Question

A car moves on a circular road, describing equal angles about the centre in equal intervals of times which of the statements about the velocity of car

• A. velocity is constant
• B. magnitude of velocity is constant but the direction of velocity change
• C. both magnitude and velocity change
• D. velocity is directed towards the centre of circle

Answer 1

The correct option is B magnitude of velocity is constant but the direction of velocity change

Let the car describes an angle $\theta$ radian in time $t$ second.

$\therefore$ Angular velocity $w=\frac{\theta }{t}$ rad/s

Thus its linear velocity $v=rw=\frac{r\theta }{t}=constant$

As the linear velocity is tangential to the circular motion, thus it changes its direction at every instant.