If Goldberg is delivering presents at an altitude of 5,813.6ft, with the same drag and weight of a 2019 Challenger SRT Hellcat Redeye, how much HP would he need to reach 400 mph? Pro Tips • 100% driveline efficiency • P (air density) at 5813.6 ft = .0019 slug/ft^3 • A (Area of Challenger front end) = 26.72 ft^2 • C(d) (Coefficient of drag) = .398 • Goldberg's sleigh required speed, 400 MPH = 587 ft/sec • F(drag) = 1/2 p X v^2 x C(d)A • P = F(drag) x V • Convert to Horsepower = PC 1HP/550 ft lbf/sec)
Amazing what questions people can come up with !
I have a Challenger SRT.
I worked on this. Been out of school too long.
Intriguing question but I am not smart enough to figure it out.
Hoping some of the smarter people out there do this.
Thank guys. Last thing I need is more speed.
F(drag) = 0.5 x 0.0019 x sqr(587) x 0.398 x 26.72 = 3481
P = 3481.12 x 587 = 2043419
Hp = 2043419 / 550 = 3715
To calculate how much horsepower Goldberg would need to reach 400 mph at an altitude of 5,813.6 ft, we'll use the formula provided: P = F(drag) * V, where P is power (in horsepower), F(drag) is the drag force, and V is velocity (in ft/sec).
First, let's calculate the drag force using the formula F(drag) = 0.5 * p * v^2 * C(d) * A, where p is air density, v is velocity, C(d) is the coefficient of drag, and A is the area of the Challenger front end.
Given:
- p (air density at 5813.6 ft) = 0.0019 slug/ft^3
- v (Goldberg's sleigh required speed) = 587 ft/sec
- C(d) (Coefficient of drag) = 0.398
- A (Area of Challenger front end) = 26.72 ft^2
Using these values, we can calculate F(drag):
F(drag) = 0.5 * 0.0019 * 587^2 * 0.398 * 26.72
Now let's calculate the power (P):
P = F(drag) * V
Substituting the values we've calculated:
P = (0.5 * 0.0019 * 587^2 * 0.398 * 26.72) * 587
Finally, let's convert the power to horsepower:
Horsepower = P / 550 ft lbf/sec
To get the final answer, plug in the calculated value of P into the equation.
Following these calculations, you'll be able to determine how much horsepower Goldberg would need to reach 400 mph at the given altitude.