(10 pts) A U-tube open at both ends is partially filled with water. Oil having a

Question

(10 pts) A U-tube open at both ends is partially filled with water. Oil having a density of 750 kg/m3 is then poured into the right arm and forms a column L = 6.00 cm high. 7. a. Determine the difference h in heights of the two liquids surfaces Oil b. The right are is then shielded from any air motion, while air is blown across the top of the leftarm until the surfaces ofthe two liquids are at the same height. Determine the speed of the air being blown across the left arm, given than the density of air is 129 kg/ Shield

Explanation / Answer

7. a)

density x g x height of the oil = density x g x h of the water

750 x 6cm = 1000 x h

So the height of water, h = 750 x 6 / 1000 = 4.5 cm

The difference = 6 - 4.5 = 1.5 cm

b) The gauge pressure of the in the tube = p*g*h = 750 x 9.8 x 0.06 = 441 Pa

so the dynamic pressure must equal this value

Therefore, 0.5 x p x v^2 = 441 Pa

So, v = sqrt (2x441/1.29) = 26.148 m/s

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