Engineering Fundamentals
Engineering Fundamentals
6th Edition
ISBN: 9780357112144
Author: Saeed Moaveni
Publisher: MISC PUBS
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Chapter 7, Problem 23P
To determine

Investigate the volume capacity of a barrel of oil in galloons, cubic feet, cubic meters, and the volume capacity of a bushel of agricultural products in cubic inches, cubic feet, and cubic meters.

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Answer to Problem 23P

The volume capacity of a barrel of oil in galloons, cubic feet, cubic meters is 42 gallons, 5.63ft3, 0.16m3 and the volume capacity of a bushel of agricultural products in cubic inches, cubic feet, and cubic meters is 2150.4in3, 1.28ft3, 0.035m3.

Explanation of Solution

Volume capacity of the Barrel:

Barrel is the wooden container in the form of cylindrical shape. The wooden staves are used to make the barrel by rounding the staves using the hoops. The barrel is in curved shape and the structure is convex and bulges at the center of the barrel which is called as bilge. Such a shape is used to manufacture the barrel in order to roll it and make the roller to change the moving directions with little friction by comparing with the cylinder.

According to the U.S. standard, a barrel contains 42gallons of oil. That is,

1 barrel=42 gallons

Consider the following expression to calculate the value from gallons to cubic feet,

1 barrel=42 gallons [1gallon=0.134ft3]=(42)(0.134ft3)=5.63ft3

Consider the following expression to calculate the value from gallons to cubic meters,

1 barrel=42 gallons [1gallon=0.0038m3]=(42)(0.0038m3)=0.16m3

Volume capacity of the Bushel:

Bushel is the US customary unit for the mass or weight which is based upon the measure of dry capacity. It is a unit of units used for measurement of agricultural products such as corn, beans, flaxseeds etc.

According to the U.S. standard, a bushel contains 8gallons. That is,

1 bushel=8 gallons

Consider the following expression to calculate the value from dry gallons to cubic inches in dry capacity,

1 bushel=8 gallons [1gallon=268.8in3]=(8)(268.8in3)=2150.4in3

Consider the following expression to calculate the value from dry gallons to cubic feet,

1 bushel=8 gallons [1gallon=0.16ft3]=(8)(0.16ft3)=1.28ft3

Consider the following expression to calculate the value from dry gallons to cubic meters,

1 bushel=8 gallons [1gallon=0.0044m3]=(8)(0.0044m3)=0.035m3

The volume capacity of a barrel of oil in galloons, cubic feet, cubic meters is 42 gallons, 5.63ft3, 0.16m3 and the volume capacity of a bushel of agricultural products in cubic inches, cubic feet, and cubic meters is 2150.4in3, 1.28ft3, 0.035m3.

The barrel is the old unit to measure the volume of oil, fluid or dry barrels. It is used to measure the bulk amount of containers especially in U.S and U.K.

Bushel is the US customary unit of volume for the mass, used to measure the bulk range of mass in volume used specially in U.S and UK.

The relation in both volume units is 1 U.S dry barrel = 3.28 US bushels.

And 1  U.S bushel= 7.7515 imperial gallons, therefore

1 U.S dry barrel = 3.28 (7.7515 imperial gallons)1 U.S dry barrel = 25.425 imperial gallons

The American merchants are used to measure the products in Barrels and Bushels.

Conclusion:

Thus, the volume capacity of a barrel of oil in galloons, cubic feet, cubic meters is 42 gallons, 5.63ft3, 0.16m3 and the volume capacity of a bushel of agricultural products in cubic inches, cubic feet, and cubic meters is 2150.4in3, 1.28ft3, 0.035m3.

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