Model Equation for fitting In(Period) to In(Length) of a Pendulum (2 pts) Let 7= KL" be an exponential relationship where K and n are constants that fit the data best. This exponential function can be manipulated to resemble the standard linear function y = mx + b. In (T) = In(KL") = In(K) + In(Lm) In(T) = nin(L) + In (K) y = mx + b This is the equation of a straight line where the y-variable is In(T), the x-variable is In(L), In(K) is the constant y- intercept and n is the constant slope. This model equation should fit the data in your Plot #2 and be synonymous with the linear equation fit to that data. Note: The y-intercept is In(K) therefore K = ey-intercept What are your values for K and n? Substitute your values for K and n into T = KL".PENDULUM WORKSHEET PS 113L - Intro Physics I Lab / 50pts Name: Kyle Viramontes Section # : 3A Remember to save your worksheet as a PDF and upload it to the Canvas Assignment for submission. MEASUREMENT DATA FROM PENDLUM EXPERIMENT (10 PTS) Ru Avg Period Pendulu Vertical Relea Pendulu Variabl n # Pendulu Uncertain m Displaceme se m Mass, e m ty (s) Length, nt (m) Angle, m (kg) Adjust Period L (m) ed (s) (deg) 1 2.0096 .0001 1 09 5 19915 L, 0, m 2 2.0104 + .0001 .17 10 .19915 3 2.0132 + .0002 .26 15 19915 4 2.0151 + .0003 34 20 19915 5 2.0191 + .0006 1 42 25 19915 6 2.1172 + .0002 1.115 .10 5 19915 L 7 1.8828 + .0002 0.885 08 19915 L 8 1.7919 + .0003 0.8 07 19915 L 9 1.6489 + .0002 0.68 06 5 19915 L 1.501 + .0004 0.565 05 5 19915 L 11 1.3153 + .0005 0.440 04 .19915 L 12 2.0034 + .0004 1 09 .09920 m 13 2.006 + .0019 1 .09 5 49650 m