Question #12941

Car of mass 200kg travels around a fat circular racetrack of radius 85m. The car starts at resy and its speed increases at constant rate, tangential acceleration:0.6ms^-2. What is the speed of the car when its centripetal and tangential acceleration are equal?

Expert's answer

at = 0.6 m/s^2. Since at = ar,

ar = V^2 / r

V = sqrt(ar * r) = sqrt(at *

r)

V = sqrt(0.6 * 85) = 7.14 m/s

ar = V^2 / r

V = sqrt(ar * r) = sqrt(at *

r)

V = sqrt(0.6 * 85) = 7.14 m/s

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