A system that dispenses fluid into a bottle currently uses asolenoid operated valve. This has the effect of a sudden opening ofthe valve and a sudden closing. The valve is open for a period of1.5seconds and it opens the valve by 20mm (the flow rate isproportional to the distance the valve is opened).
Because the environment is so corrosive and humid, theelectronic valve system keeps failing. Therefore, it has beendecided to use an equivalent mechanical valve operated by acam.
The profile for the cam will be a symmetrical triangle definedby the base (in seconds) and height (in mm).
A triangular profile is used because the cam moves slowly andthe jerk is not a major issue. Still it is desired to keep allforces to a minimum.
The total time that the bottle sits under the valve is18seconds. However, there is a fixing period of 5seconds that thevalve must be closed for.
What is the height of the triangular profile in mm thatcorresponds to the lowest forces and the same amount of liquidbeing dispensed by the valve?
1% error is allowed for in your answer. Round to 1 decimalplace.
Correct Answer:
[Correct] 4.6 ± 1%
