Calculate Cam Follower Speed After 60 Degree Rotation
What is the speed, v, in inches/sec of the follower after the cam has rotated θ = 60° from the start of the first program?
To find the speed of the follower after the cam has rotated 60 degrees, calculate the total rise and fall and the total time for the program. Average speeds for each segment are determined, and by adding the rises and subtracting the falls, the net rise is found. The speed of the follower is then calculated by dividing the net displacement by the total time is 0"/s.
Explanation
Calculations
Rise 1: 0.75" in 0.25s (average speed = 0.75/0.25 = 3"/s)Fall 1: 0.5" in 0.5s (average speed = 0.5/0.5 = 1"/s)
Rise 2: 0.5" in 0.5s (average speed = 0.5/0.5 = 1"/s)
Fall 2: 0.75" in 0.25s (average speed = 0.75/0.25 = 3"/s)
Dwell: 0.5s (no movement, speed = 0"/s) The net displacement = (0.75 + 0.5 - 0.5+0.75) = 0". The total time = 0.25 + 0.5 + 0.5 + 0.25 + 0.5 = 2s. Therefore, the speed of the follower after rotating 60 degrees is 0"/2s = 0"/s.