A race car starts from rest on a circular track of radius 578 m. The car's speed

Question Description

A race car starts from rest on a circular track of radius 578 m. The car's speed increases at the constant rate of 0.740 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following. 

(a) the speed of the race car 

(b) the distance traveled 

( c) the elapsed time 

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Final Answer

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Centri. accl = v^2/r = 0.74

solving we get    (a)   velocity of car  = 20.68 m/sec

(C) v = u+at ; 20.68 = 0.74 t or we get   time = 27.94 sec   or 28 sec

B)   distance traveled = S = 0.5 * 0.74 * 27.94^2  = 288.84 m

A: 20.68 m/s

B : 288.84 m

C : 28 sec

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