Reconsider Prob. 8-78. In order to drain the tank faster, a pump is installed near the tank exit as in Fig. 8-79. Determine how much pump power input is necessary to establish an average water velocity of 4 m/s when the tank is full at z = 2 In. Also, assuming the discharge velocity to remain constant, estimate the time required to drain the tank. Someone suggests that it makes no difference whether the pump is located at the begining or at the end of the pipe, and that the performance will be the same in either, case, but another person argues that placing the pump near the end of the pipe may cause cavitation. The water temperature is 30CC. so the water vapor pressure is P1. 4.236 kPa 0.43 m H 2 O, and the system is located at sea level. Investigate if there is the possibility of cavitation and if we should be concerned about the location of the plump.
Reconsider Prob. 8-78. In order to drain the tank faster, a pump is installed near the tank exit as in Fig. 8-79. Determine how much pump power input is necessary to establish an average water velocity of 4 m/s when the tank is full at z = 2 In. Also, assuming the discharge velocity to remain constant, estimate the time required to drain the tank. Someone suggests that it makes no difference whether the pump is located at the begining or at the end of the pipe, and that the performance will be the same in either, case, but another person argues that placing the pump near the end of the pipe may cause cavitation. The water temperature is 30CC. so the water vapor pressure is P1. 4.236 kPa 0.43 m H 2 O, and the system is located at sea level. Investigate if there is the possibility of cavitation and if we should be concerned about the location of the plump.
Solution Summary: The author explains the pump power input, the time required for draining the tank, and the energy equation.
Reconsider Prob. 8-78. In order to drain the tank faster, a pump is installed near the tank exit as in Fig. 8-79. Determine how much pump power input is necessary to establish an average water velocity of 4 m/s when the tank is full at z = 2 In. Also, assuming the discharge velocity to remain constant, estimate the time required to drain the tank. Someone suggests that it makes no difference whether the pump is located at the begining or at the end of the pipe, and that the performance will be the same in either, case, but another person argues that placing the pump near the end of the pipe may cause cavitation. The water temperature is 30CC. so the water vapor pressure is P1. 4.236 kPa 0.43 m H2O, and the system is located at sea level. Investigate if there is the possibility of cavitation and if we should be concerned about the location of the plump.
I tried solving this one but have no idea where I went wrong can you please help me out with this?
Question 1.
A tube rotates in the horizontal xy plane with a constant angular velocity w about the z-axis. A
particle of mass m is released from a radial distance R when the tube is in the position shown.
This problem is based on problem 3.2 in the text.
y
ω
R
m
2R
Figure 1
X
a) Draw a free body diagram of the particle if the tube is frictionless.
b) Draw a free body diagram of the particle if the coefficient of friction between the sides of the
tube and the particle is μs = flk = fl.
c) For the case where the tube is frictionless, what is the radial speed at which the particle
leaves the tube?
d) For the case where there is friction, derive a differential equation that would allow you to
solve for the radius of the particle as a function of time. I'm only looking for the differential
equation. DO NOT solve it.
e) If there is no friction, what is the angle of the tube when the particle exits?
• Hint: You may need to solve a differential equation for the last part. The "potentially…
I tried this problem but I can't seem to figure out what I am missing here can you please help me?
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