1. Kinematics

Circular Motion — Quiz

Test your understanding of circular motion with 5 practice questions.

Practice Questions

Question 1

A particle moves in a circular path with a constant radius $R$. Its angular position is given by $\theta(t) = A t^3 + B t^2$, where $A$ and $B$ are constants. What is the magnitude of its tangential acceleration at time $t$?

Question 2

An object is moving in a circular path with a constant radius $R$. Its angular speed is increasing at a constant rate. Which of the following statements about its net acceleration is true?

Question 3

In polar coordinates, the acceleration vector of a particle is given by $\vec{a} = (\ddot{r} - r\dot{\theta}^2)\hat{r} + (r\ddot{\theta} + 2\dot{r}\dot{\theta})\hat{\theta}$. For an object undergoing nonuniform circular motion with a constant radius $R$, what is the expression for its radial acceleration component, $a_r$?

Question 4

A particle moves in a circular path with a constant radius $R$. Its angular velocity is given by $\omega(t) = C t^2$, where $C$ is a constant. What is the magnitude of its tangential acceleration at time $t$?

Question 5

An object is moving in a circular path with a constant radius $r$. Its angular speed is decreasing at a constant rate. Which of the following statements about its tangential acceleration is true?