Width Width Uncertainty (cm) Height Length Uncertainty Height Uncertainty (cm) V

Question

Width Width Uncertainty (cm) Height Length Uncertainty Height Uncertainty (cm) Volume Mass Mass Measurin Device Length Volume Uncertainty (cm3) DensityDensity Uncertainty Uncertainty (em) (cm) (cm) (em3) (g/cm3) (g/cm3) Ruler 0.1 55.56 0.007 0.4 Cali 3.880 0.00 3.9 0.00 19.27 0.0 55.56 2.884 0.008 Table 1: Length, width, height, and mass data, with derived quantities. Trial Drop Time tdrop tdrop.avg 0.73 0.58 0.45 0.51 0.67 0.50 0.54 0.61 0.57 10 0.59 Table 2: Drop time data for dropping a tennis ball from 2 m

Explanation / Answer

The uncertainity in mass is dependant on the device used for measurement. It is fixed wether we try to calculate uncertainty in volume using callipers or ruler.

Since the vernier callipers are accurate to 0.002 cm which is lot less than the accuracy of ruler (0.1cm = 1 mm), the uncertainty in volume measured due to ruler is higher that the uncertainty in volume obtained from Vernier callipers. We know density as mass/volume, thus the uncertainity in density is directly affected by the uncertainty in volume. So we can expect uncertainty in density for ruler measurement to be higher than the uncertainty in density for vernier calliper measurement which is observed.

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