Question

A cyclist completes one round of circular track of radius R= 20m. What will be the total distance and displacement covered by him?

Answer 1

Explanation:

As per the provided information in the given question, we have :

• A cyclist completes one round of circular track of radius R= 20m.

We are asked to calculate the distance travelled and the displacement. $\;$

Let us say that the body starts from point A , after completing 1 round, it'll come to point A. Therefore, the circumference of the circular track will be the distance travelled by him.

➝ Distance travelled = Circumference

➝ Distance travelled = 2πr

➝ Distance travelled = 2 × ²²/₇ × 20 m

➝ Distance travelled = ⁸⁸⁰/₇ m

➝ Distance travelled = 125.71 m

Now, we have to calculate the displacement. Displacement is the shortest distance from the body's initial to final position. Here, the body's initial position is A, and after completing 1 round, it'll come again come back to point A. Thus, its initial and final position is same. So, the displacement is 0.

➝ Displacement = 0

∴ The distance covered by him is 125.71 m and the displacement is 0 m.