Sharp EL-9900 Displacement x = a + sin ω, Velocity v = a + ω + cos ω, Rad Print Input Period

EL-9900 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
angular velocity : ω	=	2π	displacement : x = A+ sin (ω					t)
acceleration : a = -ω		T	velocity : v = A+ ω		+ cos (ω
	2						t)
	+ x
A : amplitude			x	A				v0	v
t : time [sec]
				ω	t	A	ω	t	a	x
T : period [sec]
			0	2π
ω : angular velocity [rad/sec]

FLOWCHART

Start

Entry of period and amplitude

PROGRAMME LIST(REAL MODE)

Title : OSCILLAT

Rad

Print "Input PERIOD

Input P

P F

CALC

Entry of time

Calculation of

angular velocity, etc.

Angular velocity, displacement, acceleration and velocity calculated.

W = angular velocity

H = displacement

B = acceleration,

V = velocity

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 -(W2) H B

D W cos (W E) V

Print "ANGULAR VELOCITY Print W

Display of calculation result.

Calculation of

range and scale

Graph display

Display clear

Calculation result of angular velocity, displacement, acceleration and velocity displayed.

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

Text and graph display cleared.

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

8