You want to design an oval racetrack such that 3200 lb racecars can round the turns of radius 1000 ft at 1.00 _ 102 mi/h without

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3 years ago

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You want to design an oval racetrack such that 3200 lb racecars can round the turns of radius 1000 ft at 1.00 _ 102 mi/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 necessary for the racecars to navigate these turns at 1.00 _ 102 mi/h and without the aid of friction or other forces.

Physics

1 answer:

Svetradugi [14.3K] · Answer 1 · 2022-03-12T01:50:31+03:00

<span>v = (22/15)*98 = 143.7 ft/sec
For no friction, Θ = arctan[v²/(R*g)] = 32.68°

Anet = √[(v²/R + g²] = 33.2 ft/sec²
Af = Anet*sinΘ = 17.93 ft/sec²
Ff = m*Af = (3200/32.2)*Af = 1781.9 lb along the slope.
Fr = Ff*cosΘ = 1500 lb</span>Source(s):<span>Free body diagram
My 'cheat sheet' of physics formulae</span>