Filter
Top Products
EL-9900 Graphing Calculator
3
DisplayStep Key Operation
1
2
Specify the program mode.
Select the title INVOLUTE.
(Display of angle of obliquity)
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.
4
(Display of involute value)
5
Select involute calculation.
Select inverse involute
calculation.
Enter the initial value and the
involute value.
Enter the value of the angel
of obliquity.
5
CL
1B
SET UP
2nd F
1C
PRGM
A
ENTER
0005091•
ENTER
1
ENTER
01
ENTER
2
ENTER
ENTER
14 1•
6. Page Layout
2
EL-9900 Graphing Calculator
4
Involute
(Inverse Involute)
Use the involute function for calculating gears etc. to find the angle of obliquity
from the initial value and involute value.
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
Y
ANGLE
INVO
CALPRESS
Y
Y
N
N
N
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.
θ
i +1 =
θ
i -=
θ
i -
f(θ
i
)
f'(θ)
tan
2
θ
i
tanθ
i -
θ
i -a
f (
θ
) = a - inv
θ
SP: involute curve
S : involute starting point
θ : angle of obliquity of point P
Name of parameter
D, R, T, J
S
Z
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
θ
I
A
B
Content
angle of obliquity
involute value
input and output of angle
input of initial value
S = 2
int(10
8
D) 0
S = 1
0
q
Rg
P
S
a
θ
θ
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
2
D
180.0 (R-D)/π Z
If int (
10
8 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
Introduction
Brief explanation and
purpose of the section
Exercise
Example of problem to be
solved in the section
Set Up Condition
Important set up condition
before starting the exercise
in order to obtain correct
answers
Step
A step-by-step guide to solving the problems
and an explanation of the display
Key Operation
Illustration of the keys to be
operated
Display
Illustration of the calculator
screen as it should appear
if each step is carried out
correctly
Calculation
The formula to be used
in calculation and
definition of terms
Flowchart
Summary of steps from
start to end
Programme List
Procedure of data to
be entered
Parameters
Definition of the
parameters used in the
programme