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Sharp EL-9900 manual

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Table of contents for the manual

  • Page 1

    Graphing Calculator EL-9900 Handbook V ol. 2 Pr ogrammes For Advanced Levels For Basic Levels[...]

  • Page 2

    1. Heron's For mula 1 2. Calculating T ension 2 3. Involute (Inverse Involute) 4 4. Calculating Illuminance and Luminous Intensity 6 5. Calculating Simple Harmonic Oscillation 8 6. Electric Power Consumed on an AC Circuit 10 7. Angle of V ector 12 8. Linear T ransfor mation 14 9. Moving Average 16 10. Creating a Graph of Experimental Data 18 1[...]

  • Page 3

    A. U sing calculator keys ● Creating a new programme: 1. P ress to display the programme menu. 2. P ress to select the new programme menu. (See right) 3. Enter the programme title, then press . 4. Enter the programme. 5. P ress to finish programming. ● Editing a programme: 1. P ress to display the programme menu. 2. P ress and choose the number[...]

  • Page 4

    2. Executing a programme: 1. P ress to display the execute menu. 2. P ress and choose the number of the pr ogramme you wish to ex ecute. 3. F ollo w the instructions. ● Sending programmes fr om a PC: 1. Using the CE-LK2, select the Communication P ort from the Link menu and click on the port to be used. 2. T urn off the EL-9900 and connect it to [...]

  • Page 5

    5. T roubleshooting: F ollowing is a list of error codes and err or messages. When errors occur , refer to pages 233 and 234 of the manual. 01 Syntax Syntax error found in equation/prog ramme. 02 Calculate Calculation-related error found (division b y 0, calculation bey ond range, etc.). 03 Nesting Cannot nest more than 14 numerical values , or 32 [...]

  • Page 6

    40 Lb l duplicate Labels with identical name found in prog ramme. 41 Lb l undefined Goto/Gosub encountered with no defined label. 42 Lb l over More than 50 labels f ound in programme. 43 Gosub stac k Nesting of more than 10 subroutines f ound. 44 Line too long Line contains more than 160 characters . 45 Can’t return Retur n used without jumping f[...]

  • Page 7

    EL-9900 Graphing Calculator 3 Display Step Key Operation 1 2 Specify the program mode. Select the title INVOLUTE. (Display of angle of obliquity) Ex ercise (1) Find the angle of obliquity when the involute value is 0.0050912 and the initial value is 10. (2) Find the involute value when the angle of obliquity is 14.1. Set up condition: angle unit in[...]

  • Page 8

    EL-9900 Graphing Calculator Heron's Formula Use Heron's formula to find the area of a triangle when the sides (A,B,C) of the triangle are known. Calculation S = D (D - A) (D - B) (D - C) D = (A + B + C) 2 A C B FLOWCHART PARAMETERS PROGRAMME LIST (REAL MODE) Calculation of area Display of area Calculation of D Entry of sides Start End Ent[...]

  • Page 9

    EL-9900 Graphing Calculator Calculating Tension Use the law of sines to find the tension when a pole of weight W is suspended with two strings, and the strings are balanced with the angles from the vertical line A and B. Calculation FLOWCHART PARAMETERS PROGRAMME LIST (REAL MODE) Calculation of tensions Display of tensions Calculation of denominato[...]

  • Page 10

    EL-9900 Graphing Calculator 3 Display Step Key Operation 1 2 Specify the programme mode. Select the title TENSION. Tension T is 21.840kg and S is 23.795kg. Exer cise Calculate the tension assuming weight=40kg, angle A=30˚ 15' 20", and angle B=27˚ 45' 40". Enter the angles with sexagesimal numbers. Set up condition: decimal poi[...]

  • Page 11

    EL-9900 Graphing Calculator Involute (Inverse Involute) Use the involute function for calculating gears etc. to find the angle of obliquity from the initial value and involute value. Conversely, calculate the involute value from the angle of obliquity. Calculation Involute function : inv θ = tan θ - θ [rad] Use Newton's method to find the i[...]

  • Page 12

    EL-9900 Graphing Calculator 3 Display Step Key Operation 1 2 Specify the programme mode. Select the title INVOLUTE. (Display of angle of obliquity) Exer cise (1) Find the angle of obliquity when the involute value is 0.0050912 and the initial value is 10. (2) Find the involute value when the angle of obliquity is 14.1. Set up condition: angle unit [...]

  • Page 13

    EL-9900 Graphing Calculator Calculating Illuminance and Luminous Intensity Enter the luminous intensity of the luminous source, the distance, and the angle between the perpendicular line and light ray, to find the illuminance of the illuminated side. Conversely, find the luminous intensity of the source from the illuminance of the illuminated side.[...]

