Question
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calculate the density of the ball from each volume value and mass measurement using th proper and enter the values your table. o Calculate the mean and standard deviation of the density data set and also enter them into your table. For example, if you were the engineer whose job it was to design a rail system and you didn't take uncertainties properly into account, look what could happen. From this section we have hopefully learned that in order to get the best estimate of a derived quantity, such as density, one can take independent measurements of the input quantities mass, diameter), and then multiple combinations the calculate the derived using the various of put quantities. The mean of the derived quantity would then represent our best while the standard deviation would represent the uncertainty in our quantity. Hopefully though, while we see this to build understanding and intuition, it would be a terrible is a exercise should instead make a best of input quantities, using the our best division on our measuring apparatus as a measure of our Then using of our input parameters calculate a best estimate of our derived quantity. The certainty in quantity can be obtained using our rules for error propagation. "t Note: when we do only measurement and not measurements, we typically u the smallest division" of our measuring apparatus as the uncertainty in our measurement (standard deviation) AppendexA How to use the vernier caliper: If you are unfamiliar with the use of the vernier caliper, A diagram is presented below. 577 .55 .027 577" 4.065 1465 mm There are two scales on the vernier caliper instrument, the top two scales use inches, and the bottom two scales use millimeters. Let's see how we read a measurement of length of I4.65 Note: The scale that runs from 0 to 130 (your caliper might run to 120), we are going to cal this scale the top scale. Each of those divisions i 1 mm. Note the smaller scale right below, the
Explanation / Answer
a) The smallest division one can read using the vernier caliperse is equal to its least count
Here it is equal to 0.05 mm.
b) In triple beam balance we have two beams, middle beams measure 100 gms increments and far beam measure 10 gm increments.
So minimum weight to deisturb the triple balance is 10 gm that disturbs the far beam.
c) The determined density values are 7.668, 7.556. 7.668, 7.456, 7.587.
The standard deviation is 0.079.
