You want to design an oval racetrack such that 3200 lb racercars can round the t

Q: You want to design an oval racetrack such that 3200 lb racercars can round the t

solution: v = (22/15)*98 = 143.7 ft/sec ,convert mi/h to ft/sec =(98*5280)/3600 For no friction, = arctan[v²/(R*g)] = 32.68° ans 1 Anet = [(v²/R + g²] = 33.2 ft/sec² Af = Anet*sin = 17.93 ft/sec² Ff = m*Af = (3200/32.2)*Af = 1781.9 lb along the slope. Fr = Ff*cos = 1500 lb ans2

ID: 581702 • Letter: Y

Question

You want to design an oval racetrack such that 3200 lb racercars can round the turns of radius 1000ft at 98mi/h without the aid of friction. You estimate that when elements like downforce and grip in the tires are considered the cars will round the turns at a maximum of 175 mi/h. Find the banking angle theta necessary for the racecars to navigate these turns at 98mi/h and without the aid of friction.

Degress__________

This banking and radius are very close to the actual turn data at Daytona International Speedway where 3200lbs stock cars travel around the turn at about 176 mi/h. What additional radial force is necessary to hold the racecar on the track at 175 mi/h?

N___________

Explanation / Answer

solution:

v = (22/15)*98 = 143.7 ft/sec ,convert mi/h to ft/sec =(98*5280)/3600
For no friction, = arctan[v²/(R*g)] = 32.68° ans 1

Anet = [(v²/R + g²] = 33.2 ft/sec²
Af = Anet*sin = 17.93 ft/sec²
Ff = m*Af = (3200/32.2)*Af = 1781.9 lb along the slope.
Fr = Ff*cos = 1500 lb ans2

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You want to design an oval racetrack such that 3200 lb racercars can round the t

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