You use a force sensor to measure the weight of an object 10 times, and get the

Question

You use a force sensor to measure the weight of an object 10 times, and get the following values: 2.8, 2.6, 2.9, 3.1, 2 4, 2.9, 3.2, 2.5, 2.7, 3.0, where all ten values are in units of N. What is the mean weight of the object, as well as the measurement uncertainty of the weight? You measure the mass of the object from question 1 to be m = 300.8 g with an uncertainty of plusminus 0.1 g. Using this value of mass and the mean weight from question 1, calculate the acceleration of gravity g, as well as the uncertainty in your calculated value of g. If the accepted value of g is 9.8 m/s^2, what is the percent error of you calculated value of g?

Explanation / Answer

1.

Mean

Wavg=(2.8+2.6+2.9+3.1+2.4+2.9+3.2+2.5+2.7+3)/10

Wavg=2.81

uncertainity in measurement

dW=Wmax-Wmin/2 =(3.2-2.4)/2 =0.4

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