An aircraft takes a turn along a circular path of radius 2000 metre. If the linear speed of the aircraft is 500 m/s, find the angular speed and the time required by it to complete half the circular path.
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Answer:
Given: r = 2000 m, v = 500 m/s
To find: i. Angular speed (ω)
ii. Time required to complete half
the circular path (t)
Formulae: i. ω = v/r
ii. v = (2πr/2)/t
Calculation: From formula (i),
ω = 500/2000
∴ ω = 0.25 rad/s
From formula (ii),
t = 2*3.14*2000/2*500
∴ t = 12.56 s
Ans: i. The angular speed of the aircraft is 0.25 rad/s.
ii. The time required by the aircraft to
complete half the circular path is
12.56 s.
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