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?
Given:
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
The answer is based on a curb weight around 4000, you would get
37,834.2 HP
I got 32110 with a curb weight of 4400
I love the Dodge Charger Hellcat
To calculate the amount of horsepower needed for the Challenger Hellcat Redeye Widebody to reach the speed of sound before the sound of its engine arrives, we need to consider the forces acting on the vehicle.
First, we need to calculate the total force (Fsum) required to overcome drag and rolling resistance. The total force consists of two components: drag force and rolling resistance.
1. Drag Force (Fdrag):
The drag force can be calculated using the formula: Fdrag = 1/2 * p * v^2 * CdA, where
- p is the air density (0.002377 slugs/ft^3)
- v is the velocity of the vehicle (1116.4 ft/sec)
- Cd is the drag coefficient (0.398)
- A is the frontal area of the vehicle (26.72 ft^2)
2. Rolling Resistance (Frolling resistance):
The rolling resistance force can be calculated using the formula: Frolling resistance = Crr * Weight, where
- Crr is the coefficient of rolling resistance (0.015)
- Weight is the curb weight of the stock Redeye Widebody.
Once we have the total force (Fsum), we can determine the horsepower required to achieve it at the given velocity.
3. Horsepower (HP):
The horsepower can be calculated using the formula: HP = Fsum * V/hp, where
- V is the velocity of the vehicle (1116.4 ft/sec)
- hp is the unit of power equivalent to one horsepower (550 ft-lbf/sec)
Remember to convert the units as necessary to ensure consistency.
By plugging in the given values and performing the calculations, you will be able to determine the horsepower required for the Challenger Hellcat Redeye Widebody to reach the speed of sound before the sound of its engine arrives.