Sharp EL-9600 User Manual download pdf (Page 9)

EL-9600/9400 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 inverse involute:

FLOWCHART

PARAMETERS

PROGRAMME LIST

(REAL MODE)

Selection of type

Entry of initial

value and

involute value

Calculation of

angle of obliquity

Display of angle of obliquity

Start

End

start

ANGLE

INVO

CALPRESS

Calculation of involute

value (display)

Entry of angle

of obliquity

Enter 1 or 2.

To calculation of involute

Calculation of involute.

Enter initial value and

involute value.

Angle of obliquity

calculated.

Judgment on repetition

of calculation of angle

of obliquity.

Calculation of inverse

involute. Enter angle

of obliquity.

Involute value calculated.

Involute value displayed.

To inverse involute calculation

Returns to START if entry

neither 1 nor 2.

i +1

f(θ

)

f'(θ)

tan

tanθ

-a

f (

) = a - inv

SP: involute curve

S : involute starting point

θ : angle of obliquity of point P

Name of parameter

D, R, T, J

Content

working variable for calculating

selecting calculation type

(S=1: involute calculation)

(S=2: inverse involute calculation)

initial value, angle of obliquity

Name of parameter

Content

angle of obliquity

involute value

input and output of angle

input of initial value

S = 2

int(10

D) 0

S = 1

Label START

ClrT

Print "SELECT 1/2

Input S

If S=1 Goto ANGLE

If S=2 Goto INVO

Goto START

Label ANGLE

Print "Input BEGIN

Input B

B Z

Print "Input INVO

Input I

I J

Label CALPRESS

tan Z T

π Z/180.0 R

(T-R-J)/T

180.0 (R-D)/π Z

If int (

ˆ8 D)≠0 Goto CALPRESS

Z A

Print "ANGLE

Print A

End

Label INVO

Print "Input ANGLE

Input A

A θ

tanθ -π θ/180 I

Print "INVOLUTE

Print I

End

Title : INVOLUTE

HB2.Doc02. 98.10.1, 0:24 PM4

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Sharp EL-9600 User Manual Page 9

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