Simple Pendulum - Length variation (Special Lab Report) Objective: Determine the effect of the length the pendulum on its frequency while we keep constant the mass (m) and the amplitude (0) (see below figure) point of suspension 10 amplitude (angle) Length (L) mass (m) Table 1. Simple Pendulum - Length variation Length Time taken for 5 oscillations (L) (m) Average Period (T) Frequency () t1 (s ) t2 (s ) t3 (s) time, t (s) (s) (Hz ).20 ).30 0.40 0.5 0.60 ).70 0.80 ).90 1.00 Add the questions and the respective answers at the end of the Discussion section of the lab report. Graph the data using Excel. Note: If the relation between variables is not linear, you do NOT need to fit the data with a linear equation. Just use a trend line to connect the points with the best curve. 1. Plot frequency (f ) (y-axis) vs. length (L) (x-axis). Is the relation between frequency and length linear?2. Plot frequency (at) (y-axis) vs. the inverse of length (l/L) (x~axis). Is the relation between frequency and the inverse of length linear? 3. Plot frequency square on) (y-axis) vs. inverse of length (l/L) (x-axis). What is the relationship between frequency square and the inverse of length? 4. Find the experimental equation that correlates frequency square (f 1") and the inverse of length (ltL) using Excel. Write the nal equation with the appropriate variables (42 and 1/L ). 5. What are the value and units of the slope? 6. Compare the experimental equation determined by using excel for f 2 vs. lfL with the theoretical equation that W2 vs. l/L: 1 f2 i2; (Theoretical equation) 7. What part of the theoretical equation is equal to the slope of the experimental equation? 8. Calculate the experimental acceleration of gravity (g) using the relation found in Q7. Is this value close to the theoretical value of the acceleration of gravity (gtheoretical = 9.8 m/s2) 9. Use the given equation to calculate the percentage of error: %Error = Jexperimental - theoretical . 100 theoretical Note: Do not forget to add the inverse length (1/L) and the frequency squared (f? ) data to Table 1.Special Lab Report 2 Lab: Simple Pendulum Length variation 1. Read and follow the procedure to conduct the experiment using the interactive simulation program. Si_mp|e Pendulum Length variation - Procedurep 2. Complete the Lab-sheet Si_mple Pendulum Length variation-Labsheet.doc DO NOTTURIN IN THIS LAB SHEET INSTEAD, COMPLETE THE SPECIAL LAB REPORT 3. Read the special lab report guidelines document Special Lab report-guidelines-SCI-141.p i 4. Read these examples of an abstract and a conclusion Abstract and conclusion exampm' i, 5. Additional guidelines Special Lab Report 2 -Additional Guidelines.pd_f i 6. Complete the Special Lab Report. 7. Submit the Special Lab Report