Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 26.4, Problem 10E
To determine
The coordinates of the centroids of the given figure.
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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
Chapter 26 Solutions
Basic Technical Mathematics
Ch. 26.1 - In Example 4, change the acceleration to a = 4...Ch. 26.1 - Prob. 2PECh. 26.1 - In Example 3, change 5.0 s to 2.5 s and then solve...Ch. 26.1 - Prob. 2ECh. 26.1 - What is the velocity (in ft/s) of a sandbag 1.5 s...Ch. 26.1 - Prob. 4ECh. 26.1 - A conveyor belt 8.00 m long moves at 0.25 m/s. If...Ch. 26.1 - Prob. 6ECh. 26.1 - The velocity (in km/h) of a plane flying into an...Ch. 26.1 - A cyclist goes downhill for 15 min with a velocity...
Ch. 26.1 - A car crosses an intersection as a fire engine...Ch. 26.1 - In designing a highway, a civil engineer must...Ch. 26.1 - Prob. 11ECh. 26.1 - Prob. 12ECh. 26.1 - A certain Chevrolet Corvette goes from 0 mi/h to...Ch. 26.1 - Prob. 14ECh. 26.1 - Prob. 15ECh. 26.1 - Prob. 16ECh. 26.1 - Prob. 17ECh. 26.1 - Prob. 18ECh. 26.1 - Prob. 19ECh. 26.1 - Prob. 20ECh. 26.1 - Prob. 21ECh. 26.1 - Prob. 22ECh. 26.1 - Prob. 23ECh. 26.1 - Prob. 24ECh. 26.1 - Prob. 25ECh. 26.1 - Prob. 26ECh. 26.1 - The voltage across a 3.75-μF capacitor in a...Ch. 26.1 - Prob. 28ECh. 26.1 - Prob. 29ECh. 26.1 - Prob. 30ECh. 26.1 - Prob. 31ECh. 26.1 - Prob. 32ECh. 26.1 - Prob. 33ECh. 26.1 - Prob. 34ECh. 26.1 - Prob. 35ECh. 26.1 - Prob. 36ECh. 26.2 - Find the area in the first quadrant bounded by y =...Ch. 26.2 - Prob. 2PECh. 26.2 - In Exercises 1 and 2, make the given changes in...Ch. 26.2 - In Exercises 1 and 2, make the given changes in...Ch. 26.2 - Prob. 3ECh. 26.2 - Prob. 4ECh. 26.2 - Prob. 5ECh. 26.2 - Prob. 6ECh. 26.2 - In Exercises 3–28, find the areas bounded by the...Ch. 26.2 - Prob. 8ECh. 26.2 - Prob. 9ECh. 26.2 - Prob. 10ECh. 26.2 - Prob. 11ECh. 26.2 - Prob. 12ECh. 26.2 - Prob. 13ECh. 26.2 - Prob. 14ECh. 26.2 - Prob. 15ECh. 26.2 - Prob. 16ECh. 26.2 - Prob. 17ECh. 26.2 - Prob. 18ECh. 26.2 - Prob. 19ECh. 26.2 - Prob. 20ECh. 26.2 - Prob. 21ECh. 26.2 - Prob. 22ECh. 26.2 - Prob. 23ECh. 26.2 - Prob. 24ECh. 26.2 - Prob. 25ECh. 26.2 - Prob. 26ECh. 26.2 - Prob. 27ECh. 26.2 - Prob. 28ECh. 26.2 - Prob. 29ECh. 26.2 - Prob. 30ECh. 26.2 - Prob. 31ECh. 26.2 - In Exercises 29–38, solve the given problems.
