auto generate barcode vb net Practical Applications in .NET

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CHAPTER 5 Practical Applications
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Fig. 5.27
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5.12 The heading of an airplane is 75 , and the airspeed is 200 mi/h. Find the groundspeed and course if there is a wind of 40 mi/h from 165 . Refer to Fig. 5.28.
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Construction: Put in the airspeed vector from O, follow through with the wind vector, and close the triangle. Solution: Groundspeed course 75 u 63 40 . 2(200)2 (40)2 204 mi/h, tan u 40/200 0.2000 and u 11 20 , and
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5.13 The airspeed of an airplane is 200 km/h. There is a wind of 30 km/h from 270 . Find the heading and groundspeed in order to track 0 . Refer to Fig. 5.29.
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Construction: The groundspeed vector is along ON. Lay off the wind vector from O, follow through with the airspeed vector (200 units from the head of the wind vector to a point on ON), and close the triangle. Solution: Groundspeed 2(200)2 (30)2 198 km/h, sin u 30/200 0.1500 and u 8 40 , and heading 360 u 351 20 .
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Fig. 5.30
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5.14 There is a wind of 35 mi/h from 320 . Find the airspeed and heading in order that the groundspeed and course be 250 mi/h and 50 , respectively. Refer to Fig. 5.30.
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Construction: Lay off the groundspeed vector from O, put in the wind vector at O so that it does not follow through to the groundspeed vector, and close the triangle. Solution: Airspeed 50 8 42 . 2(250)2 (35)2 252 mi/h, tan u 35/250 0.1400 and u 8 , and heading
CHAPTER 5 Practical Applications
SUPPLEMENTARY PROBLEMS
Use the rounding procedures stated in Section 4.7.
5.15 An airplane flies 100 km in the direction S38 10 E. How far south and how far east of the starting point is it
Ans. 5.16
78.6 km south, 61.8 km east
A plane is headed due east with airspeed 240 km/h. If a wind is blowing from the north at 40 km/h, find the groundspeed and course. Ans. Groundspeed, 243 km/h; course, 99 30 or S80 30 E
A body is acted upon by a force of 75 lb, due west, and a force of 125 lb, due north. Find the magnitude and direction of the resultant force. Ans. 146 lb, N31 0 W
Find the rectangular components of a force of 525 lb in a direction 38.4 with the horizontal. Ans. 411 lb, 326 lb
An aviator heads his airplane due west. He finds that because of a wind from the south, the course makes an angle of 20 with the heading. If his airspeed is 100 mi/h, what is his groundspeed and what is the speed of the wind Ans. Groundspeed, 106 mi/h, wind, 36 mi/h
An airplane is headed west while a 40 mi/h wind is blowing from the south. What is the necessary airspeed to follow a course N72 W and what is the groundspeed Ans. Airspeed, 123 mi/h; groundspeed, 129 mi/h
A barge is being towed north at a rate of 18 mi/h. A man walks across the deck from west to east at a rate of 6 ft/s. Find the magnitude and direction of the actual velocity. Ans. 27 ft/s, N12 50 E.
A ship at A is to sail to C, 56 km north and 258 km east of A. After sailing N25 10 E for 120 mi to P, the ship is headed toward C. Find the distance of P from C and the required course to reach C. Ans. 214 km, S75 40 E
A guy wire 78 ft long runs from the top of a telephone pole 56 ft high to the ground and pulls on the pole with a force of 290 lb. What is the horizontal pull on the top of the pole Ans. 201 lb
A weight of 200 lb is placed on a smooth plane inclined at an angle of 37.6 with the horizontal and held in place by a rope parallel to the surface and fastened to a peg in the plane. Find the pull on the string. Ans. 122 lb
A man wishes to raise a 300-lb weight to the top of a wall 20 m high by dragging it up an incline. What is the length of the shortest inclined plane he can use if his pulling strength is 140 lb Ans. 43 m
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