An aircraft executes a horizontal loop of radius 1.5 km with a steady speed of 900 km/hr. Find the ratio of its centripetal acceleration to the acceleration due to gravity(g= 980 cm/s^2).
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Dynamics of Circular Motion
An aircraft executes a hori...
PHYSICS
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.
November 22, 2019avatar
Adeeba Painuly
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ANSWER
Radius of the loop, r=1km=1000m
Speed of the aircraft,v=900km/h=900×5/18=250m/s
Centripetal acceleration, a
c
=
r
v
2
=
1000
(250)
2
=62.5m/s
2
Acceleration due to gravity, g=9.8m/s
2
Ratio:
g
a
c
=62.5/9.8=6.38
a
c
=6.38g
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