The radius and heights of a cylinder were each measured three time. r_1 = 10.5cm

Question

The radius and heights of a cylinder were each measured three time. r_1 = 10.5cm h_1 = 20.4cm r_2 = 11.0cm h_2 = 20.0cm r_3 - 10.7cm h_3 = 20.2cm Calculate the average radius/height and error radius/height and express it as r_meas = r plusorminus delta_r h_meas = h plusorminus delta_h(after calculation round to nearest 2 decimals) 10.5cm + 11.0 + 10.7/3 = 25.1cm^3 20.11 + 20.01 + 20.2/3 A falling marble was observed on another planet at its position at various times were recorded. Its velocity points were then calculated and then plotted on a graph with a line of best fit drawn through the points. At t = 10s, v = 115m/s, at time t = 19s, v = 220m/s. Using the data, find a value for gravity.

Explanation / Answer

1) average radius = (10.5 + 11 + 10.7)/3

                              = 10.73 cm

   error = 0.03 cm

average height = (20.4 + 20 + 20.2)/3

                         = 20.2 cm

error = 0.2 cm

2) Applying - v = u + at

=>   220 = 115 + a * (19 - 10)

=> value of gravity, a = 11.67 m/s2

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