1) A cistern contains a volume of 40000 liters of water (PH₂O = 10³ kg m-3;1 liter = 1 dm³). It has a cylindrical shape with diameter 3.56 m. Bonus: Calculate the height of the water when the cistern is completely full. Orx I J a) Having established that the height of water in the cistern is 4.02 m when it is completely full, if the top of the cistern is at atmospheric pressure (Patm =1.01 × 105 Pa), calculate the pressure at the bottom of the cistern. Est b) You now start using the kitchen sink and open the faucet. Your faucet has a diameter of 3.50 cm. If the velocity of the water coming out of faucet is 14.5 cms 1, what is the volume flow rate? c) The cistern is connected to your sink via a pipe that has diameter 8.00 cm. 3 Calculate the speed of water in that pipe.

1) A cistern contains a volume of 40000 liters of water (PH₂O = 10³ kg m-3;1 liter = 1 dm³). It has a cylindrical shape with diameter 3.56 m. Bonus: Calculate the height of the water when the cistern is completely full. Orx I J a) Having established that the height of water in the cistern is 4.02 m when it is completely full, if the top of the cistern is at atmospheric pressure (Patm =1.01 × 105 Pa), calculate the pressure at the bottom of the cistern. Est b) You now start using the kitchen sink and open the faucet. Your faucet has a diameter of 3.50 cm. If the velocity of the water coming out of faucet is 14.5 cms 1, what is the volume flow rate? c) The cistern is connected to your sink via a pipe that has diameter 8.00 cm. 3 Calculate the speed of water in that pipe.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...

See similar textbooks

Related questions

Q: total height of

Q: A salt water tank is 21 m tall and is open at the top to the atmosphere. A small hole with a cross…

A: Height of drain from free Surface h' = H- h = (21-4) m = 17 m Density ρ of Sea…

Q: Gold can be hammered into decorative gold leaf, which is only 1.00E-07 m thick. If 1.88 troy ounce…

A: We know the density of a material sample, ρ=mV. Where m = mass of the sample and V= volume of the…

Q: A fly was sitting on a block. A man draws a circle of area 2cm2, thus enclosing the fly. He then…

A: Area = ( 2 x 10-2 )2 m2 Area = 2 x 10-4 m2 Force = 20 N

Q: an object has a total volume of 5 liters (which is 5000 cubic centimeters) and a mass of 4 kg. What…

A: Given data: Volume (V) = 5 L = 5000 cm3 Mass (m) = 4 kg = 4000 g Required: Density (ρ)

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.419 m. A hole of…

Q: Air enters a rectangular duct with an inlet area of 0.72 m2 at a velocity of 1.12 m/s. What is the…

A: Given : A1 = 0.72 m2 v1 = 1.12 m/s v2 = 4.15 m/s

Q: A cylinder is 2.17 m tall and has a radius of 0.915 m. It's made of concrete with a density of 3304…

Q: A baby bounces up and down in her crib. Her mass is 11.0 kg, and the crib mattress can be modeled as…

A: Since there are two more questions, each has two more subparts. we will answer the first question…

Q: How much pressure will a girl of weight 50 kg f exert on the ground if area of her one foot is 50…

Q: c. The force acting on the interface between oil and salt water. Your answer d. Gage Pressure at the…

A: Given data: The side of square bottom is a=5 m. The specific gravity of oil is x1=0.82. The…

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.458 m. A hole of…

Q: A spherical balloon has a radius of 7.32 m and is filled with helium. How much extra weight could…

A: The radius of the balloon is: The mass of the balloon, Consider the standard values as given below:…

Q: A cylinder is 3.64 m tall and has a radius of 0.731 m. It's made of concrete with a density of 1568…

A: Given that,Weight, w=mgGiven that,For cylinder, L=3.64mR=0.731 mVolume,…

Q: cylinder is 3.64 m tall and has a radius of 0.731 m. It's made of concrete with a density of 1568…

Q: metal Sphere weigh whose diameter em 2000N. How mueh would this sphere veigh if placed ;a water…

Q: (a) A rectangular gasoline tank can hold 45.0 kg of gasoline when full. What is the depth of the…

A: Mass of gasoline =45kgDensity of gasoline= 730 kg/m3 (Assumed value)Dept of the tank= 0.5mWidth of…

Q: A jet of water discharges into an open tank, and water leaves the tank through an orifice in the…

A: We first find the inflow and the outflow rates of the water into and out of the tank. Then we see if…

Q: "A fluid flows a tube of length 0.486 m and diameter 0.0123 m. If the pressure difference is 0.062…

A: The Hagen–Poiseuille equation is a physical law in non-ideal fluid dynamics that calculates the…

Q: Find the sp gr of the object if it has the dimensions of 1.5x1.0x2.0m and weighs 1962 N in water. O…

Q: What is the smallest number of whole logs (density = 745 kg/m^3 , radius = 0.077m , length = 3.30m)…

A: Calculate the volume of each log.

Q: A spherical balloon 5.73 m. in diameter is filled with gas weighing 6.78 N/m3. In standard air…

A: Given Diameter of balloon =5.73 mWeight of gas filled =6.78 N/m3Weight of air =13.21 N/m3

Q: When an object of mass 14.5 kg is submerged in water , a scale reads only 13.4 kg. Find the volume…

A: mass of object in air = 14.5 kg mass of object in water = 13.4 kg density of water = 1000 kg/m3

Q: 2. A spherical balloon is 40ft in diameter and surrounded by air at 60 F and 29.92 in Hg abs. (a) if…

Q: A cylindrical vial with a diameter of 5.00x10-3 [m] is filled with liquid mercury (ρ=13.6x103…

Q: Raw milk is stored at a dairy farm in a refrigerated cylindrical vat 6.50 feet wide and 12.5 feet…

Q: 1. A reservoir contains 2.83 cubic meters of CO at 6895 kPa and 23.6 deg. Celsius. A cylindrical…

A: Solution:-Given thatInitial state of CO in reservoir;V1=2.83 m3P1=6895 kPaT1=23.6°C=23.6+273=296.6…

Q: 1.8 cm3 contains a blood which has a density of 1060 Kg/m3, Find its weight. (g = 10 m/s). nswer:

A: The weight of blood is W=dVg

Q: Local authorities of Ankara built a basin as cylindrical tank with an upper diameter D1 = 1500m,…

Q: c) The readings below (Dm=D105.6) are obtained for a 6 MV beam in a water tank. Depth "d" is 10x10cm…

Q: A future rectangular ship (tanker) filled with oil. If the dimensions of the ship are (250 m) long,…

Q: In Niagara falls 5800 m3 of water flows every minute. What is the flow rate ( Q)?

A: Given data: Volume of the Niagara falls, V = 5800 m 3 Time. t = 1 min = 60 sec

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.366 m. A hole of…

A: Solution (a) We know by Bernoulli equation: p1+12 ρv12 + ρgh1=p2+12 ρv22 + ρgh2 where, h1 =…

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.461 m. A hole of…

Q: 7. (12 pts) A container of 6.25 ft in diameter is full of liquid. If the liquid has a specific…

A: The volume of the cylinder is V = πr2h where, r is the radius and h is the height of the cylinder.

Q: A company has several sensors in storage silos to detect the total pressure in the silos to ensure…

A: Maximum pressure that a tank can withstand = 5.7 atm density of liquid nitric acid (d) = 97…

Q: If for the pipe carrying water in a building, h = 146.51 meters, v1 = 3.842 m/s, and the…

A: Step 1: To find the pressure P1 given the height h, velocity v1, and the cross-sectional areas at…

Concept explainers

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

Question

1) A cistern contains a volume of 40000 liters of water (PH₂0 = 10³ kg m-3;1 liter = 1 dm³).
It has a cylindrical shape with diameter 3.56 m..
Bonus: Calculate the height of the water when the cistern is completely full.
OrX IN J
- a) Having established that the height of water in the cistern is 4.02 m when it is
completely full, if the top of the cistern is at atmospheric pressure (P
calculate the pressure at the bottom of the cistern.
atm =1.01 x 105 Pa),
€
You now start using the kitchen sink and open the faucet. Your faucet has
diameter of 3.50 cm. If the velocity of the water coming out of faucet is 14.5 cms-¹, what
is the volume flow rate?
c) The cistern is connected to your sink via a pipe that has diameter 8.00 cm.
Calculate the speed of water in that pipe.
d) You fill the sink with water. You put in there a rectangular box having area
of the base A = 200 cm² and mass m = 1.00 kg. What is the minimum height the box must
have in order to be able to float?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Clarification

VIEW

Step 2: Calculate the height of water when the cistern is completely full:

VIEW

Step 3: Calculate the pressure at the bottom of the cistern:

VIEW

Step 4: Calculate the volume rate flow through faucet:

VIEW

Step 5: Calculate the speed of water in the pipe(connected to the sink)

VIEW

Solution

VIEW

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 75.0-kg floats in freshwater 3.00% of his volume above water when his are empty, and 5.00% of his volume above water when his lungs are full. Calculate the volume of air inhales—called his lung capacity—in liters. (b) Does lung volume seem reasonable?
Check Your Understanding Figure 1.4 says the mass of the atmosphere is 1019kg . Assuming the density of the atmosphere is 1kg/m3 , estimate the height of Earth’s atmosphere. Do you think your answer is an underestimate or an overestimate? Explain why. How many piano tuners are there in New York City? How many leaves are on that tree? If you are studying photosynthesis or thinking of writing a smartphone app tot piano tuners, then the answers to these questions might be of great interest to you. Otherwise, you probably couldn’t care less what the answers are. However, these are exactly the soils of estimation problems that people in various tech industries have been asking potential employees to evaluate their quantitative reasoning skills. If building physical intuition and evaluating quantitative claims do not seem like sufficient reasons tot you to practice estimation problems, how about the fact that being good at them just might land you a high-paying job? For practice estimating relative lengths, areas, and volumes, check out this PhET (https://openstaxcollege.org/l/21lengthgame) simulation, titled “Estimation.”
How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.
The inside volume of a house is equivalent to that of a rectangular solid 13.0 m wide by 200 m long by 2.75 m high. The house is heated by a forced air gas heater. The main uptake air duct of heater is 0.300 m in diameter. What is the average speed of the duct if it carries a volume equal to that of the house’s interior every 15 minutes?
A rectangular gasoline tank bold 30.0 kg of gasoline when full. What is the depth of the tank if is 0.500-m wide by 0.900-m long? (b) Discuss whether gas tank has a reasonable volume for a passenger car.
How many cubic meters of helium are required to lift a light balloon with a 400-kg payload to a height of 8 000 m? Take Hc = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression pair = 0e-z/8 000, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.
A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression = B + Cx to describe the variable density. (b) The mass of the rod is given by m=allmaterialdV=allxAdx=014.0cm(B+Cx)(9.00cm2)dx Carry out the integration to find the mass of the rod.
A small statue is recovered in an archaeological dig. Its weight is measured to be 96 lb, and its volume 0.08 ft3. (a) What is the statue's weight density? (b) What substance is it?
(a) What fraction of Earth's diameter is the greatest ocean depth? (b) The greatest mountain height?
How many cubic meters of helium are required to lift a light balloon with a 370-kg payload to a height of 7,998 m? Take pu. = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression Pair = Poe-z/8,000, where z is in meters and Po = 1.20 kg/m is the density of air at sea level. m- Need Help? Master It Read It
Density of the atmosphere For altitudes h up to 10,000 me- ters, the density D of Earth's atmosphere (in kg/m) can be approximated by the formula D = 1.225 – (1.12 x 10-9)h + (3.24 x 10-)F. Approximate the altitude if the density of the atmosphere is 0.74 kg/m.
Suppose 1.0 m³ of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick and that each molecule occupies a cube 0.50 µm on a side.