An aircraft is travelling at a constant speed of 180 m s' in a horizontal circle of radius 20 km. A plumbline, attached to the roof of the cabin, settles at an angle ø to the vertical while the aircraft is turning. (a) Find the centripetal acceleration of the aircraft. (b) Name the forces which act on the bob of the plumbline, and draw a labelled diagram to show the directions of these forces, and of their resultant. (c) Find the angle ø. (d) Show by means of a simple sketch of the cross-section of the aircraft how the plumbline is orientated with respect to the aircraft.

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Chapter1: Units, Trigonometry. And Vectors
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Full solution for whole qn pls Answers are a) 1.62ms-2 b) 9.38 degrees
An aircraft is travelling at a constant speed of 180 m s' in a horizontal circle of radius 20 km. A
plumbline, attached to the roof of the cabin, settles at an angle ø to the vertical while the aircraft
is turning.
(a) Find the centripetal acceleration of the aircraft.
(b) Name the forces which act on the bob of the plumbline, and draw a labelled diagram to
show the directions of these forces, and of their resultant.
(c) Find the angle ø.
(d) Show by means of a simple sketch of the cross-section of the aircraft how the plumbline is
orientated with respect to the aircraft.
Transcribed Image Text:An aircraft is travelling at a constant speed of 180 m s' in a horizontal circle of radius 20 km. A plumbline, attached to the roof of the cabin, settles at an angle ø to the vertical while the aircraft is turning. (a) Find the centripetal acceleration of the aircraft. (b) Name the forces which act on the bob of the plumbline, and draw a labelled diagram to show the directions of these forces, and of their resultant. (c) Find the angle ø. (d) Show by means of a simple sketch of the cross-section of the aircraft how the plumbline is orientated with respect to the aircraft.
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