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Exercise 3. The period of a pendulum T is given by the following equation Where is the length of the pendulum, and g is the gravitational acceleration 9.81 m/s2. Table 3 shows the data of the period of a pendulum as a function of length Table 3 T(s) 0.200 0.400 0.600 0.800 1.00 1.20 0.910 1.26 1.58 1.80 2.08 2.22 1. Plot T vs. . (7 points) 2, Plot vs. l. Before you do this however you number determine the numerical value of x. Hint: Using the given equation for the period of a pendulum ALGEBRAICALLY solve for. (14 points)3. Find the Best-Fit Line of Tx vs. l. Calculate the slope’s value, with its units. (5 points)

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Solution (A Shaws TiS T2Cs) 6.82) t.S3 76 .4a6y 0.4o0 0、600 O - 800 1 oo 1-58 Ta Polt ocoing figuy e Shou» ttp gto@h b(ω T Qná l2.5 1.5 0.5 0 0.2 0.4 0.6 0.8 1.2 1.4essoor tu line peviod is giuen by N3 fguy-4.2088x-0.045 4 0 0.2 0.4 0.6 0.8 1.2 1.4 From the graph, the vale of the slope is 4.2088 s /m

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