Santa's sleigh currently runs at 203mph, but he needs it to reach 400mph with all the packages he has to deliver.
If Santa 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?
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 = P ( 1HP/550 ft lbf/sec)
4 answers
3715 hp
0.5 x 0.0019 x sqr(587) x 0.398 x 26.72 = 3,481.12
3481.12 x 587 = 2,043,419.03
2,043,419.03 / 550 = 3715
you're welcome!
3481.12 x 587 = 2,043,419.03
2,043,419.03 / 550 = 3715
you're welcome!
3700 hp
He flies at 7,200 mph according to my math not reflected by this equation.
4 answers