  • Page 14

    EL-9900 Graphing Calculator 3 Display Step Key Operation 1 2 Specify the programme mode. Select the title CAND LUX. (Display of luminous intensity) Exer cise (1) Find the luminous intensity of the luminous source of distance 10m, angle 60˚ and illuminance 20 lux. (2) Find the illuminance of the illuminated side of distance 10m, angle 60˚ and lumi[...]

  • Page 15

    EL-9900 Graphing Calculator Calculating Simple Harmonic Oscillation Enter period, amplitude and time to calculate displacement at specified time, acceleration, angular velocity, and velocity. Also, display the changes during the entered time period on a graph. Calculation FLOWCHART PROGRAMME LIST (REAL MODE) Entry of period and amplitude Entry of t[...]

  • Page 16

    3 Display Step Key Operation 1 2 Specify the programme mode. Select the title OSCILLAT. (Display of angular velocity) (Display of displacement) (Display of acceleration) (Display of velocity) Exer cise Calculate angular velocity , etc., using period π π π π π , amplitude 1 and time 3 seconds and display the changes on a graph. Set up condition[...]

  • Page 17

    EL-9900 Graphing Calculator Electric Power Consumed on an AC Circuit Enter the voltage effective value, frequency and resistance value to find the power value of the circuit with resistance R. Draw a graph of the changes in power over a period of time. Calculation FLOWCHART PARAMETERS PROGRAMME LIST (REAL MODE) Data entry Calculation of power Calcu[...]

  • Page 18

    EL-9900 Graphing Calculator Display Step Key Operation 1 2 Specify the programme mode. Select the title AC POWER. Exer cise Find the po w er value of an A C cir cuit with r esistance value 150 Ω , voltage effective value 100V and fr equency 50Hz and display on a graph the changes in po wer over a period of time. Set up condition: decimal point in[...]

  • Page 19

    EL-9900 Graphing Calculator A ngle of Vector Use the matrix operation feature to find the angle θ which forms the standard vector and vector. The angle can be calculated at one time against the multiple vectors. Calculation FLOWCHART PROGRAMME LIST (MATRIX MODE) Entry of number of vectors Definition of arrays Start End K = K + 1 Calculation of com[...]

  • Page 20

    EL-9900 Graphing Calculator 3 Display Step Key Operation 1 2 Specify the programme mode. Select the title VECTOR. Exer cise Calculate the angle formed by the follo wing 3 vectors and standard v ector (2,3). vector 1 (5, 8) vector 2 (7, 4) vector 3 (9, 2) Set up condition: angle unit in Deg mode, and decimal point in Float Pt mode. 4 5 (Display of a[...]

  • Page 21

    EL-9900 Graphing Calculator Linear Transformation Use the matrix to find four types of the linear transformation of x-axis symmetric transformation, y-axis symmetric transformation, similar transformation and revolution around the origin. Calculation FLOWCHART PROGRAMME LIST Array declaration Entry of coordinates (X,Y) Start End Entry of type To la[...]

  • Page 22

    EL-9900 Graphing Calculator 3 Display Step Key Operation 1 2 Specify the programme mode. Select the title LINE TRN. Ex ercise 1. T ransform symmetrically the point (3, 5) to the x-axis. 2. Rotate the point (2, 6) at 45 ˚ ar ound the origin. Set up condition: angle unit in Deg Mode and decimal point in Float Pt Mode. PARAMETERS Name of parameter B [...]

  • Page 23

    EL-9900 Graphing Calculator Moving Average Plot a moving average graph which helps to understand how the results change over a specified period. The progress of sales and amounts of consumption and production can also be seen. Calculation FLOWCHART PROGRAMME LIST Entry of number of divisions Start End COUNT MOVINGSUM Setting of calculation range En[...]

  • Page 24

    EL-9900 Graphing Calculator 3 Display Step Key Operation 1 2 Enter statistical data into L1. Exer cise Find the mo ving average ev ery three months (number of divisions: 3) fr om the following table of monthly sales. On the graph, Xmax = 8, Ymin = 300, and Ymax = 450. Set up condition: decimal point in Float Pt Mode. Parameters name of parameter H [...]

  • Page 25

    EL-9900 Graphing Calculator Creating a Graph of Experimental Data Graph the results of an experiment and examine the trends. (Example: examined data relating to water vapour pressure and temperature.) FLOWCHART PROGRAMME LIST Graph plot Start Enter statistical data using statistics feature before executing program. Counter Data as coordinates (star[...]

