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Sharp EL-9900 Handbook Vol. 2 Operation Manual

Graphing calculator programmes
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Graphing Calculator
EL-9900
Handbook Vol. 2
Programmes
For Advanced Levels
For Basic Levels

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Summary of Contents for Sharp EL-9900 Handbook Vol. 2

  • Page 1 Graphing Calculator EL-9900 Handbook Vol. 2 Programmes For Advanced Levels For Basic Levels...

  • Page 2: Table Of Contents

    Contents 1. Heron's Formula 2. Calculating Tension 3. Involute (Inverse Involute) 4. Calculating Illuminance and Luminous Intensity 5. Calculating Simple Harmonic Oscillation 6. Electric Power Consumed on an AC Circuit 7. Angle of Vector 8. Linear Transformation 9. Moving Average 10.

  • Page 3: Read This First

    Read this first This handbook was produced for practical application of the SHARP EL-9900 Graphing Calculator. This calculator includes a highly convenient programming function, which enables automatic processing of both simple and complex calculations any number of times. 1. Entering and Editing a Programme (Advanced keyboard mode only): Programmes can be entered and edited either by pressing the calculator keys or by downloading from a PC.
  • Page 4 Sending programmes from a PC: 1. Using the CE-LK2, select the Communication Port from the Link menu and click on the port to be used. 2. Turn off the EL-9900 and connect it to the PC. 3. Turn on the EL-9900 4.
  • Page 5 5. Troubleshooting: Following is a list of error codes and error messages. When errors occur, refer to pages 233 and 234 of the manual. Error Error message Error content code Syntax Syntax error found in equation/programme. Calculate Calculation-related error found (division by 0, calculation beyond range, etc.). Nesting Cannot nest more than 14 numerical values, or 32 functions during execution.
  • Page 6 Error Error message Error content code Lbl duplicate Labels with identical name found in programme. Lbl undefined Goto/Gosub encountered with no defined label. Lbl over More than 50 labels found in programme. Gosub stack Nesting of more than 10 subroutines found. Line too long Line contains more than 160 characters.
  • Page 7 6. Page Layout Programme List EL-9900 Graphing Calculator Procedure of data to Involute (Inverse Involute) be entered Introduction Use the involute function for calculating gears etc. to find the angle of obliquity from the initial value and involute value. Brief explanation and Calculation purpose of the section Involute function : inv = tan - [rad]...

  • Page 8: Heron's Formula

    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) (A + B + C) FLOWCHART PROGRAMME LIST (REAL MODE)

  • Page 9: Calculating Tension

    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 vertical line sin B...
  • Page 10 EL-9900 Graphing Calculator Exercise 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 point digit number in TAB 3 Mode, decimal point in Fix Mode, and angle unit in Deg Mode. 2nd F SET UP moto...
  • 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 = tan - [rad] Use Newton's method to find the inverse involute: f'( ) i +1...
  • Page 12 EL-9900 Graphing Calculator Exercise (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 Deg Mode and decimal point in Float Pt Mode.

  • Page 13: Calculating Illuminance And Luminous Intensity

    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 Exercise (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 luminous intensity 4000 candela. Set up condition: decimal point in Float Pt Mode.

  • Page 15: Calculating Simple Harmonic Oscillation

    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 angular velocity : displacement : x = A sin ( t) acceleration : a = - velocity : v = A cos ( t)
  • Page 16 EL-9900 Graphing Calculator PARAMETERS Name of parameter Content Name of parameter Content acceleration input of amplitude time input of period velocity input of time angle of velocity ( ) amplitude displacement period Xscl x-axis scale time increase Yscl y-axis scale Exercise Calculate angular velocity, etc., using period , amplitude 1 and time 3 seconds and display the changes on a graph.

  • Page 17: Electric Power Consumed On An Ac Circuit

    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.
  • Page 18 EL-9900 Graphing Calculator Exercise Find the power value of an AC circuit with resistance value 150 , voltage effective value 100V and frequency 50Hz and display on a graph the changes in power over a period of time. Set up condition: decimal point in Float Pt Mode. 2nd F SET UP Step...

  • Page 19: Angle Of Vector

    EL-9900 Graphing Calculator Angle of Vector Use the matrix operation feature to find the angle which forms the standard vector and vector. The angle can be calculated at one time against the multiple vectors. Calculation Calculating vector inner product b = | a | | b | cos •...
  • Page 20 EL-9900 Graphing Calculator PARAMETERS Name of parameter Content Name of parameter Content vector scalar quantity vector angle standard vector scalar quantity display calculating counter input of number of vectors input counter mat A vector components number of vectors mat B standard vector components input of x component mat C...

