Question

In: Physics

How much horsepower would a car need to tow a boat up the Davis Dam Grade...

How much horsepower would a car need to tow a boat up the 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 boat + trailer + car = 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)

Expert Solution

genius_generous answered 1 year ago

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