Phy 211 General Physics I Chapter 1 Worksheet Units Measurement 1 Unit Conversion Convert the following quantities and express your answers using the appropriate number of significant figures a 2 3 kg g b 5 50 L mL c 2 4 cm m d 24 3 cal J 1 cal 4 184 J e 115 2 qt L 1 L 1 057 qt f 1013 kg m3 g mL 1 mL 1 cm3 g 100 0 mL hr cm3 s 1 hr 60 min 3600 s Length A single carbon atom has a diameter of approximately 2 0 angstroms The angstrom unit is related to the meter by the following 1 angstrom 10 10 m i What is the SI unit for length ii How is the SI unit for length defined iii Express the diameter of a carbon atom in the following units use scientific notation a nanometers nm b micrometers m c millimeters mm d kilometers km iii How many carbons would you need to stack side by side to make a 1 0 inch long carbon atom chain Phy 211 General Physics I Chapter 1 Worksheet Units Measurement 2 Time The period of revolution of the dwarf planet Pluto is 248 years y According to the textbook the year unit is related to the day d by the following 1 yr 365 25 d i What is the SI unit for time ii How is the SI unit for time defined iii Express the revolution period of Pluto in the following units use scientific notation a seconds s b microseconds s c milliseconds ms d nanoseconds ns Mass The most common isotope of hydrogen atom consisting of a single proton and an electron has an accepted mass of 1 0078 atomic mass units The atomic mass unit is related to the gram g by the following 1 u 1 6605x10 24 g i What is the SI unit for mass ii How is the SI unit for mass defined iii Express the mass of this hydrogen isotope in the following units use scientific notation a nanograms ng b micrograms g c milligrams mg d kilograms kg Phy 211 General Physics I Chapter 1 Worksheet Units Measurement 3 Errors in Measurement An engineer performs a series of measurements to determine the volume of a cylinder The measurements are as follows Trial Height cm Diameter cm 1 1 20 0 625 2 1 22 0 615 3 1 23 0 628 4 1 22 0 619 5 1 21 0 600 Diameter Height Height i Calculate the average height of the cylinder ii Calculate the average radius of the cylinder iii Calculate Range for the height and radius measurements iv Express the height H and radius r values as Avg Value Uncertainty Note the uncertainty is one half the Range value Havg dH ravg dr v Calculate the average volume of the cylinder iv Estimate the uncertainty of these measurements by taking the derivative of the volume equation then inserting the average and uncertainty values for both height and radius
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