Thursday, July 9, 2009

Gauge pressure and water and oil interface with floating block?

A cubical block of wood 10 cm on a slide floats at the interface between oil and water with its lower surface 2 cm below the interface. The density of the oil is 750 kg/m^3.





a. whats is the gauge pressure at the upper face of the block?


b. what is the gauge pressure at the lower face of the block?


c. what is the mass of the block? (height of oil column = 10cm, height of water column = 10cm)





figure of the block: http://img520.imageshack.us/img520/4825/...

Gauge pressure and water and oil interface with floating block?
Gauge pressures measured with respect to the top of the oil, which is 2cm abover the top surface.





a) Pabove = rhooil g (2cm)


b) Pbelow = rhooil g 10cm + rhowater g 2cm





weight = (Pbelow - Pabove) * A





mass = weight / g





= (rhooil * 8cm + rhowater * 2cm) * 10cm^2





I'll let you plug in the densities and finish up.


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