rolling resistance) = weight × crr
[tex]HP=\frac{P}{1hp}[/tex] 1hp = 745.7 watts
F(drag) = [tex]\frac{1}{2}P\times V^2\times C(d)A[/tex]
[tex]=\frac{1}{2}\times 0.0019\times 587^{2} \times 0.398\times 26.72[/tex]
= 3481.23 [tex]\frac{slug\times ft}{sec^2}[/tex]
convert [tex]\frac{slug\times ft}{sec^2}[/tex] to [tex]\frac{kg\times m}{s^2}[/tex]
1 slug = 14.5939 kg
1 ft = 0.3048 m
[tex]\frac{slug\times ft}{sec^2}[/tex] = 14.5939 × 0.3048 = 4.448 [tex]\frac{kg\times m}{s^2}[/tex] or newton
Since F(drag) = 3481.23 × 4.448 N
= 15484.51 N
P = F(drag) × V
= 15484.51 × 178.92 N m/s
= 2770488.529 watts
F rolling resistance = crr × w
= 0.015 × 8980.96 N
= 134.714 N
Power = (Fdrag + Frolling resistance) × V
= (15484.51 + 134.714) × 178.92
= 15619.224 × 178.92
= 279459.558 watts
Power in HP
[tex]HP=\frac{P}{hp}[/tex]
[tex]=\frac{279459.558}{745.7}[/tex]
= 3747.61 HP
He needed 3747.61 HP to reach 400 mph.
