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Question 11
FIGURE 11.1 below shows a hydraulic lift. The lift needs to raise a maximum load of 34 000 N at the ram with a diameter of 250 mm. The force applied on the plunger i... show full transcript
Step 1
Answer
To calculate the fluid pressure in the hydraulic system, we can use Pascal's principle which states that pressure is defined as force per unit area. The formula for pressure () is given by:
Where:
First, we need to determine the area of the ram:
The diameter of the ram () is 250 mm, which we convert to meters:
The radius () is therefore:
The area () is:
Now we can calculate the pressure:
Step 2
Answer
To determine the diameter of the plunger, we again use Pascal's principle. The pressure in both the ram and plunger is equal. The pressure from the plunger is given by:
Using the pressure we calculated earlier:
From this, we can solve for the area of the plunger:
Now, we can find the diameter () of the plunger:
Rearranging gives:
Substituting in our area:
Converting to mm:
Step 3
Step 4
Step 5
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