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Physics Question on Uniform Circular Motion

A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of a cyclist is :

A

6 km

B

√8 km

C

4 km

D

8 km

Answer

√8 km

Explanation

Solution

displacement

Since the cyclist travels along the circumference from point P to point S , which are opposite ends of the diameter of the circle, we can visualize the displacement as the straight-line distance between P and S.

1. Determine the Displacement:

  • The radius R of the circular ground is given as 2 km.
  • Points P and S form a diameter of the circle.
  • The displacement from P to S is the length of the diagonal of the square formed by the radii OP and OS.

Using the Pythagorean theorem, we find:
Displacement=R2=22=8 km.\text{Displacement} = R\sqrt{2} = 2\sqrt{2} = \sqrt{8} \, \text{km}.

Answer: 8 km\sqrt{8} \, \text{km}