5) At the Istanbul, Turkey Formula-One (F-1) race circuit, F-1 race cars routine

Question

5) At the Istanbul, Turkey Formula-One (F-1) race circuit, F-1 race cars routinely maintain speeds of 265 km/hr when rounding turn number 8 on the circuit, where this tough turn is called, "Diabolica". When going around this turn, the race car drivers experience large lateral accelerations, with average values of 5 g's; where these large g-forces last for approximately 7 seconds. Assume that the cars execute uniform circular motion at constant radius when rounding Diabolica. Calculate the radius of Diabolic in meters. Choose the closest answer from those provided. Select one: a. 124 m; or b, 168 m. c. 82 m;

Explanation / Answer

Speed of the car = 265 km/hr = 73.611 m/s

so, the acceleration experienced is centripetal acceleration and is given by:

a = v2/r

=> 5 x 9.8 = (73.611)2/r

=> r = 110.6 m which is close to 124 meters [option a].

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