Linear velocity is nothing more than the velocity of an object in a straight line, whereas angular velocity is how much an objects spins, rotates, or turns.
Video: Use Angles to Model and Solve Real-Life Problems (Links to an external site.)
Problems Linear and Angular Velocity
Clock Hands: The angular velocity is independent of the clock size, however for larger clocks the linear velocity of the pointers at the end of the hands will be greater. The second hand goes through 2π radians in 1 min, or 2π radian/60 seconds, so ω = π/30 rad.
How to calculate angular speed of second, minute and hour hand