32....Ch. 26.2 - Prob. 33ECh. 26.2 - Prob. 34ECh. 26.2 - Prob. 35ECh. 26.2 - Prob. 36ECh. 26.2 - Prob. 37ECh. 26.2 - Prob. 38ECh. 26.2 - Prob. 39ECh. 26.2 - Prob. 40ECh. 26.2 - Prob. 41ECh. 26.2 - Prob. 42ECh. 26.2 - Prob. 43ECh. 26.2 - Prob. 44ECh. 26.2 - Prob. 45ECh. 26.2 - Prob. 46ECh. 26.2 - Prob. 47ECh. 26.2 - Prob. 48ECh. 26.2 - Prob. 49ECh. 26.2 - Prob. 50ECh. 26.3 - Find the volume of the solid generated by...Ch. 26.3 - Prob. 2PECh. 26.3 - Prob. 1ECh. 26.3 - Prob. 2ECh. 26.3 - Prob. 3ECh. 26.3 - Prob. 4ECh. 26.3 - Prob. 5ECh. 26.3 - Prob. 6ECh. 26.3 - Prob. 7ECh. 26.3 - Prob. 8ECh. 26.3 - In Exercises 7–16, find the volume generated by...Ch. 26.3 - Prob. 10ECh. 26.3 - In Exercises 7–16, find the volume generated by...Ch. 26.3 - Prob. 12ECh. 26.3 - Prob. 13ECh. 26.3 - Prob. 14ECh. 26.3 - Prob. 15ECh. 26.3 - Prob. 16ECh. 26.3 - Prob. 17ECh. 26.3 - Prob. 18ECh. 26.3 - Prob. 19ECh. 26.3 - Prob. 20ECh. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 17–26, find the volume generated by...Ch. 26.3 - In Exercises 27–40, find the indicated volumes by...Ch. 26.3 - Prob. 28ECh. 26.3 - Prob. 29ECh. 26.3 - Prob. 30ECh. 26.3 - Prob. 31ECh. 26.3 - Prob. 32ECh. 26.3 - Prob. 33ECh. 26.3 - Prob. 34ECh. 26.3 - Prob. 35ECh. 26.3 - Prob. 36ECh. 26.3 - Prob. 37ECh. 26.3 - Prob. 38ECh. 26.3 - Prob. 39ECh. 26.3 - Prob. 40ECh. 26.4 - In Example 4, change y = 4 to y = 1 and solve the...Ch. 26.4 - Prob. 1ECh. 26.4 - Prob. 2ECh. 26.4 - In Exercises 3–6, find the center of mass (in cm)...Ch. 26.4 - Prob. 4ECh. 26.4 - Prob. 5ECh. 26.4 - Prob. 6ECh. 26.4 - Prob. 7ECh. 26.4 - Prob. 8ECh. 26.4 - Prob. 9ECh. 26.4 - Prob. 10ECh. 26.4 - Prob. 11ECh. 26.4 - Prob. 12ECh. 26.4 - Prob. 13ECh. 26.4 - Prob. 14ECh. 26.4 - Prob. 15ECh. 26.4 - Prob. 16ECh. 26.4 - Prob. 17ECh. 26.4 -
In Exercises 11–34, find the coordinates of the...Ch. 26.4 - Prob. 19ECh. 26.4 -
In Exercises 11–34, find the coordinates of the...Ch. 26.4 - Prob. 21ECh. 26.4 -
In Exercises 11–34, find the coordinates of the...Ch. 26.4 -
In Exercises 11–34, find the coordinates of the...Ch. 26.4 -
In Exercises 11–34, find the coordinates of the...Ch. 26.4 - Prob. 25ECh. 26.4 - Prob. 26ECh. 26.4 - Prob. 27ECh. 26.4 - Prob. 28ECh. 26.4 - Prob. 29ECh. 26.4 -
In Exercises 11–34, find the coordinates of the...Ch. 26.4 - Prob. 31ECh. 26.4 - Prob. 32ECh. 26.4 - Prob. 33ECh. 26.4 - Prob. 34ECh. 26.5 - EXAMPLE 1 Moment of inertia and radius of...Ch. 26.5 - Prob. 1ECh. 26.5 - Prob. 2ECh. 26.5 - Prob. 3ECh. 26.5 - Prob. 4ECh. 26.5 - Prob. 5ECh. 26.5 - Prob. 6ECh. 26.5 - Prob. 7ECh. 26.5 - Prob. 8ECh. 26.5 - Prob. 9ECh. 26.5 - Prob. 10ECh. 26.5 - In Exercises 7–28, find the indicated moment of...Ch. 26.5 - In Exercises 7–28, find the indicated moment of...Ch. 26.5 - Prob. 13ECh. 26.5 - Prob. 14ECh. 26.5 - Prob. 15ECh. 26.5 - In Exercises 7–28, find the indicated moment of...Ch. 26.5 - Prob. 17ECh. 26.5 - Prob. 18ECh. 26.5 - Prob. 19ECh. 26.5 - Prob. 20ECh. 26.5 -
