Question

A body is moving in a circular path with a constant speed if it has

• A. a constant velocity.
• B. a constant acceleration
• C. an acceleration of constant magnitude.
• D. an acceleration which varies with time in magnitude.

Answer 1

The correct option is C an acceleration of constant magnitude.

We know that
$a_c=\frac{v^2}{r}$ is constant in magnitude if $v$ is constant.
where $a_c$ is centripetal acceleration,
$v$ is speed and ‘$r$’ is the radius of the circle.

Direction of velocity vector and acceleration change constantly but the magnitude of acceleration is always constant.

Hence option C is the correct answer.