A car drives on a circular track with a constant speed of 84 m/s. The track has a radius of 225 m. What is the centripetal acceleration of the car? What is the acceleration of the car measured in g? What speed would give the car an acceleration of 9.8 m/s2?

Question

Physics

Aidan Norman

22 August, 22:47

A car drives on a circular track with a constant speed of 84 m/s. The track has a radius of 225 m. What is the centripetal acceleration of the car? What is the acceleration of the car measured in g? What speed would give the car an acceleration of 9.8 m/s2?

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Answers (1)

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Emilio Bush · Answer 1

dа ta:

a) v = 84 m/s

r = 225 m

Ac = ?

b) Ac = 9.8 m/s^2

v = ?

Formula: Ac = v^2 / r

Solution

a) Ac = (84 m/s) ^2 / (225 m) = 31.36 m/s^2

To measure it in terms of g, divide by g = 9.8 m/s^2

=> Ac = 31.36 m/s^2 / [ 9.8 m/s^2 / g] = 3.2 g

Answer: Ac = 3.2 g

b) Ac = 9.8 m/s^2

v^2 = Ac * r = 9.8 m/s^2 * 225 m = 2,205 m^2 / s^2

=. v = 46.96 m/s ≈ 47 m/s

Answer: 47 m/s