6. Two students, John and Jay are given a small cylinder of aluminium of known mass and asked to determine its density. (The 'accepted' density of aluminium is 2.702 g/cmº.) Since density is mass/volume, the students need to calculate the volume of the cylinder. The height and diameter of the cylinder need to be measured in order to calculate its volume John is told to use a simple plastic ruler and to make four independent measurements for each dimension. Jay is told to use a precision measuring tool called a micrometer. John – plastic ruler 2.2 g/cm 2.3 g/cm 2.7 g/cm 2.4 g/cm³ Jay – micrometer 2.703 g/cm³ 2.701 g/cm³ 2.705 g/cm³ 5.811 g/cm³

Physics for Scientists and Engineers: Foundations and Connections
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6. Two students, John and Jay are given a small cylinder of aluminium of known
mass and asked to determine its density. (The 'accepted' density of aluminium is
2.702 g/cm3.) Since density is mass/volume, the students need to calculate the
volume of the cylinder. The height and diameter of the cylinder need to be
measured in order to calculate its volume
John is told to use a simple plastic ruler and to make four independent
measurements for each dimension. Jay is told to use a precision measuring tool
called a micrometer.
John – plastic ruler
2.2 g/cm
2.3 g/cm
2.7 g/cm
2.4 g/cm3
Jay – micrometer
2.703 g/cm
2.701 g/cm
2.705 g/cm
5.811 g/cm
a. Which student's data is more accurate? Cite factor(s) that might affect the
measurement's accuracy.
b. Which student's data is more precise? Cite factor(s) that might affect the
measurement's precision.
Transcribed Image Text:6. Two students, John and Jay are given a small cylinder of aluminium of known mass and asked to determine its density. (The 'accepted' density of aluminium is 2.702 g/cm3.) Since density is mass/volume, the students need to calculate the volume of the cylinder. The height and diameter of the cylinder need to be measured in order to calculate its volume John is told to use a simple plastic ruler and to make four independent measurements for each dimension. Jay is told to use a precision measuring tool called a micrometer. John – plastic ruler 2.2 g/cm 2.3 g/cm 2.7 g/cm 2.4 g/cm3 Jay – micrometer 2.703 g/cm 2.701 g/cm 2.705 g/cm 5.811 g/cm a. Which student's data is more accurate? Cite factor(s) that might affect the measurement's accuracy. b. Which student's data is more precise? Cite factor(s) that might affect the measurement's precision.
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