Kinematics of Rotational Motion — Prelims Questions

A wheel starts from rest and accelerates uniformly to an angular velocity of $10,\text{rad/s}$ in $5,\text{s}$. What is its angular displacement during this time?

A point on the rim of a wheel has a tangential speed of $20,\text{m/s}$. If the radius of the wheel is $0.5,\text{m}$, what is the angular velocity of the wheel?

A grinding wheel is rotating at $120,\text{rpm}$ and is then brought to rest in $10,\text{s}$ by a constant angular deceleration. What is the angular deceleration of the wheel?

A rigid body rotates about a fixed axis. Which of the following statements is true regarding the linear speed of its particles?

A particle moves in a circle of radius $R$ with constant angular velocity $omega$. What is the magnitude of its total linear acceleration?

A wheel completes $100$ revolutions in $5,\text{s}$. Assuming constant angular velocity, what is its angular velocity in rad/s?