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?
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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)
4 answers
3211.8 (3212)
Thank you!
F_drag = 1/2 P V^2 C_DA = 0.5*0.002377*59^2*1555 = 6433 lbf
W = 3922000+150000+4451=4076451 lbs
7% grade = 4 degree
F_rolling= W*cos theta*Crr = 4076451*cos4*0.015=60998 lbf
F_weight=W *sin theta = 4076451*sin4=284359 lbf
F_sum = 6433+60998+284359=351790 lbf
P = F*V = 351790*59=20755610
hp = P/550 = 37737HP
W = 3922000+150000+4451=4076451 lbs
7% grade = 4 degree
F_rolling= W*cos theta*Crr = 4076451*cos4*0.015=60998 lbf
F_weight=W *sin theta = 4076451*sin4=284359 lbf
F_sum = 6433+60998+284359=351790 lbf
P = F*V = 351790*59=20755610
hp = P/550 = 37737HP
except the answer of 3211.8 or even rounding up isn't one of the multiple choice options for the Dodge Challenge this week; I've whittled it down to 35 multiple choices and nothing even close this posed answer is amongst them
4 answers