[ T ] The fence vector F acting on a proton with all electric charge of 1 .6×10 -19 C (in coulombs) moving in a magnetic field B where the velocity vector v is given by F=1 .6×10 -19 ( v × B ) (here, v is expressed in meter per second, B is in tesla [ T ] , and F is in newtons [ N ] ). Find the force that acts on a proton that moves in the x y -plane at velocity v = 10 5 i + 10 5 j (in meters per second) in a magnetic field given by B = 0.3 j ).
[ T ] The fence vector F acting on a proton with all electric charge of 1 .6×10 -19 C (in coulombs) moving in a magnetic field B where the velocity vector v is given by F=1 .6×10 -19 ( v × B ) (here, v is expressed in meter per second, B is in tesla [ T ] , and F is in newtons [ N ] ). Find the force that acts on a proton that moves in the x y -plane at velocity v = 10 5 i + 10 5 j (in meters per second) in a magnetic field given by B = 0.3 j ).
[
T
]
The fence vector
F
acting on a proton with all electric charge of
1
.6×10
-19
C
(in coulombs) moving in a magnetic field
B
where the velocity vector
v
is given by
F=1
.6×10
-19
(
v
×
B
)
(here,
v
is expressed in meter per second,
B
is in tesla
[
T
]
, and
F
is in newtons
[
N
]
). Find the force that acts on a proton that moves in the
x
y
-plane at velocity
v
=
10
5
i
+
10
5
j
(in meters per second) in a magnetic field given by
B
=
0.3
j
).
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Task number: A1.1, A1.7
Topic: Celestial Navigation, Compass - Magnetic and Gyro
Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable
celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic
compass.
Minimum number of times that activity should be recorded: 6 (2 each phase)
Sample calculation (Azimuth- Planets):
On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing
327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation.
GHA Mars (06d 22h):
Increment (20m 10s):
089° 55.7'
005° 02.5'
v (0.9):
(+)
00.3'
GHA Mars:
094° 58.5'
Longitude (E):
(+) 050° 00.0' (plus- since longitude is easterly)
LHA Mars:
144° 58.5'
Declination (06d 22h):
d (0.2):
N 024° 18.6'
(-)
00.1'
Declination Mars:
N 024° 18.5'
P=144° 58.5' (If LHA<180°, P=LHA)
A Tan Latitude/ Tan P
A Tan 48° 00' Tan 144° 58.5'
A = 1.584646985 N (A is named opposite to latitude, except when…
Task number: A1.1, A1.7
Topic: Celestial Navigation, Compass - Magnetic and Gyro
Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable
celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic
compass.
Minimum number of times that activity should be recorded: 6 (2 each phase)
Sample calculation (Azimuth- Planets):
On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing
327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation.
GHA Mars (06d 22h):
Increment (20m 10s):
089° 55.7'
005° 02.5'
v (0.9):
(+)
00.3'
GHA Mars:
094° 58.5'
Longitude (E):
(+) 050° 00.0' (plus- since longitude is easterly)
LHA Mars:
144° 58.5'
Declination (06d 22h):
d (0.2):
N 024° 18.6'
(-)
00.1'
Declination Mars:
N 024° 18.5'
P=144° 58.5' (If LHA<180°, P=LHA)
A Tan Latitude/ Tan P
A Tan 48° 00' Tan 144° 58.5'
A = 1.584646985 N (A is named opposite to latitude, except when…
Activ
Determine compass error using amplitude (Sun).
Minimum number of times that activity should be performed: 3 (1 each phase)
Sample calculation (Amplitude- Sun):
On 07th May 2006 at Sunset, a vessel in position 10°00'N 010°00'W observed the Sun bearing 288°
by compass. Find the compass error.
LMT Sunset:
LIT:
(+) 00d
07d 18h
00h
13m
40m
UTC Sunset:
07d
18h
53m
(added- since longitude is westerly)
Declination (07d 18h):
N 016° 55.5'
d (0.7):
(+)
00.6'
Declination Sun:
N 016° 56.1'
Sin Amplitude = Sin Declination/Cos Latitude
= Sin 016°56.1'/ Cos 10°00'
= 0.295780189
Amplitude=W17.2N
(The prefix of amplitude is named easterly if body is rising,
and westerly if body is setting. The suffix is named same
as declination)
True Bearing=287.2°
Compass Bearing= 288.0°
Compass Error = 0.8° West
Elementary Statistics: Picturing the World (7th Edition)
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