Question

A car moves clockwise around a circular path with radius 74.4 m.
The car started from rest at the point farthest to the west on the
path, and has a constant tangential acceleration of 2.50
m/s^{2}.

1, After the car has traveled one-fourth of the circumference, what is the speed of the car?

2. At this point, what is the radial acceleration component of the car?

3. At this same point, what is the magnitude of the total acceleration of the car?

Answer #1

Solution:

Given,

radius of path r=74.4m

(a)

The car has travelled 1/4th of the circumference , So the distance travelled by the car is given by,

The car has a tangential accleration at this point. Since the car started from rest, u =0. Let the velocity be v at this point.

(b) The radial acceleration component of the car at this point is given by,

(c)

The total resultant acceleration of the car is given by,

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