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ChrisVer
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I am having a question concerning multiple measurements of the period of a pendulum, for let's say the determination of [itex]g[/itex].
Let's say I am using a stopwatch with an uncertainty in time [itex]\delta t[/itex] and I measure 10 times the period of the pendulum: [itex]T_1, T_2,...,T_{10}[/itex].
Are the two following approaches equivalent?
WAY 1: determine the [itex]g_1, g_2, ...,g_{10}[/itex] from the periods and the [itex]\delta g[/itex] and then take the average+std.
WAY 2: obtain the average period [itex]T[/itex] and its std from the different measurements and calculate [itex]g \pm \delta g[/itex] from error propagation.
Let's say I am using a stopwatch with an uncertainty in time [itex]\delta t[/itex] and I measure 10 times the period of the pendulum: [itex]T_1, T_2,...,T_{10}[/itex].
Are the two following approaches equivalent?
WAY 1: determine the [itex]g_1, g_2, ...,g_{10}[/itex] from the periods and the [itex]\delta g[/itex] and then take the average+std.
WAY 2: obtain the average period [itex]T[/itex] and its std from the different measurements and calculate [itex]g \pm \delta g[/itex] from error propagation.
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