Linear And Angular Velocity


             The angular velocity of a particle traveling on a circular path is the        ratio of the angle traversed to the amount of time it takes to traverse       that angle.Angular velocity is a measure of the angular displacement           per unit time.

      formula:
                          Angular Velocity w of the point are related by the formula :
                                                                     
            We define linear velocity, v, to be  where w is angular velocity in radians                           and r is the radius.

Problem 1: (Hazel Dayupay)

     A winch of radius of  2 feet is used to lift heavy loads.If the winch makes 8 revolutions every 15 seconds.

Find the speed at which the load is rising.

SOLUTION:

  a.  Angular 

                

                  

b.     Velocity

               

                               

Problem 2:(Darvi Quema)

       A photographed record is turning 45 revolution per minute.If the distance from the center of the record point on the edge of the record is 3 inches,Find the angular velocity and linear velocity of the point per minute.

Solution: