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How many gallons (liters) of water could be contained in a 30 x 40 x 12 foot (10 x 12 x 4 meters) rectangular storage tank?

How many gallons (liters) of water could be contained in a 30 x 40 x 12 foot (10 x 12 x 4 meters) rectangular storage tank?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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solve the Q 1.3 , 1.4 , 1.11 , 1.15 , 1.17 , 1.18 

in US unites please 

6 Example 1.9 op ots tonk that is 30 meters high? uilor What is the ir the specifie gra toubic contimeten ot ga It the weight densityY of a much should the air we Ax 2.4 metersi? A man supporting hi 4 square inches (10 (3.45 bar). How m If a 180-pound (B Solution Again G-(F) (D) 1.0 And where F= W Fa(1 liter) (1 kg/liter) F 1 kg V.10 1.11 4 chair legs has what pressure A heavy fuel e (300 liters) Then: 1.12 G (1kg) (30m) = 30 m-kg If gasoline the circu 1.13 Summary of Important Concepts feet (2.4 What 1. 1.14 (1,50 Wh (12 of its effectiveness, availability, and low cost. 1.15 2. 3. 1.16 expansion during vaporization and during freezing. For most practical purposes, water can be considered incompressible 4. References "Russell W. Henke, Introduction to Fluid Mechanics (Reading: Addison-Wesley Publishing Co., 1972) pp. 1-9. Supplemental Readings Hickey, Harry E. Hydraulics For Fire Protection. National Fire Protection Association: Quincy, MA, 1980, pp. 1-6. Chapter One Exercises 1.1 Compare and contrast fluids, solids, and gases. List some significant ways that liquids differ from gases. How many gallons (liters) of water could be contained in a 30 x 40 x 12 foot (10 x 12 x 4 meters) rectangular storage tank? 1.2 1.3 If a spherical storage tank holds 40,000 gallons (120,000 liters) of water, 1.4 what diameter must it have? tion Hudrodi
Transcribed Image Text:6 Example 1.9 op ots tonk that is 30 meters high? uilor What is the ir the specifie gra toubic contimeten ot ga It the weight densityY of a much should the air we Ax 2.4 metersi? A man supporting hi 4 square inches (10 (3.45 bar). How m If a 180-pound (B Solution Again G-(F) (D) 1.0 And where F= W Fa(1 liter) (1 kg/liter) F 1 kg V.10 1.11 4 chair legs has what pressure A heavy fuel e (300 liters) Then: 1.12 G (1kg) (30m) = 30 m-kg If gasoline the circu 1.13 Summary of Important Concepts feet (2.4 What 1. 1.14 (1,50 Wh (12 of its effectiveness, availability, and low cost. 1.15 2. 3. 1.16 expansion during vaporization and during freezing. For most practical purposes, water can be considered incompressible 4. References "Russell W. Henke, Introduction to Fluid Mechanics (Reading: Addison-Wesley Publishing Co., 1972) pp. 1-9. Supplemental Readings Hickey, Harry E. Hydraulics For Fire Protection. National Fire Protection Association: Quincy, MA, 1980, pp. 1-6. Chapter One Exercises 1.1 Compare and contrast fluids, solids, and gases. List some significant ways that liquids differ from gases. How many gallons (liters) of water could be contained in a 30 x 40 x 12 foot (10 x 12 x 4 meters) rectangular storage tank? 1.2 1.3 If a spherical storage tank holds 40,000 gallons (120,000 liters) of water, 1.4 what diameter must it have? tion Hudrodi
If a cylindrical storage tank has a 40-foot (12 m) diameter circular base, how high must it be to hold 1 million gallons (3 million liters)? If water is moving at a rate of 3.2 ft/sec (90,000 cc/sec), how many gallons (liters) per minute is this? What is the difference between specific gravity and specific weight? If the specific gravity of gold is 19.0, what is the weight of a cubic inch (cubic centimeter) of gold? A cubic foot (cubic meter)? If the weight density of air at sea level is 0.08 lb./ft3 (.0012 kg/liter), how much should the air weigh in a room that measures 20 x 12 x 8 feet (7 x 1.5 1.6 1.7 1.8 1.9 4 x 2.4 meters)? A man supporting himself on the heel of his shoe, which has an area of 4 square inches (100 cm²), produces a pressure on the ground of 50 psi (3.45 bar). How much does the man weigh? If a 180-pound (82 kg) man sits on a 5-pound (3 kg) chair, and each of the 4 chair legs has a circular cross section with a 1-inch (2.5 cm) diameter, what pressure is exerted on the floor by the chair? A heavy fuel oil has a specific gravity of 0.918. How much will 100 gallons (300 liters) of this oil weigh? If gasoline has a specific gravity of 0.738, what force will be exerted on the circular bottom of a cylindrical gasoline tank that has a diameter of 8 feet (2.4 m) and is 12 feet(4 meters) high? What amount of work will be accomplished in transporting 500 gallons 1.10 1.11 1.12 1.13 1.14 (1,500 liters) of water 1,760 feet (1,500 meters)? What amount of work will be accomplished in elevating 40,000 gallons (120,000 liters) of water to the top of an elevated tank that is 80 feet (24 meters) high? 1.15 1.16 The circular clapper on the water side of a dry pipe sprinkler valve has a diameter of 4 inches (10 cm). What force will be acting on this clapper due to a water pressure of 72 psi (5 bar)? The circular clapper on the air side of a dry pipe sprinkler valve has a diameter of 10 inches (25 cm). What force will be acting on this clapper (1.17, due to an air pressure of 40 psi (3 bar)? If 4-inch (100 mm) Schedule 40 sprinkler piping has an actual inside diameter of 4.026 inches (102.3 mm), how many gallons (liters) of water could be contained in 135 feet (40 meters) of this pipe? How much would the water in this pipe weigh? If 1-inch (25 mm) Schedule 40 sprinkler piping has an actual inside diameter of 1.049 inches (26.6 mm), how many gallons (liters) of water will 800 feet (240 meters) of this pipe hold? How much would the water in this pipe weigh? 1.18 1.19 1.20 It is commonly desired to keep water velocities in automatic sprinkler systems below 20 feet per second (fps) (6 m/s). How many gallons per minute (liters per minute) would be represented by a water velocity of 20 fps (6 m/s) in 1-inch (25 mm) pipe with an actual inside diameter of 1.049 inches (26.6 mm)?
Transcribed Image Text:If a cylindrical storage tank has a 40-foot (12 m) diameter circular base, how high must it be to hold 1 million gallons (3 million liters)? If water is moving at a rate of 3.2 ft/sec (90,000 cc/sec), how many gallons (liters) per minute is this? What is the difference between specific gravity and specific weight? If the specific gravity of gold is 19.0, what is the weight of a cubic inch (cubic centimeter) of gold? A cubic foot (cubic meter)? If the weight density of air at sea level is 0.08 lb./ft3 (.0012 kg/liter), how much should the air weigh in a room that measures 20 x 12 x 8 feet (7 x 1.5 1.6 1.7 1.8 1.9 4 x 2.4 meters)? A man supporting himself on the heel of his shoe, which has an area of 4 square inches (100 cm²), produces a pressure on the ground of 50 psi (3.45 bar). How much does the man weigh? If a 180-pound (82 kg) man sits on a 5-pound (3 kg) chair, and each of the 4 chair legs has a circular cross section with a 1-inch (2.5 cm) diameter, what pressure is exerted on the floor by the chair? A heavy fuel oil has a specific gravity of 0.918. How much will 100 gallons (300 liters) of this oil weigh? If gasoline has a specific gravity of 0.738, what force will be exerted on the circular bottom of a cylindrical gasoline tank that has a diameter of 8 feet (2.4 m) and is 12 feet(4 meters) high? What amount of work will be accomplished in transporting 500 gallons 1.10 1.11 1.12 1.13 1.14 (1,500 liters) of water 1,760 feet (1,500 meters)? What amount of work will be accomplished in elevating 40,000 gallons (120,000 liters) of water to the top of an elevated tank that is 80 feet (24 meters) high? 1.15 1.16 The circular clapper on the water side of a dry pipe sprinkler valve has a diameter of 4 inches (10 cm). What force will be acting on this clapper due to a water pressure of 72 psi (5 bar)? The circular clapper on the air side of a dry pipe sprinkler valve has a diameter of 10 inches (25 cm). What force will be acting on this clapper (1.17, due to an air pressure of 40 psi (3 bar)? If 4-inch (100 mm) Schedule 40 sprinkler piping has an actual inside diameter of 4.026 inches (102.3 mm), how many gallons (liters) of water could be contained in 135 feet (40 meters) of this pipe? How much would the water in this pipe weigh? If 1-inch (25 mm) Schedule 40 sprinkler piping has an actual inside diameter of 1.049 inches (26.6 mm), how many gallons (liters) of water will 800 feet (240 meters) of this pipe hold? How much would the water in this pipe weigh? 1.18 1.19 1.20 It is commonly desired to keep water velocities in automatic sprinkler systems below 20 feet per second (fps) (6 m/s). How many gallons per minute (liters per minute) would be represented by a water velocity of 20 fps (6 m/s) in 1-inch (25 mm) pipe with an actual inside diameter of 1.049 inches (26.6 mm)?
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