In the falling head columns experiment, the time required to drain a tank is given by...
In the falling head columns experiment, the time required to drain a tank is given by the equation shown below where D0 is the diameter of the tank, D is the diameter of the outlet, and H is the initial height of the water in the tank. For a tank with a diameter of 5.080 cm, an outlet diameter of 0.635 cm, and an initial water height of 58.30±0.05 cm, determine the time required to drain the tank and the error associated with this calculation.
Homework Answers
Add Answer to:
In the falling head columns experiment, the time required to
drain a tank is given by...
Suppose that a tank containing a certain liquid has an outlet near the bottom. Let h(t)...
Suppose that a tank containing a certain liquid has an outlet near the bottom. Let h(t) denote the height of the liquid's surface above the outlet. Torricelli's principle states that the outflow velocity v at the outlet is equal to the velocity of a particle falling freely (with no drag) from the height h (a) Show that v2gh, where g is the acceleration due to gravity. (b) By equating the rate of outflow to the rate of change of liquid...
A 10 cm jet of water issues from a 1 m diameter tank Assume that the...
A 10 cm jet of water issues from a 1 m diameter tank Assume that the velocity in the jet is /2gh m/s where h is the elevation of the water surface above the outlet jet. How long will it take for the water surface in the tank to drop from ho 2 m to h 0.50 m? Problem Definition Situation: Water draining by a 10 cm jet from 1 m diameter tank. Find: Time (in seconds) to drain from...
4 Water enters a circular, constant area tank through a horizontal pipe at a volume flowrate of Q- 0.35 ft/sec. Water e...
4 Water enters a circular, constant area tank through a horizontal pipe at a volume flowrate of Q- 0.35 ft/sec. Water exits the tank through a 2 inch diameter hole with exit velocity Vexi(2gh) where h is the vertical distance from the exit hole to the water surface a) Draw a neat, detailed control volume directly on the drawing of the water tank below. Carefully identify all control surfaces b) Develop a differential equation that can be solved for h...
7.24 A pump is used to pressurize air in a tank to 300 kPa abs. e tank has a diameter of 2 m and a height of 4 m. Th...
7.24 A pump is used to pressurize air in a tank to 300 kPa abs. e tank has a diameter of 2 m and a height of 4 m. The initial level of water in the tank is 1 m, and the initial pressure at the tank water surface is 0 kPa gage. The atmospheric pressure is 100 kPa. The pump provides a constant head of 50 m. The water is drawn from a reservoir that is 4 m below...
A vertical cylindrical tank is being filled with water, while at the same time water is being drained as shown in Fi...
A vertical cylindrical tank is being filled with water, while at the same time water is being drained as shown in Figure 1 below. Provide: Asketch of the analogous flow network using a capacitor symbol to indicate liquid a. volume storage. b. Let h liquid level height;t time; R 988.1(h)0 V 0.5+0.5cos(0.05t), the inlet flow rate; D 2.5, tank diameter; y 60; liquid specific weight; and ho 10, initial h Assume that the units are consistent and the exit pressure...
I only want the answer for No 2 Note: The time it takes to get a two-liter bottle empty is given in the picture I only...
I only want the answer for No 2
Note: The time it takes to get a two-liter
bottle empty is given in the picture
I only want the answer for No 2
Let h(t) and V(t) be the height and volume of water in a tank at time t. If water drains through a hole with area a at the bottom of the tank, then Torricelli's Law says that dV dt where g is the acceleration due to gravity. So...
1. Atall cylindrical tank, held above ground on stilts, is partially filled with water. (See top...
1. Atall cylindrical tank, held above ground on stilts, is partially filled with water. (See top figure). The tank has a diameter, D. At time equal to zero, a hole of diameter d is poked in the bottom of the tank, where d<< D. Let z-0 correspond to the bottom of the tank. The initial fluid height is za. Had Use Bernoulli equation to assess the velocity of the fluid as it leaves the bottom of the tank as a...
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 =...
The state space model of an interconnected three tank water storage system is given by the following equation: -3 1 0 1rh dt os lo 0 3] 10 1-3 The heights of water in the tanks are, respectively,...
The state space model of an interconnected three tank water storage system is given by the following equation: -3 1 0 1rh dt os lo 0 3] 10 1-3 The heights of water in the tanks are, respectively, h,h2,h3. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qǐ1,W2,4a. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks...
The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tan...