  • Page 26

    EL-9900 Graphing Calculator 3 Display Step Key Operation 1 2 Enter statistical data into L1 and L2. … Exer cise The following table shows examined water v apour pressur e. Draw a graph of this data. Set up condition: decimal point in Float Pt Mode. Temperature [ ˚ C] Pressure [mmHg] 0 4.581 10 9.205 20 17.532 30 31.826 40 55.339 50 92.558 60 149[...]

  • Page 27

    EL-9900 Graphing Calculator 20 Ordinary Differential Equations Enter the initial conditions (X, Y) with the step H and interval T. Use Runge Kutta Gill method to solve the ordinary differential equation of first order. Calculation FLOWCHART PROGRAMME LIST (REAL MODE) Entry of data Initial setting Start Gosub Enter Data. Data for calculation set. Ca[...]

  • Page 28

    EL-9900 Graphing Calculator PARAMETERS Name of parameter A B F H K O P Q R Content value of 1+ (1/2) value of 1- (1/2) f (I,J) step calculating working area value of Yn-1 increase of J value of Qn value of Rn Name of parameter S T I J Z X Y M N Content value of Xn-1 interval Xn Yn value of increase of X input of X 0 input of Y 0 indicates Xn indica[...]

  • Page 29

    EL-9900 Graphing Calculator A nalysing with One-way Layout Method Use the one-way layout method to verify whether there is a relation to the results achieved based on one condition. Analysis of variance is carried out with this method. Calculation FLOWCHART PROGRAMME LIST (STAT MODE) Entry of number of levels and repeat frequency Start End Enter no[...]

  • Page 30

    EL-9900 Graphing Calculator PARAMETERS Name of parameter A I K J N S X Z F E M P Content number of levels input of data loop 1 counter indicating Σ x repeated frequency loop 2 counter ( ΣΣ xi) 2 / a/ n Σ i Σ j (xij) 2 variance ratio factor sum of squares factor sum of squares error sum of squares total Name of parameter V U Y Q R D T L W B C C[...]

  • Page 31

    EL-9900 Graphing Calculator 6 Display Step Key Operation 4 5 (Display of total of hormone 10 g) (Display of total of hormone 20 g) (Display of total of hormone 30 g) 7 (Display of sum of squares) (Display of error sum of squares) 8 (Display of sum of squares) 9 (Display of degrees of freedom) (Display of degrees of freedom about errors) 10 (Display[...]

  • Page 32

    EL-9900 Graphing Calculator Calculating Parabolic Motion Display on a graph the altitude change and the horizontal distance over a period of time w hen an object is thrown at initial velocity V 0 and angle θ , and find the horizontal distance and altitude after t seconds. Specify the angle in Deg. Calculation FLOWCHART PROGRAMME LIST (REAL MODE) E[...]

  • Page 33

    EL-9900 Graphing Calculator PARAMETERS Name of parameter H L T X Y D Yscl Content highest altitude horizontal distance time distance (after time Z) altitude (after time Z) time elapsed scale of y-coordinate Name of parameter Xscl Z V θ C B A Content scale of x-coordinate input of time period initial velocity (V 0 ) angle (released angle) highest a[...]

  • Page 34

    K ey pad for the SHARP EL-9900 Calculator Graphing keys Power supply ON/OFF key Secondary function specification key Alphabet specification key Display screen Cursor movement keys Clear/Quit key Variable enter key Calculation execute key Communication port for peripheral devices Advanced Keyboar d[...]

  • Page 35

    K ey pad for the SHARP EL-9900 Calculator Graphing keys Power supply ON/OFF key Secondary function specification key Alphabet specification key Display screen Cursor movement keys Clear/Quit key Variable enter key Calculation execute key Communication port for peripheral devices Basic Keyboar d[...]

  • Page 36

    Dear Sir/Madam W e would like to take this opportunity to invite you to create a mathematical problem which can be solved with the SHARP EL-9900 graphing calculator , including the necessary procedures and definitions as out- lined in the for m below. For this purpose, we would be grateful if you could complete the form and retur n it to us by fax [...]

  • Page 37

    SHARP CORPORA TION Osaka, Japan Fax : P ARAMETERS: Define the parameters used in the programme. EXERCISE and SET UP CONDITION: Include an example of a problem which can be solved with the formula. W rite a step-by-step guide to solving the problem with an explanation. Detail any important conditions to be set up before solving the problem. SHARP Gr[...]

  • Page 38

    SHARP CORPORA TION OSAKA,JAPAN[...]