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.

Principles of Physics: A Calculus-Based Text
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Chapter5: More Applications Of Newton’s Laws
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Full solution to the whole qn pls Answers are: (a) 1 .62ms-2 , (c) 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 resuitant.
(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 resuitant. (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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