Answer to Question #115958 in Classical Mechanics for Chrisel Joseph

Question

A. Particle moving in a circle of diameter 5 m .what is displacement when it covers one and half revolution

Answer 1

Let us draw the figure first,

Suppose the particle moving on the circle starting from $B$ of diameter $d=5m$ .

Now , after one complete revolution on the above circle particle reaches to the point $A$ again and in the next half revolution particle will reach to point $C$ ,Therefore, the displacement of the particle will be

the vector $\overrightarrow{BC}$ (Since displacement is the shortest distance between two points) and the magnitude of displacement will be $|\overrightarrow{BC}|=$ length of the diameter i.e

$$|\overrightarrow{BC}|=d\\ \implies |\overrightarrow{BC}|=5m$$

Hence, we are done.