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

To find the speed of the follower after the cam has rotated 60 degrees, we need to calculate the total rise and fall of the follower and the total time it takes to complete the program. Given the rise and fall heights and their corresponding times, we can calculate the average speeds for each segment. Then, by adding all the rises and subtracting all the falls, we can find the net rise of the follower. Finally, we can divide the net rise by the total time to find the speed in inches per second.

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.
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