Sharp EL-9900 Introduction, Exercise, Calculation, Set Up Condition, Flowchart, Key Operation

6. Page Layout

		Programme List
	EL-9900 Graphing Calculator
		Procedure of data to
	Involute (Inverse Involute)
Introduction		be entered
	Use the involute function for calculating gears etc. to find the angle of obliquity

Brief explanation and	from the initial value and involute value.
	Calculation
purpose of the section
	Involute function : inv θ = tan θ - θ [rad]			P	θ		Exercise
	Use Newton's method to find the inverse involute:
				S a
	θ i +1 = θ i - f(θ i) = θ i -	tan2	θ i		θ	q
	f'(θ )	tanθ i -	θ i -a				Example of problem to be
	f (θ ) = a - invθ	S	: involute starting point			Rg
Calculation		SP : involute curve			0		solved in the section
		θ : angle of obliquity of point P

The formula to be used

Start

FLOWCHART

Title : INVOLUTE

PROGRAMME LIST(REAL MODE)

in calculation and

Selection of type

Enter 1 or 2.

Label START

Print "SELECT 1/2

start

ClrT

definition of terms

Input S

EL-9900 Graphing Calculator

S = 1

Y

To calculation of involute.

If S=1 Goto ANGLE

Set Up Condition

Goto START

If S=2 Goto INVO

Returns to START if entry

Print "InputExerciseBEGIN

N

N

To inverse involute calculation

Label ANGLE

Important set up condition

S = 2

ANGLE

neither 1 nor 2.

Input B

Y

value and

Calculation of involute.

Print "Input INVOvalue is 10.

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

of calculation of angle

If int (10 8

D)≠ 0 Goto2nd FCALPSET UPRESB S 1 C

1

CL

Judgment on repetition

180.0 (R-D)/π

Z

answers

INVO

Display of angle of obliquity

of obliquity.

Z A

End

start to end

N

Print "ANGLE

Calculation of inverse

Print A

Step

Key Operation

Display

Entry of angle

involute. Enter angle

Label INVO

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.

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)

B

input of initial value

1

0

ENTER

3

Enter the initial value

and the

0

•

0

0 5 0 9 1

2

programme

Z

initial value, angle of obliquity

involute value.

4

ENTER

(Display of angle of obliquity)

Select inverse involute

ENTER

4

calculation.

Enter the value of the angel

2

ENTER

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