How much horsepower would the Challenger Hellcat Redeye Widebody need to run the speed of sound arrive before the sound of its legendary engine arrives?
Pro Tips
Assume Stock Redeye Widebody curb weight
Assume no wind
Assume no driveline losses
Redeye 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 Ft^2
Crr = .015
p= .002377 slugs/ft^3
To calculate the amount of horsepower the Challenger Hellcat Redeye Widebody would need to reach the speed of sound before the sound of its engine arrives, we can follow these steps:
1. Determine the total force required to achieve the speed of sound.
The total force can be calculated by considering the drag force and rolling resistance force acting against the car. The equation for drag force is Fdrag = 1/2 ρv^2 CdA, where ρ is the air density, v is the velocity, Cd is the drag coefficient, and A is the frontal area of the car. The rolling resistance force can be calculated using the equation Frr = Crr x Weight, where Crr is the coefficient of rolling resistance and Weight is the curb weight of the stock Redeye Widebody.
2. Calculate the total force needed to reach the speed of sound.
The total force (Fsum) is the sum of the drag force (Fdrag) and rolling resistance force (Frr). Therefore, Fsum = Fdrag + Frr.
3. Convert the speed of sound from mph to ft/sec.
The speed of sound is given in mph, but we need it in ft/sec for the calculations. 760 mph is equivalent to 1116.4 ft/sec.
4. Solve for horsepower (HP).
The equation for horsepower is HP = Fsum x V/hp, where Fsum is the total force calculated in step 2, V is the velocity (speed of sound), and hp is the conversion factor.
Given the provided values:
Cd = 0.398
A = 26.72 ft^2
Crr = 0.015
p = 0.002377 slugs/ft^3
Speed of sound = 1116.4 ft/sec
We can use these values and the above steps to calculate the horsepower required.