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Please help me with tables 4 and 5 and my excel graph! Thank you for your time! Part 4: Calculating the Acceleration Due to Gravity
Please help me with tables 4 and 5 and my excel graph! Thank you for your time!
Part 4: Calculating the Acceleration Due to Gravity 33 Calculate the square of the period for the three different pendulum lengths recorded in Data Table 2 and record the value in Data Table 4. 34 Calculate the acceleration due to gravity for the 1.50 m, 1.00 m and 0.50 m pendulum lengths using the T2 values calculated in step 33 and the equation: 472 L g = T2 35 Record the calculated values for g in Data Table 4. 36 Calculate the uncertainty in your calculated values of the acceleration due to gravity using estimates of the uncertainty in time and distance measurements based on your experimental procedure: Ag = 9 (-7 ) +( 37 Record the calculated values for Ag in Data Table 4. 38 Calculate the percent error between each of your calculated values for the acceleration due to gravity and the accepted value of 9.81 m/s2: Percent Error = Measured Value - Accepted Value x 100% Accepted Value 39 Record the calculated values for Percent Error in Data Table 4.Data Table 1: Amplitude and Period for L = 1.50 m, m = 50 g Angle (") Time 1 (s) Time 2 (s) Time 3 (s) Average Period (s) Observations time (s) 5 25.8 24.5 24.5 24.933 2.493 Pretty fast 10 25.6 25.2 24.8 25.2 2.52 Not as fast 20 25.3 25.0 25.2 25.166 2.5166 The slowest Data Table 2: Length and Period for 0 = 100, m = 50 g Length (m) Time 1 (s) Time 2 (s) Time 3 (s) Average Period (s) Observations time (s) 1.50 25.5 25.1 24.7 25.1 2.51 Pretty Slow 1.00 19.8 20.3 20.0 20.033 2.003 Low times 0.50 15.0 14.9 14.9 14.933 1.493 Lowest times40 Use graphing software to generate a graph of Length on the vertical axis versus Period Squared on the horizontal axis. Include a title, axis titles with units, and add a trendline, showing the equation on the graph. Upload an image of the graph to Graph 1. 41 Calculate the acceleration due to gravity using the slope of the trendline from the graph and the equation for the period of a pendulum: 472 L 9 = - = slope x 472 42 Record the calculated value for gin Data Table 4. 43 Repeat steps 38-39 for the value of g calculated from the slope of the trendline. Part 5: Energy in Simple Harmonic Motion 44 Calculate the amplitude for the 1.00 m length pendulum with the 50 g pendulum bob displaced to 10 using the arc length equation: A = 0 XL 45 Record the calculated value for A in Data Table 5. Note: The arc length equation requires the angle to be measured in radians: 0 x T / 180 = 0(rad). 46 Calculate the maximum potential energy for the 1.00 m length pendulum with the 50 g pendulum bob displaced to 10 using the equation: Umar = mg A2Data Table 3: Mass and Period for B = 10, L = 1.0 m Mass [3] Time 1 [s] Time 2 [s] Time 3 [5] Average Penn"! [5} Observations time [5} \" 20.03 2.003 EE-___ 20.66? 2.066 m 20.833 \" Data Table 4: Acceleration Due to Gravity for E! = 10\4? Record the calculated value for Umax in Data Table 5. 48 Calculate the maximum kinetic energy for the 1.00 m length pendulum with the 50g pendulum bob displaced to 10" using the equation: 49 Record the calculated value for Kmax in Data Table 5. 50 Calculate the percent difference between the maximum kinetic energy and maximum potential energy using the equation: Um_ mar (%) Percent Difference : )Step by Step Solution
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