College Physics Problem 1.28

A car engine moves a piston with a circular cross section of  7.500±0.002 cm diameter a distance of 3.250±0.001 cm  to compress the gas in the cylinder. (a) By what amount is the gas decreased in volume in cubic centimeters? (b) Find the uncertainty in this volume. [toggle] The average volume is Get the percent … Continue reading College Physics Problem 1.28

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College Physics Problem 1.27

The length and width of a rectangular room are measured to be 3.955 ±0.005 m and 3.050 ± 0.005 m . Calculate the area of the room and its uncertainty in square meters. [toggle] The average area of the room is Compute for the percent uncertainties of each dimension. The percent uncertainty in the area … Continue reading College Physics Problem 1.27

College Physics Problem 1.26

When non-metric units were used in the United Kingdom, a unit of mass called the pound-mass (lbm) was employed, where 1 lbm=0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of … Continue reading College Physics Problem 1.26

College Physics Problem 1.25

The sides of a small rectangular box are measured to be 1.80±0.01 cm, 2.05±0.02 cm, and 3.1±0.1 cm long. Calculate its volume and uncertainty in cubic centimeters. [toggle] The average volume of the box is The percent uncertainty for each of the dimensions: The percent uncertainty in the volume of the box is calculated by … Continue reading College Physics Problem 1.25