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EL-9600/9400 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
FLOWCHART
PROGRAMME LIST
(REAL MODE)
Entry of period
and amplitude
Entry of time
Start
CALC
Calculation of
angular velocity, etc.
A : amplitude
t : time [sec]
T : period [sec]
ω : angular velocity [rad/sec]
angular velocity : ω =
acceleration : a = -ω
2
x velocity : v = A ω cos (ω t)
T
displacement : x = A sin (ω t)
Ax
0
ωt
v
0 v
ax
2π
A
2π
+
+
+
+
ωt
Display of
calculation result.
Graph display
Display clear
Calculation of
range and scale
Print "Input PERIOD
Input P
P F
Print "Input AMPLITUDE
Input A
A D
Label CALC
Print "Input TIME
Input T
T E
2 π/F W
D sin (W E) H
-(W
2
) H B
D W cos (W E) V
Print "ANGULAR VELOCITY
Print W
Print "MAGNITUDE
Print H
Print "ACCELERATION
Print B
Print "VELOCITY
Print V
Wait
E/10 X scl
D/5 Y scl
0 Xmin:E Xmax
-D Ymin:D Ymax
Draw D sin (W X)
Wait
ClrT
ClrG
Goto CALC
Angular velocity, displacement,
acceleration and velocity
calculated.
W = angular velocity
H = displacement
B = acceleration,
V = velocity
Calculation result of angular
velocity, displacement,
acceleration and velocity
displayed.
Text and graph display cleared.
Range set and graph displayed.
Function: Y = D sin (W X)
X is time increase.
Xmin
...
0, Xmax
...
E, Xscl
...
E/10
Ymin
...
-D, Ymax
...
D, Yscl
...
D/5
Title : OSCILLAT
8
HB2.Doc02. 98.10.1, 0:25 PM8