A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown in the figure. If he maintains constant speed of 10 m/s, what is his acceleration at point R in magnitude and direction?
A cyclist starts from centre O of a circular park of radius 1 km and moves along the path OPRQO as shown in the figure. If he maintains constant speed of 10 m/s, what is his acceleration at point R in magnitude and direction?

Answer:

The circular path has radius of km, with as the center and as the distance between the two points.
The biker is moving at speed of 10 meters per second.
As result, it is possible to say that the motion is a uniform circular motion at the point R.
As result, 1000 metres.
10 metres per second
Therefore, acceleration, ac = v2/R = 0.1 m/s2 along RO.