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Fluid Mechanics

Self study-4

1. A student wishes to design a manometer with better sensitivity than a water-filled U-tube of 

constant diameter. The students concept involves using tubes with different diameters and two

liquids, as shown. Evaluate the deflection h of this manometer, if the applied pressure differ-

ence is ∆P   = 5250N/m2. Determine the sensitivity of this manometer. Plot the manometer

sensitivity as a function of the diameter ratio  d2/d1.

2. A scooter tube inflated to the dimensions shown is used as a life preserver in lake. Find the

maximum weight that can be supported by it when it is immersed fully in water. A child sitting

on this tube floats with 80% of his body immerced. If the effective density of human body is

1073  kg/m3 estimate the weight of the child.

30 cm

10 cm

3. It is a common observation that ’swing’ bowlers in cricket like to maintain the shine on the ball

for as long as possible resorting at times to such unethical practices as application of ‘Vaseline’.why? Also, the bowlers seem to concentrate their efforts on only one half of the ball. which

half?

4. A child blowing soap bubbles observe that on blowing harder gets lot of small bubbles instead

of larger ones. Explain.