Acar 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?

Data:

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

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

47 m/s

The reflection of the candle in the concave mirror formed an upside-down virtual image that is smaller than the candle.in other words. the answer is the third option, c