Sharp EL-9600, EL-9400 manual Layout

6. Page Layout
		EL-9600 Graphing Calculator				Programme List
						Procedure of data to
	Involute (Inverse Involute)
Introduction						be entered
	Use the involute function for calculating gears etc. to find the angle of obliquity from
Brief explanation and	the initial value and involute value.
	Conversely, calculate the involute value from the angle of obliquity.
purpose of the section	Calculation
	Involute function : inv	θ = tan θ - θ[rad]	P	θ		Exercise
	Use Newton's method to find the inverse involute:
	θ i +1 = θ i - f(θ i) = q i -	tan2 θ i	S a	θ	q
	f'(θ)	tanθ i - θ i -a				Example of problem to be
	S : involute starting point			Rg
Calculation	f ( θ) = a - inv q	SP : involute curve		0		solved in the section
		θ : angle of obliquity of point P

The formula to be used

Start

FLOWCHART

Title : INVOLUTE

PROGRAM LIST(REAL MODE)

in calculation and

Selection of type

Enter 1 or 2.

Label START

Input S

start

ClrT

Print "SELECT 1/2

definition of terms

Y

If S=1 Goto ANGLE

EL-9600 Graphing Calculator

Set Up Condition

Goto START

S = 1

If S=2 Goto INVO

Returns to START if entry

Print "InputExerciseBEGIN

To calculation of involute

Label ANGLE

N

N

To inverse involute calculation

Important set up condition

S = 2

ANGLE

neither 1 nor 2.

Input B

Y

Calculation of involute.

Print "Input INVOvalue is 10.

value and

Entry of initial

B Z

(1) Find the angle of obliquity when the involute value is 0.0050912 and the initial

involute value

Enter initial value and

Input I

before starting the exercise

Flowchart

involute value.

I J

(2) Find the involute value when the angle of obliquity is 14.1.

Calculation of

Angle of obliquity

tan Z

T

CALPRESS

Label CALPRESS

(T-R-J)/T2

D

Float Pt Mode.

angle of obliquity

calculated.

π Z/180.0

R

Set up condition: angle unit in Deg Mode and decimal point in

in order to obtain correct

Summary of steps from

int(108 D) 0 Y

of calculation of angle

If int (10ˆ8

D)≠0 Goto2nd FCALPSET UPRESB S* 1 * C * 1

*

CL

Judgment on repetition

180.0 (R-D)/π

Z

answers

N

of obliquity.

Print "ANGLE

Z A

start to end

INVO

End

Display of angle of obliquity

Print A

Step

Key Operation

Display

Entry of angle

Calculation of inverse

Label INVO

involute. Enter angle

of obliquity

of obliquity.

Print "Input ANGLE

Input A

Specify the program mode.

Calculation of involute

Involute value calculated.

A θ1

Select the title INVOLUTE.

2nd F

PRGM

A

*

value (display)

Involute value displayed.

tanθ -π

θ/180

I

Print "INVOLUTE

Key Operation

End

PARAMETERS

Print I

.

1

ENTER

Parameters

End

Illustration of the keys to be

Name of parameter

Content

Name of parameter

Content

Definition of the

D, R, T, J

working variable for calculating

θ

angle of obliquity

S

(S=1: involute calculation)

A

input and output of angle

operated

selecting calculation type

I

involute value

parameters used in the

(S=2: inverse involute calculation)

3

involute value.

B

Enter the initial value

and the

1

0

ENTER

input of initial value

Z

initial value, angle of obliquity

0

•

0

0 5 0 9 1

2

programme

When the mark appears on the key:

4

ENTER

(Display of angle of obliquity)

✽

● Same series of key strokes can be done

with screen touch.

calculation.

ENTER

● Key operations may also be carried out

4

Select inverse involute

2

ENTER

with the cursor (not shown).

Enter the value of the angel

1

4

•

1

5

of obliquity.

Display

Step

ENTER

(Display of involute value)

A step-by-step guide to solving the problems

Illustration of the calculator

screen as it should appear

and an explanation of the display

if each step is carried out

5

correctly

Note: This handbook is only an example of how to use programming function of the EL-9600. The layout may vary with each screen.

Contents

1.	Heron's Formula		1
2.	Calculating Tension		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 Vector*		12
8.	Linear Transformation*		14
9.	Moving Average		16
10.		Creating a Graph of Experimental Data	18
11.		Ordinary Differential Equations	20
12.		Analysing with One-way Layout Method	22
13.		Calculating Parabolic Motion	25

*only for EL-9600

Other books available:

Graphing Calculator EL-9600 TEACHER'S GUIDE

Graphing Calculator EL-9400 TEACHER'S GUIDE

Graphing Calculator EL-9600/9400 Handbook Vol. 1 (Algebra)