Question

A particle moves along a circle of radius $R=1m$ so that its radius vector $\overrightarrow{r}$ relative to a point on its circumference rotates with the constant angular velocity $\omega =2rad/s$. The linear speed of the particle is:

• A. $4m/s$
• B. $2m/s$
• C. $1m/s$
• D. $0.5m/s$

Answer 1

The correct option is B $2m/s$

Given that,

Radius $r=1m$

Angular velocity $\omega =2rad/s$

We know that,

$v=\omega r$

$v=2\times 1$

$v=2m/s$

Hence, the linear velocity is $2m/s$