The tank pictured in Figure 2 with height H and diameter D
contains water, which drains through a small round hole with
diameter d. Torricelli’s law states that the average velocity v of
the draining water is 
Derive an expression to
describe the time taken for the tank to drain, if it is initially
full of water. Future interplanetary astronauts could use the tank
as a simple device for measuring the gravitational acceleration on
alien planets. If on Earth, where g = 9.81 m s -2 , it takes 115 s
to empty the tank and on Mars it takes 187 s, calculate the
gravitational acceleration of Mars.
Figure 2.
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The tank pictured in Figure 2 with height H and diameter D contains water, which drains through a small round hole with diameter d. Torricelli’s law states that the average velocity v of the draining...
(3 points) A tank of diameter D is filled with water up to a height h...
(3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible. Figure 3: A tank draining (c) If you no longer assume that the...
Consider water being drained from a cylindrical container of diameter D through a hole in the...
Consider water being drained from a cylindrical container of
diameter D through a hole in the cap, of diameter
d, as shown below. Let A be a point on the surface of the
water and let B be a point right at the hole. The level of water is
h above the hole.
If the height of the water level is h = 24 cm, what is
the value of
vB2−vA2, in SI units?
If the diameters are d =...
For flow in a pipe of uniform diameter D the loss in hydraulic head, h, is given by: L u2 D 2 where L is the length of the pipe, u is the average flow velocity, g is the acceleration due to gravity a...
For flow in a pipe of uniform diameter D the loss in hydraulic head, h, is given by: L u2 D 2 where L is the length of the pipe, u is the average flow velocity, g is the acceleration due to gravity and f is a constant. During reconfiguration of a plant it is estimated that the length of the pipe could be reduced by 15% and its diameter increased by 6%. Calculate the maximum percentage by which The...
Q1: Consider the tank and water supply system as shown in Figure. The diameter of the...
Q1: Consider the tank and water supply system as shown in Figure. The diameter of the supply pipe is D. = 40mm, and the average velocity leaving the supply pipe is V1 = 3 m/s. A shut- off valve is located at z = 0.7 m in the exit pipe, which has a diameter of D, = 30mm. The tank diameter is De = 0.7m. The density of the water is uniform at 998 kg/m. a. Find the time to...
(3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible. Figure 3: A tank draining (c) If you no longer assume that the...
Consider water being drained from a cylindrical container of
diameter D through a hole in the cap, of diameter
d, as shown below. Let A be a point on the surface of the
water and let B be a point right at the hole. The level of water is
h above the hole.
If the height of the water level is h = 24 cm, what is
the value of
vB2−vA2, in SI units?
If the diameters are d =...
For flow in a pipe of uniform diameter D the loss in hydraulic head, h, is given by: L u2 D 2 where L is the length of the pipe, u is the average flow velocity, g is the acceleration due to gravity and f is a constant. During reconfiguration of a plant it is estimated that the length of the pipe could be reduced by 15% and its diameter increased by 6%. Calculate the maximum percentage by which The...
Q1: Consider the tank and water supply system as shown in Figure. The diameter of the supply pipe is D. = 40mm, and the average velocity leaving the supply pipe is V1 = 3 m/s. A shut- off valve is located at z = 0.7 m in the exit pipe, which has a diameter of D, = 30mm. The tank diameter is De = 0.7m. The density of the water is uniform at 998 kg/m. a. Find the time to...
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