In Exercises 7–28, find the indicated moment of...Ch. 26.5 - Prob. 22ECh. 26.5 - Prob. 23ECh. 26.5 - Prob. 24ECh. 26.5 - Prob. 25ECh. 26.5 - Prob. 26ECh. 26.5 - Prob. 27ECh. 26.5 - Prob. 28ECh. 26.6 - Prob. 1PECh. 26.6 - Prob. 2PECh. 26.6 - Prob. 1ECh. 26.6 - Prob. 2ECh. 26.6 - Prob. 3ECh. 26.6 - Prob. 4ECh. 26.6 - Prob. 5ECh. 26.6 - Prob. 6ECh. 26.6 - An electron has a 1.6 × 10–19 C negative charge....Ch. 26.6 - Prob. 8ECh. 26.6 - Prob. 9ECh. 26.6 - Prob. 10ECh. 26.6 - Prob. 11ECh. 26.6 - Prob. 12ECh. 26.6 - At liftoff, a rocket weighs 32.5 tons, including...Ch. 26.6 - Prob. 14ECh. 26.6 - Prob. 15ECh. 26.6 - Prob. 16ECh. 26.6 - Prob. 17ECh. 26.6 - Prob. 18ECh. 26.6 - Prob. 19ECh. 26.6 - Prob. 20ECh. 26.6 - Prob. 21ECh. 26.6 - Prob. 22ECh. 26.6 - Prob. 23ECh. 26.6 - Prob. 24ECh. 26.6 - Prob. 25ECh. 26.6 - Prob. 26ECh. 26.6 - Prob. 27ECh. 26.6 - Prob. 28ECh. 26.6 - Prob. 29ECh. 26.6 - Prob. 30ECh. 26.6 - Prob. 31ECh. 26.6 - Prob. 32ECh. 26.6 - Prob. 33ECh. 26.6 - Prob. 34ECh. 26.6 - Prob. 35ECh. 26.6 - Prob. 36ECh. 26.6 - Prob. 37ECh. 26.6 - Prob. 38ECh. 26 - Prob. 1RECh. 26 - Prob. 2RECh. 26 - Prob. 3RECh. 26 - Prob. 4RECh. 26 - Prob. 5RECh. 26 - Prob. 6RECh. 26 - Prob. 7RECh. 26 - Prob. 8RECh. 26 - Prob. 9RECh. 26 - Prob. 10RECh. 26 - Prob. 11RECh. 26 - Prob. 12RECh. 26 - Prob. 13RECh. 26 - Prob. 14RECh. 26 - Prob. 15RECh. 26 - Prob. 16RECh. 26 - Prob. 17RECh. 26 - Prob. 18RECh. 26 - Prob. 19RECh. 26 - Prob. 20RECh. 26 - Prob. 21RECh. 26 - Prob. 22RECh. 26 - Prob. 23RECh. 26 - Prob. 24RECh. 26 - Prob. 25RECh. 26 - Prob. 26RECh. 26 - Prob. 27RECh. 26 - Prob. 28RECh. 26 - Prob. 29RECh. 26 - Prob. 30RECh. 26 - Prob. 31RECh. 26 - Prob. 32RECh. 26 - Prob. 33RECh. 26 - Prob. 34RECh. 26 - Prob. 35RECh. 26 - Prob. 36RECh. 26 - Prob. 37RECh. 26 - Prob. 38RECh. 26 - Prob. 39RECh. 26 - Prob. 40RECh. 26 - Prob. 41RECh. 26 - Prob. 42RECh. 26 - Prob. 43RECh. 26 - Prob. 44RECh. 26 - Prob. 45RECh. 26 - Prob. 46RECh. 26 - Prob. 47RECh. 26 - Prob. 48RECh. 26 - Prob. 49RECh. 26 - Prob. 50RECh. 26 - Prob. 51RECh. 26 - Prob. 52RECh. 26 - Prob. 53RECh. 26 - Prob. 54RECh. 26 - Prob. 55RECh. 26 - Prob. 56RECh. 26 - Prob. 57RECh. 26 - Prob. 58RECh. 26 - Prob. 59RECh. 26 - Prob. 60RECh. 26 - Prob. 61RECh. 26 - Prob. 62RECh. 26 - Prob. 63RECh. 26 - Prob. 64RECh. 26 - Prob. 65RECh. 26 - Prob. 1PTCh. 26 - Prob. 2PTCh. 26 - Prob. 3PTCh. 26 - Prob. 4PTCh. 26 - Prob. 5PTCh. 26 - Prob. 6PTCh. 26 - Prob. 7PTCh. 26 - Prob. 8PTCh. 26 - Prob. 9PTCh. 26 - Prob. 10PT
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