A system that dispenses fluid into a bottle currently uses a solenoid operated valve. This has...

A system that dispenses fluid into a bottle currently uses a solenoid operated valve. This has the effect of a sudden opening of the valve and a sudden closing. The valve is open for a period of 1.5seconds and it opens the valve by 20mm (the flow rate is proportional to the distance the valve is opened).

Because the environment is so corrosive and humid, the electronic valve system keeps failing. Therefore, it has been decided to use an equivalent mechanical valve operated by a cam.

The profile for the cam will be a symmetrical triangle defined by the base (in seconds) and height (in mm).

A triangular profile is used because the cam moves slowly and the jerk is not a major issue. Still it is desired to keep all forces to a minimum.

The total time that the bottle sits under the valve is 18seconds. However, there is a fixing period of 5seconds that the valve must be closed for.

What is the height of the triangular profile in mm that corresponds to the lowest forces and the same amount of liquid being dispensed by the valve?

1% error is allowed for in your answer. Round to 1 decimal place.

Correct Answer:

[Correct] 4.6 ± 1%

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Expert Solution

samet mamat answered 1 year ago

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