Physics
posted by Chris .
it didn't let me put the link to image..
A tube of radius 5 cm is connected to tube of radius 1 cm as shown above. Water is forced through the tube at a rate of 10 liters/min. The pressure in the 5 cm tube is 1×105 Pa. The density of water is 1000 kg/m3. Assume that the water is nonviscous and uncompressible.
(a) What is the velocity of the water in the 5 cm radius tube?
v1 = m/s
(b) What is the velocity of the water in the 1 cm radius tube?
v2 = m/s
(c) What is the water pressure in the 1 cm radius tube?
P2 = N/m2

A) V1= 10L/((pie)(.05^2)(1000)(60))=.0212m/s
B) V2= 10L/((pie)(.01^2)(1000)(60)=.5307m/s
C)P=P1  P2 = 1000*[(.0212)²/2  (.5307)²/2]
P1  P2 = 140.5 Pa
P2 = 10^5  140.5 = 99859.5 Pa. 
given;
r2 = 0.05 m
r1 = 0.01 m
Q = 10 liters/min = 10 E3/60 = 1.67 E4 m³/s
P2 = 10^5 Pa
ρ = 1000 kg/m³
no. # (a)
Q = (A2)(v2)
Q = π(r2)²)(v2)
1.67 E4 = π(0.05)²)(v2)
V2 = 0.0212 m/s
no. # (b)
V1 = (r2/r1)² (V2) = (5/1)² (0.0212)
V1 = 0.5316 m/s
no. # (c)
using Bernoulli's equation in dynamics fluid
P1 + ½ ρ V1² + ρ g h = P2 + ½ ρ V2² + ρ g h
I assume there's no level differences and no losses of energy.
P1 + ½ ρ V1² = P2 + ½ ρ V2²
P1 + ½ (1000) (0.5316)² = 10^5 + ½ (1000) (0.0212)²
P1 = 99859 Pa
Respond to this Question
Similar Questions

physics
In a machine, an ideal fluid with a density of 0.9*10^3 kg/m^3 and a pressure of 1.3*10^5 Pa flows at a velocity of 6.0 m/s through a level tube with a readius of 0.5 cm. This tube connects to a level tube that has a radius of 1.5 … 
physics
A fresh water pond that is 14.7 m deep is contained on one side by a cliff. The water has eroded a nearly horizontal "tube" through a bed of limestone, which allows the water to emerge on the other side of the cliff. If the "tube" … 
physics
(c) Tube (c) is again filled with water. A1 and A2 are the same as in part (b). Two pistons apply different forces to the water in the tube so that the water in the right side of the tube is a height h = 0.43m above the height of the … 
physics
Placing a tube, with a radius of .30 cm, vertically into a barrel with a radius of 21 cm it was found that when the barrel was filled with water and the tube filled to 12 m the barrel burst. Calculate the mass of water in the tube … 
physics
2) Tube (b) is also filled with water, A1 is 0.05m2 and A2 is 0.08m2 Two pistons are placed in both ends of the tube and forces, F1 and F2 are exerted on the pistons so that they remain at the same height. If F1 = 20N what is F2? 
PHYSICS!!!
The Venturi tube shown in the figure below may be used as a fluid flowmeter. Suppose the device is used at a service station to measure the flow rate of gasoline (ñ = 7.00 102 kg/m3) through a hose having an outlet radius of 2.72 … 
Chemistry
Suppose I put 1 billion bacteria in a 10 ml tube of saline, mix well, and label this tube A. Answer the following questions: 1. Take 1 ml from tube A and put it in an empty tube B. What is the concentration and number of bacteria in … 
Chemistry
Suppose I put 1 billion bacteria in a 10 ml tube of saline, mix well, and label this tube A. Answer the following questions: 1. Take 1 ml from tube A and put it in an empty tube B. What is the concentration and number of bacteria in … 
Physics
A constricted horizontal tube of radius r(1)=4.00 cm tapers to a tube of radius r(2)=2.50 cm. If water flows at speed 2.00 m/s in the larger tube, (a) find the speed of the water v(2) in the smaller tube. (b) Find the flow rate in … 
physics
A uniform vertical glass tube open at the lower end and sealed at the lower end is lowered into sea water thus trappung the air int he tube . It is observed that when the tube is submerged to a depth 10 meters the sea water has entered …