Kinematics Question 651

Question: An aircraft executes a horizontal loop of radius km with a steady speed of $ 900km/h $ . The ratio of centripetal acceleration to acceleration due to gravity it’s $ [ \text{g = 9}\text{.8 m/}{{\text{s}}^{\text{2}}} ] $

Options:

A) 6.38

B)9.98

C) 11.33

D)12.13

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ a_c =\frac{{{\text{v}}^{\text{2}}}}{\text{r}}=\frac{{{( 250 )}^{2}}}{10^{3}}=62.5\text{ m/}{{s^{2}}} $

$ \Rightarrow {{\text{a}} _{\text{c}}}\text{/g}=\frac{62.5}{9.8}=6.38 $



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