Angular Displacement — Prelims Questions

A particle moves in a circular path of radius $0.5,\text{m}$. If it completes $2.5$ revolutions, what is its angular displacement in radians?

A wheel rotates with a constant angular velocity of $10,\text{rad/s}$. What is its angular displacement after $3,\text{seconds}$?

A point on the rim of a wheel of radius $0.2,\text{m}$ travels an arc length of $0.8,\text{m}$. What is the angular displacement of the wheel in degrees?

Which of the following statements about angular displacement is INCORRECT?

A particle starts from rest and undergoes angular acceleration of $2,\text{rad/s}^2$. What is its angular displacement after $4,\text{seconds}$?

A rigid body undergoes two successive angular displacements: first $30^circ$ clockwise about the z-axis, then $60^circ$ counter-clockwise about the z-axis. What is the net angular displacement?