At a dental appointment, the dentist will usually stick a tube in your mouth to suck up any extra saliva. A sketch of this kind of suction device is shown below. The device works by flowing water with a velocity, vw = 0.15 m/s through a pipe with diameter, D = 2 cm. The water in the pipe then moves through a constriction with a smaller diameter, d = 1 cm, which drops the water pressure to an absolute value of 5290 Pa. The tube that is placed in your mouth is attached to the pipe at the center of the constriction. Assume your mouth is open to the atmosphere and saliva has the density of water (ρ = 1000 kg/m3 ). What is the maximum height, H, the pipe can be placed above you so your saliva will be sucked up the tube?
At a dental appointment, the dentist will usually stick a tube in your mouth to suck up any
extra saliva. A sketch of this kind of suction device is shown below. The device works by flowing water
with a velocity, vw = 0.15 m/s through a pipe with diameter, D = 2 cm. The water in the pipe then
moves through a constriction with a smaller diameter, d = 1 cm, which drops the water pressure to
an absolute value of 5290 Pa. The tube that is placed in your mouth is attached to the pipe at the
center of the constriction. Assume your mouth is open to the atmosphere and saliva has the density of
water (ρ = 1000 kg/m3
). What is the maximum height, H, the pipe can be placed above you so your
saliva will be sucked up the tube?
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