B) in What Heading (Quadrant Bearing) Should the Pilot Steer?

Mr. Fernando Morales

A. A pilot in an airplane with an airspeed of 1000 km/h wishes to fly to a city 2000 km due east. There is a wind blowing from 025° at a speed of 100 km/h. a) Draw a vector diagram for the situation given. Label the air speed, wind speed and ground speed as v a , v w and v g respectively. b) In what heading (Quadrant Bearing) should the pilot steer? c) What will be the groundspeed of the airplane? d) How long will the trip take? Mr. Fernando Morales B. A small aircraft, on a heading of 225°, is cruising at 150 km/h. It is encountering a wind blowing from a bearing of 315° at 35 km/h. a) Draw a vector diagram of this situation. b) Determine the aircraft’s ground velocity. Mr. Fernando Morales C. Two ships A and B have position vectors OA = -1i + 4j and OB = -3i + 2j a) Calculate the distance between the two ships. b) Find the angle between the vector AB and the negative y-axis. c) Find the bearing of ship B from ship A, assuming that the North is along the positive y-axis. Mr. Fernando Morales D. If the wind is blowing from the east at 72 km/h and an airplane is on a heading of 165° with airspeed of 800 km/h, find the ground velocity of the plane, and the direction of the flight. Mr. Fernando Morales E. Nancy is a pilot in Canada’s North. She needs to deliver emergency supplies to a location that is 500 km away. Nancy has set the aircraft’s velocity to 270 km/h on a northbound heading. The wind velocity is 45 km/h from the east. a) Determine the resultant ground velocity of the aircraft b) Will Nancy be able to make the delivery within 2 h, at this ground velocity? Justify your response. Mr. Fernando Morales F. If the wind is blowing from the east at 58 km/h and an airplane is on a heading of 155° with airspeed of 750 km/h, find the ground velocity of the plane, and the direction of the flight. Mr. Fernando Morales G. The position diagram of a mass suspended by two wires is shown below. The mass is 200 N and the wires are of length 9 cm and 12 cm, measured from 2 points that are 15 cm apart and at the same level. Determine β, if the angle α is 36.9 ° . Find the tensions in the two wires. Include a labeled force diagram with your solution.

Position diagram