M6032550G2YSIN1

000000

Sheet1

Physicsmatayom_link
M6032550G2ysin1
No
Name:impossible
60310
Narat Virojanawat
60312
Natthaporn Hiratthanapan
60315
Tanavat Kurasee
no.
theory
note
1
y1=R1*sin(theta+phase1)
wave1
2
y2=R2*sin(theta+phase2)
wave2
3
y3=R3*sin(theta+phase3)
wave3
4
theta=2*pi*f*t
angular displacement
5
R
amplitde(m)
6
f
frequemcy(Hz)
7
T=1/f
priod(s)
8
t
time(s)
9
Rx=R*cos(phase)
phase_vector x_axis
10
Ry=R*sin(phase)
phase_vector y_axis
11
sumRx=Rx1+Rx2+Rx3
sum_phase_vector x_axis
12
sumRy=Ry1+Ry2+Ry3
sum_phase_vector y_axis
13
R=sqrt(sumRx^2+sumRy^2)
resultant_phase_vector
14
tan(phase)=sumRy/sumRx
resultant_phase_vector_direction
15
phase(deg.)=atan(sumRy/sumRx)
resultant_phase_vector_direction
16
If Asin(theta)+Bcos(theta)=R*sin(theta+phase)
R=sqrt(A^2+B^2) and tan(phase)=B/A or
phase=arctan(B/A)
2wave_modulation
17
sin(A+B)=sinAcosB+cosAsinB
trogonometry
18
sin(A-B)=sinAcosB-cosAsinB
trogonometry
19
cos(A+B)=cosAcosB-sinAsinB
trogonometry
20
cos(A-B)=cosAcosB+sinAsinB
trogonometry
21
dsinX/dx=+cosX=+sin(X+pi/2)
calculus1
22
dcosX/dx=-sinX=+sin(X+pi)
calculus1
Data_table1
y=R*sin(q+f)
wave1
wave2
wave3
wave4
wave4_excelcode
input R(m)=
1
1
1
1.00
=SQRT($E$10^2+$E$11^2)
input_phase( f,deg.)=
0
90
270
0.00
=ATAN($E$11/$E$10)*180/PI()
Rx=R*cos(phase)
1.00
0.00
-0.00
1.00
=SUM(B10:D10)
Ry=R*sin(phase)
0.00
1.00
-1.00
0.00
=SUM(B11:D11)
q (degree)
y1=R1*sin(theta+phase1)
y2=R2*sin(theta+phase2)
y3=R3*sin(theta+phase3)
y4=y1+y2+y3
0
0.000
1.000
-1.000
0.000
15
0.259
0.966
-0.966
0.259
30
0.500
0.866
-0.866
0.500
45
0.707
0.707
-0.707
0.707
60
0.866
0.500
-0.500
0.866
75
0.966
0.259
-0.259
0.966
90
1.000
0.000
-0.000
1.000
105
0.966
-0.259
0.259
0.966
120
0.866
-0.500
0.500
0.866
135
0.707
-0.707
0.707
0.707
150
0.500
-0.866
0.866
0.500
165
0.259
-0.966
0.966
0.259
180
0.000
-1.000
1.000
0.000
195
-0.259
-0.966
0.966
-0.259
210
-0.500
-0.866
0.866
-0.500
225
-0.707
-0.707
0.707
-0.707
240
-0.866
-0.500
0.500
-0.866
255
-0.966
-0.259
0.259
-0.966
270
-1.000
-0.000
0.000
-1.000
285
-0.966
0.259
-0.259
-0.966
300
-0.866
0.500
-0.500
-0.866
315
-0.707
0.707
-0.707
-0.707
330
-0.500
0.866
-0.866
-0.500
345
-0.259
0.966
-0.966
-0.259
360
-0.000
1.000
-1.000
-0.000
Phase_vector_diagram
exercise
no.
sine_wave;y=R*sin(theta+phase)
R=amplitude
phase
1
1*sin(theta)
2
1*sin(theta+pi/4)
3
1*sin(theta+pi/2)
4
1*sin(theta+pi)
5
1*sin(theta+3*pi/2)
6
1*sin(theta+2*pi)
7
1*sin(theta)+1*cos(theta)
8
1*sin(theta)+1*sin(theta+pi/2)
9
1*sin(theta)-1*cos(theta)
10
1*sin(theta)+1*sin(theta+3*pi/2)
11
inductance ; VL=Ldi/dt ;i=Im*sin(2*pi*f*t)
ILm=?
phase_iL=?
12
inductance ; VL=Ldi/dt ;i=Im*sin(2*pi*f*t)
VLm=?
phase_VL=?
13
Capacitor ; Vc=Q/C ;ic=dQ/dt ; vc=Vcm*sin(2*pi*f*t)
Vcm=?
phase_Vc=?
14
Capacitor ; Vc=Q/C ;ic=dQ/dt ; vc=Vcm*sin(2*pi*f*t)
icm=?
phase_ic=?
phasevetor2

Sheet2

Sheet3