A large tank is filled with incompressible oil to a depth of 643 nt. The tank is

Question

A large tank is filled with incompressible oil to a depth of 643 nt. The tank is being drained via a horizontal pipe (radius1.92 cm) attached 0.789 m above the tank bottom. Oil is flowing out through the pipe at a rate of 2.34 x 10^3 m^-3/s, but the tank is so large that the descent speed of the oil level is negligible .The gauge pressure in the drain pipe is 5.16 x 10^4 Pa. The tank's top is open. A remote sensor (a sealed box of instruments) is to be placed into the oil. If the sensor has an overall density of 758 kg/m^3, what percentage of its volume if any, will remain exposed (ie. Floating above the oil's surface)?

Explanation / Answer

let the density of oil you've found be Po.then the weight of the sensor will displace the weight of oil which is equal to sensor weight.let the volume of oil be Vo and volume of sensor be Vs

Po*g*Vo=758*g*Vs

Vo/Vs=758/Po

this ratio is the volume of sensor in the oil

the percentage exposed to air will be

(1-Vo/Vs)*100

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