Fluid Statics
Example 6:

An empty cylindrical bucket with negligible thickness and weight is forced with its open end first into water until its lower edge is 4m below the water level. If the diameter and length of the bucket are 0.3m and 0.8m respectively and the trapped water remains at constant temperature. What would be the force required to hold the bucket in that position atmospheric pressure being 1.03 N/cm 2

Solution :

Let, the water rises a height x in the bucket

By applying the Boyle's Law at constant temperature we have


Also, Downward pressure ion the bucket,
Solve for, p 1 and x.
               

Fig. Ex6
 
     

Total upward force exerted by the trapped water      
Downward force due to the overlying water and the Atmospheric Pressure

                        2
Answer:              1.62KN

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