An aircraft executes a horizontal loop of radius 1 km with a steady speed of 900 km/hr. Compare its centripetal acceleration with the acceleration due to gravity.

Solution

Given that,
$R a d i u s space o f space t h e space h o r i z o n t a l space l o o p comma space r italic equals italic 1 k m italic equals italic 1000 m$
Speed of the aircraft, $nu equals 900 space k m divided by h r space equals space 250 space m divided by s$
Now the centripetal acceleration is,
$a subscript c italic equals v to the power of italic 2 over r equals fraction numerator left parenthesis 250 right parenthesis squared over denominator 1000 end fraction equals 62.5 straight m divided by straight s squared$
The centripetal acceleration relative to acceleration due to gravity is,
$space space straight a subscript straight c over straight g equals 625 over 98 equals 6.38$

Some More Questions From Laws of Motion Chapter

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Laws Of Motion

An aircraft executes a horizontal loop of radius 1 km with a steady speed of 900 km/hr. Compare its centripetal acceleration with the acceleration due to gravity.

Some More Questions From Laws of Motion Chapter

Define inertia.

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Which law of motion is the real law of motion?

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