Use the following values if needed 1 foot- 0.30 meter 1 hp 746 watt (W) cal 4.2

Question

Use the following values if needed 1 foot- 0.30 meter 1 hp 746 watt (W) cal 4.2 joule g 9.80 m/s G 6.67x10-11 Some moments of inertia (about centers): disk (1/2)MR2 sphere (2/5)MR Standard atmosphere- 1.013x105 N/m2 Density of water 1000 kg/m Absolute zero 273°C Density of air 1.29 kg/m (standard temperature, pressure) BF: bouyant VC 2 1. A 21-cm-long sealed cylindrical tube is floating upright in a lab water tank which incorporates an artificial oil s The tube's end area is 4.0 cm2; it has 6.0 cm of its length below water level and another 5.0 cm in the oil (whose density is 800 kg/m3). The rest of its length is in air. What is the 2H G-5 weight of the tube 2. Water is flowing smoothly into a house through a 18-cm pipe in the basement. Upstairs, 5 m higher, it is flowing smoothly through a 6-cm? pipe at 6 m/s at a pressure of 5x104 Pa. If no other flows are involved, what is the pressure in the basement pipe?

Explanation / Answer

From bernoullis theorem
rho*gh + 0.5*rho*v^2 + P = constnat
1000*9.8*5 + 0.5*1000*6^2 + 5*10^4 = 0.5*1000*v^2 + P
from continuity equatuation
AV = constant
18*v = 6*6
v = 2 m/s
P = 11.5*10^4 Pa

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