Question

Even, in 1921, the Dodge Brothers built a boat named the SS Delphine and it had a whopping 3000 HP. 

So, how much horsepower would a Challenger SRT® Hellcat Redeye Widebody need to tow the SS Delphine up the industry standard: Davis Dam Grade Climb?

Pro Tips

Davis Dam assumed grade = 7%

Air density is sea level conditions (.002377 slugs/f^t3)

w(weight) of the SS Delphine + trailer + Redeye = 3,922,000 + 150,000 + 4451 Lbs

Crr = coefficient of rolling resistance = .015

Assume Combined CDA is 1555 ft^2

SAE J2807 (Davis Dam Grande Climb) - min speed is 40mpg (59 ft/s)

F(drag) = 1/2p x V^2 x C(d)A

F(rolling resistance) = W x cos x Crr

F(weight) = W x sin

F(sum) = F(drag) + F(rr) + F(weight)

P = F(sum)XV

convert to horsepower = P(1hp/550ft lbf/sec)

Answer 1

This problem I have solved.

Everything is given in the question itself.

The given grade is 7% this is equal to 7/100*360 =25.2 degrees

Thus,

Thus, F_sum = 1797428.9 lbs

(note that lbs and lbf are the same and are the imperial units for force)

In horsepower,