  • Page 21: Linear Transformation

    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 1. Symmetric transformation to 3. Similar transformation with ratio of x-axis (Case 1) similitude K around origin (Case 3) 0 -1...
  • Page 22 EL-9900 Graphing Calculator PARAMETERS Name of parameter Content Name of parameter Content angle y-coordinate ratio of similitude input of angle selecting type input of ratio of similitude (S=1: case 1, S=2: case 2, mat A coordinate after transformation S=3: case 3, S=4: case 4) mat H transformation data x-coordinate...

  • Page 23: Moving Average

    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 + ... + X + ...
  • Page 24 EL-9900 Graphing Calculator Parameters name of parameter content name of parameter content moving average moving sum counter starting point (x) counter starting point (y) counter Yscl scale of y-axis number of divisions input of number of divisions Exercise Find the moving average every three months (number of divisions: 3) from the following table of monthly sales.

  • Page 25: Creating A Graph Of Experimental Data

    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 Title : XY GRAPH Enter statistical data using Start statistics feature before ClrG...
  • Page 26 EL-9900 Graphing Calculator Exercise The following table shows examined water vapour pressure. Draw a graph of this data. Temperature [˚C] Pressure [mmHg] 4.581 9.205 17.532 31.826 55.339 92.558 149.47 223.79 355.29 525.90 760.00 Set up condition: decimal point in Float Pt Mode. 2nd F SET UP Step...

  • Page 27: Ordinary Differential Equations

    EL-9900 Graphing Calculator 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 Use the following four steps of Runge Kutta Gill method to find the equation X and Y from X...
  • Page 28 EL-9900 Graphing Calculator PARAMETERS Name of parameter Content Content Name of parameter value of 1+ (1/2) value of Xn-1 value of 1- (1/2) interval f (I,J) step calculating working area value of increase of X value of Yn-1 input of X increase of J input of Y value of Qn...

  • Page 29: Analysing With One-Way Layout Method

    EL-9900 Graphing Calculator Analysing 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 [X] = ( Xij) Analysis of variance chart of one-way layout method [A] = i ( j Xij)
  • Page 30 EL-9900 Graphing Calculator PARAMETERS Name of parameter Content Name of parameter Content number of levels variance factor input of data variance error loop 1 counter i ( jxij) indicating x degree of freedom factor repeated frequency degree of freedom error loop 2 counter degree of freedom total / a/ n...
  • Page 31 EL-9900 Graphing Calculator Step Key Operation Display Enter the statistical data ENTER in level 1. ENTER ENTER ENTER ENTER (Display of total of hormone 10 g) Enter the statistical data ENTER ENTER in level 2. ENTER ENTER ENTER (Display of total of hormone 20 g) ENTER Enter the statistical data ENTER...

  • Page 32: Calculating Parabolic Motion

    EL-9900 Graphing Calculator Calculating Parabolic Motion Display on a graph the altitude change and the horizontal distance over a period of time when an object is thrown at initial velocity V and angle , and find the horizontal distance and altitude after t seconds. Specify the angle in Deg. Calculation T - 1 gT X = V...
  • Page 33 EL-9900 Graphing Calculator PARAMETERS Name of parameter Content Name of parameter Content highest altitude Xscl scale of x-coordinate horizontal distance input of time period time initial velocity (V distance (after time Z) angle (released angle) altitude (after time Z) highest altitude when released at 90˚ time elapsed horizontal distance when released at 45˚...
  • Page 34 Key pad for the SHARP EL-9900 Calculator Advanced Keyboard Cursor movement keys Graphing keys Clear/Quit key Power supply ON/OFF key Variable enter key Secondary function specification key Calculation execute key Alphabet specification key Communication port for peripheral devices Display screen...
  • Page 35 Key pad for the SHARP EL-9900 Calculator Basic Keyboard Cursor movement keys Graphing keys Clear/Quit key Power supply ON/OFF key Variable enter key Secondary function specification key Calculation execute key Alphabet specification key Communication port for peripheral devices Display screen...
  • Page 36 Calculator Handbook or on our homepage. We regret that we are unable to return contributions. Also, please note that the problems you send us might be opened to the public at Sharp’s home page. We thank you for your cooperation in this project.
  • Page 37 Include an example of a problem which can be solved with the formula. Write 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 CORPORATION Osaka, Japan Fax: SHARP Graphing Calculator...
  • Page 38 SHARP CORPORATION OSAKA,JAPAN...

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