The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qii,qi2, Oi3. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks are, respectively, qo1,...
Suppose that a tank containing a certain liquid has an outlet near the bottom. Let h(t) denote the height of the liquid's surface above the outlet. Torricelli's principle states that the outflow velocity v at the outlet is equal to the velocity of a particle falling freely (with no drag) from the height h (a) Show that v2gh, where g is the acceleration due to gravity. (b) By equating the rate of outflow to the rate of change of liquid...
A 10 cm jet of water issues from a 1 m diameter tank Assume that the velocity in the jet is /2gh m/s where h is the elevation of the water surface above the outlet jet. How long will it take for the water surface in the tank to drop from ho 2 m to h 0.50 m? Problem Definition Situation: Water draining by a 10 cm jet from 1 m diameter tank. Find: Time (in seconds) to drain from...
4 Water enters a circular, constant area tank through a horizontal pipe at a volume flowrate of Q- 0.35 ft/sec. Water exits the tank through a 2 inch diameter hole with exit velocity Vexi(2gh) where h is the vertical distance from the exit hole to the water surface a) Draw a neat, detailed control volume directly on the drawing of the water tank below. Carefully identify all control surfaces b) Develop a differential equation that can be solved for h...
7.24 A pump is used to pressurize air in a tank to 300 kPa abs. e tank has a diameter of 2 m and a height of 4 m. The initial level of water in the tank is 1 m, and the initial pressure at the tank water surface is 0 kPa gage. The atmospheric pressure is 100 kPa. The pump provides a constant head of 50 m. The water is drawn from a reservoir that is 4 m below...
A vertical cylindrical tank is being filled with water, while at the same time water is being drained as shown in Figure 1 below. Provide: Asketch of the analogous flow network using a capacitor symbol to indicate liquid a. volume storage. b. Let h liquid level height;t time; R 988.1(h)0 V 0.5+0.5cos(0.05t), the inlet flow rate; D 2.5, tank diameter; y 60; liquid specific weight; and ho 10, initial h Assume that the units are consistent and the exit pressure...
I only want the answer for No 2
Note: The time it takes to get a two-liter
bottle empty is given in the picture
I only want the answer for No 2
Let h(t) and V(t) be the height and volume of water in a tank at time t. If water drains through a hole with area a at the bottom of the tank, then Torricelli's Law says that dV dt where g is the acceleration due to gravity. So...
1. Atall cylindrical tank, held above ground on stilts, is partially filled with water. (See top figure). The tank has a diameter, D. At time equal to zero, a hole of diameter d is poked in the bottom of the tank, where d<< D. Let z-0 correspond to the bottom of the tank. The initial fluid height is za. Had Use Bernoulli equation to assess the velocity of the fluid as it leaves the bottom of the tank as a...
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 =...
The state space model of an interconnected three tank water storage system is given by the following equation: -3 1 0 1rh dt os lo 0 3] 10 1-3 The heights of water in the tanks are, respectively, h,h2,h3. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qǐ1,W2,4a. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks...
The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qii,qi2, Oi3. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks are, respectively, qo1,...
Most questions answered within 3 hours.
-
3. American and Japanese workers can each produce 4 cars a
year. An American worker can...
asked 43 seconds ago -
On October 1, 20X1, a company purchased a piece of land by
agreeing to pay the...
asked 12 minutes ago -
Jamie is doing a survey at her school about whether the students
feel the cafeteria food...
asked 17 minutes ago -
What are the roles of 3' and 5' untranslated regions in
mRNAs?
asked 19 minutes ago -
A domestic television receives antenna delivers a sky noise
power of -105 dBm to a matched...
asked 17 minutes ago -
What do you think are the chemical reactions involved in the
breathalyzer tests administered to potentially...
asked 33 minutes ago -
A random sample of 120 observations produces a mean of
38.2 from a population with a...
asked 39 minutes ago -
The average area of land burned by forest fires every year in
Canada is 2.5 million...
asked 41 minutes ago -
36. The basic difference between government bureaus and market
firms is that bureaus:
a. can...
asked 41 minutes ago -
java
- A recursive method findR() to search for a number in list
(ArrayList)
- A...
asked 1 hour ago -
Which of the following is an example of a screen against adverse
selection? [Mark All That...
asked 59 minutes ago -
A worker drives a 0.560 kg spike into a rail tie with a 2.76 kg
sledgehammer....
asked 1 hour ago