Textbook Question
A square field measuring 100.0 m by 100.0 m has an area of 1.00 hectare. An acre has an area of 43,600 ft2. If a lot has an area of 12.0 acres, what is its area in hectares?
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Ch 01: Units, Physical Quantities & Vectors
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610
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Table of contents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Not the one you use?Change textbook
Chapter 1, Problem 5
The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.
Verified step by step guidance1
Start by converting the displacement from cubic inches to cubic centimeters. Since 1 inch is equal to 2.54 cm, you need to cube this conversion factor to convert cubic inches to cubic centimeters. Therefore, 1 cubic inch is equal to (2.54 cm)^3.
Calculate the conversion factor: (2.54 cm)^3 = 2.54^3 cm^3. This will give you the number of cubic centimeters in one cubic inch.
Multiply the displacement in cubic inches (327 cubic inches) by the conversion factor you calculated in the previous step to find the displacement in cubic centimeters.
Now, convert the displacement from cubic centimeters to liters. Since 1 liter is equal to 1000 cm^3, divide the displacement in cubic centimeters by 1000 to convert it to liters.
The result from the previous step will give you the displacement of the engine in liters.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. It involves using conversion factors, which are ratios that express how many of one unit are equivalent to another unit. In this problem, converting cubic inches to liters requires understanding the relationship between inches, centimeters, and liters.
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07:46
Unit Conversions
Volume Calculation
Volume calculation involves determining the amount of space occupied by a substance or object. For this problem, the displacement of the engine is given in cubic inches, which is a measure of volume. Understanding how to calculate and convert this volume into different units is essential for solving the question.
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05:21Volume Thermal Expansion
Metric System
The metric system is an international decimal system of measurement based on powers of ten. It includes units such as meters, liters, and grams. In this problem, converting cubic inches to liters requires familiarity with metric units, specifically the conversion of inches to centimeters and cubic centimeters to liters.
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06:06Metric Prefixes
Related Practice
Textbook Question
A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L (L = liter).
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Textbook Question
While driving in an exotic foreign land, you see a speed limit sign that reads 180,000 furlongs per fortnight. How many miles per hour is this?
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Textbook Question
Starting with the definition 1 in. = 2.54 cm, find the number of kilometers in 1.00 mile
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4
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Textbook Question
How many nanoseconds does it take light to travel 1.00 ft in vacuum? (This result is a useful quantity to remember.)
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Textbook Question
According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm, express this volume in cubic inches.
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