Exam 6: Fundamental Dimensions and Units

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Write the fundamental SI units adjacent to each of the fundamental dimension given. Length _________ Temperature _________ Electrical Current _________ Time _________ Luminous intensity _________ Mass _________ Amount of a substance _________

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The force between two charged particles can be calculated using the following equation: The force between two charged particles can be calculated using the following equation:   where   force in Newtons (N) k = electrostatic constant   charge of particle #1 in Coulombs (C)   charge of particle #2 in Coulombs (C)   distance between particles in meters (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? where The force between two charged particles can be calculated using the following equation:   where   force in Newtons (N) k = electrostatic constant   charge of particle #1 in Coulombs (C)   charge of particle #2 in Coulombs (C)   distance between particles in meters (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? force in Newtons (N) k = electrostatic constant The force between two charged particles can be calculated using the following equation:   where   force in Newtons (N) k = electrostatic constant   charge of particle #1 in Coulombs (C)   charge of particle #2 in Coulombs (C)   distance between particles in meters (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? charge of particle #1 in Coulombs (C) The force between two charged particles can be calculated using the following equation:   where   force in Newtons (N) k = electrostatic constant   charge of particle #1 in Coulombs (C)   charge of particle #2 in Coulombs (C)   distance between particles in meters (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? charge of particle #2 in Coulombs (C) The force between two charged particles can be calculated using the following equation:   where   force in Newtons (N) k = electrostatic constant   charge of particle #1 in Coulombs (C)   charge of particle #2 in Coulombs (C)   distance between particles in meters (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units? distance between particles in meters (m) What is the appropriate unit for k if the preceding equation is to be homogeneous in units?

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How many times does the average human heart beat during an average lifetime (75 years)?

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An engineering professor weighs 200 lbf.Express the mass and the weight of the professor in SI and U.S.Customary units.

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A swimming pool is 50 m long, 10 m wide and 3 m deep.Express the volume of the water in the swimming pool in ft3 and gallons.

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The ice at a certain hockey rink is made by freezing water that is 3.81 cm deep.How many liters of water does it take? Approximate the rink as a The ice at a certain hockey rink is made by freezing water that is 3.81 cm deep.How many liters of water does it take? Approximate the rink as a   by   rectangle. by The ice at a certain hockey rink is made by freezing water that is 3.81 cm deep.How many liters of water does it take? Approximate the rink as a   by   rectangle. rectangle.

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Dimension is a physical quantity, such as length, time, mass, or temperature, that makes it possible for us to communicate.

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What is the difference between "dimensions" and "units?"

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We need not only physical dimensions to describe our surroundings but also some way to scale or divide these physical dimensions.

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What is the SI unit for torque?

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Convert the information given in the table below from the U.S.customary units to SI units. Convert the information given in the table below from the U.S.customary units to SI units.

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A one degree temperature difference in Fahrenheit is equal to one degree temperature difference in Rankine.

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Which of the following are fundamental SI units?

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A one degree temperature difference in Celsius is equal to one degree temperature difference in Kelvin.

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The speed of sound in a fluid can be calculated using the following equation: The speed of sound in a fluid can be calculated using the following equation:   where   speed of sound in     bulk modulus   fluid density in   What is the appropriate unit for B if the preceding equation is to be homogeneous in units? where The speed of sound in a fluid can be calculated using the following equation:   where   speed of sound in     bulk modulus   fluid density in   What is the appropriate unit for B if the preceding equation is to be homogeneous in units? speed of sound in The speed of sound in a fluid can be calculated using the following equation:   where   speed of sound in     bulk modulus   fluid density in   What is the appropriate unit for B if the preceding equation is to be homogeneous in units? The speed of sound in a fluid can be calculated using the following equation:   where   speed of sound in     bulk modulus   fluid density in   What is the appropriate unit for B if the preceding equation is to be homogeneous in units? bulk modulus The speed of sound in a fluid can be calculated using the following equation:   where   speed of sound in     bulk modulus   fluid density in   What is the appropriate unit for B if the preceding equation is to be homogeneous in units? fluid density in The speed of sound in a fluid can be calculated using the following equation:   where   speed of sound in     bulk modulus   fluid density in   What is the appropriate unit for B if the preceding equation is to be homogeneous in units? What is the appropriate unit for B if the preceding equation is to be homogeneous in units?

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A 500 sheet rim of copy paper has a thickness of 2.25 inch.What is the average thickness of each sheet in mm?

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A motorcyclist who weighs 160 lbf accelerates his motorcycle at a rate of 10 ft/s2 over a distance of 100 yards in 5 seconds.Convert all of the values given to SI units.

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What is the SI unit for angular velocity?

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When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation: When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? where When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? change in area in When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? original area in When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? area coefficient of thermal expansion When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? change in temperature in When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? What is the appropriate unit for When an aluminum cookie sheet is placed in an oven and heated up, it expands due to the temperature change.The change in area of the cookie sheet is modeled using the following equation:   where   change in area in     original area in     area coefficient of thermal expansion   change in temperature in   What is the appropriate unit for   if the preceding equation is to be homogeneous in units? if the preceding equation is to be homogeneous in units?

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An individual running on a treadmill machine generated an average power of approximately 0.27 hp.Express this power in Watts.

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