User manual TEXAS INSTRUMENTS CBR

[. . . ] GETTING STARTED WITH CBRTM INCLUDING 5 STUDENT ACTIVITIES Calculator-Based Rangeré (CBRé) Important notice regarding book materials Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed the purchase price of this book. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party. All rights reserved. R GE IG TR R CB 85 -8 6 TE S XA IN TS EN M RU ST )) ) 92 calculator-to-CBR cable clamp 4 AA batteries Permission is hereby granted to teachers to reprint or photocopy in classroom, workshop, or seminar quantities the pages or sheets in this work that carry a Texas Instruments copyright notice. [. . . ] Answer questions 11, 12 and 13. Data collection 6 Repeat the data collection with a significantly lighter or heavier weight, and then answer question 14. Model the distance-time behavior of the pendulum using the form for a sinusoidal function, S = A sin (wt + d), where S is the instantaneous position, A is the amplitude, w is the frequency, d is the phase angle, and t is the time. The frequency, w, is related to the period, T, by w = 2 p à T . Enter this equation in the Y= editor using the calculated values of A and w. Simultaneously graph this function and the statistical plot of L1 (time) versus L2 (distance). On the TI-83 or TI-86, use the sine regression to determine the values. Explore the relationship between position and velocity by plotting L2 (distance) versus L3 (velocity). Compare the actual result to your prediction. COPYING PERMITTED PROVIDED TI COPYRIGHT NOTICE IS INCLUDED © TEXAS INSTRUMENTS INCORPORATED GETTING STARTED WITH CBR 23 Activity 3--Pendulum Data collection Name ___________________________________ 1. How far will you pull the pendulum away from the equilibrium position?_____________________________________________________ Calculate how long (in seconds) it took to complete one period. _____________________________ What is the benefit of timing ten complete periods instead of just one?Use the answer to question 2, and approximate the total distance traveled in one cycle. _________ Why is this value shorter than the actual distance traveled in one cycle?__________________________________________ How is the value from question 1 represented on the plot?______________________________________ ____________________________________________________________________________________ 7. Using data collected from your plot, calculate the number of complete cycles per second. ________ Why is it easier to determine this using the second plot (spanning 5 seconds) rather than the first one (spanning 10 seconds)?_____________________________________________________________ 8. How does shortening the string length affect the period of the pendulum?_____________________ How does lengthening the string affect the period of the pendulum?__________________________ 10. What is the relationship between the amplitude of the pendulum swing and the total distance that the pendulum travels in one period?_____________________________________________________ ____________________________________________________________________________________ Advanced explorations 11. List similarities and differences. ______ ____________________________________________________________________________________ 12. [. . . ] The TI-85 does not have statistical plotting capabilities, so some explorations (such as using on plotted data) are not possible on the TI-85. Lost calculator-to-CBR cable You can use the calculator-to-calculator cable that came with the calculator. (The calculator-to-calculator cable is much shorter, so you may wish to order a replacement cable. ) Before storing the CBR, properly exit the RANGER program (using QUIT) or any other CBR or CBL program, and disconnect CBR from the calculator. If you edit or view the RANGER program, the next time you run it, it may take up to two minutes for the calculator to prepare the program to run. See the calculator manual. Frequently low batteries When you try to run the RANGER program, nothing happens Error message: Variable is locked or protected (TI-92 only) COPYING PERMITTED PROVIDED TI COPYRIGHT NOTICE IS INCLUDED. [. . . ]