A pneumatic tube system is used in a hospital to quickly transport laboratory samples across the building. A cylindrical canister (radius r = 12.5 cm, mass m = 950 g) containing the sample is placed in a tube with roughly the same radius. The bottom of the tube is exposed to atmospheric pressure, but the portion of the tube above the canister is maintained at a slightly lower pressure, which sucks the canister into the tube. For the questions below, use 101,325 Pa for atmospheric pressure, and maintain 6 significant figures on your numerical answers. What absolute pressure P must be maintained in the portion of the tube above the canister in order to keep the canister stationary? (For simplicity, assume that the tube is coated with a non-stick surface so that friction can be ignored). What is the gauge pressure above the canister in the scenario described above? If tube system operator lowers the absolute pressure found in part (a) by 1.00%, then what is the acceleration of the canister immediately after it is released?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A pneumatic tube system is used in a hospital to quickly transport laboratory samples across
the building. A cylindrical canister (radius r = 12.5 cm, mass m = 950 g) containing the
sample is placed in a tube with roughly the same radius. The bottom of the tube is exposed to
atmospheric pressure, but the portion of the tube above the canister is maintained at a slightly
lower pressure, which sucks the canister into the tube. For the questions below, use 101,325 Pa
for atmospheric pressure, and maintain 6 significant figures on your numerical answers.
What absolute pressure P must be maintained in the portion of the tube above the
canister in order to keep the canister stationary? (For simplicity, assume that the tube is
coated with a non-stick surface so that friction can be ignored).
What is the gauge pressure above the canister in the scenario described above?
If tube system operator lowers the absolute pressure found in part (a) by 1.00%, then
what is the acceleration of the canister immediately after it is released?
Transcribed Image Text:A pneumatic tube system is used in a hospital to quickly transport laboratory samples across the building. A cylindrical canister (radius r = 12.5 cm, mass m = 950 g) containing the sample is placed in a tube with roughly the same radius. The bottom of the tube is exposed to atmospheric pressure, but the portion of the tube above the canister is maintained at a slightly lower pressure, which sucks the canister into the tube. For the questions below, use 101,325 Pa for atmospheric pressure, and maintain 6 significant figures on your numerical answers. What absolute pressure P must be maintained in the portion of the tube above the canister in order to keep the canister stationary? (For simplicity, assume that the tube is coated with a non-stick surface so that friction can be ignored). What is the gauge pressure above the canister in the scenario described above? If tube system operator lowers the absolute pressure found in part (a) by 1.00%, then what is the acceleration of the canister immediately after it is released?
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