Question #7485

Calculate the Coriolis acceleration of an aeroplane flying along the equator due east at
a speed of 300m s−1.

Expert's answer

Calculate the Coriolis acceleration of an aeroplane flying along the equator due east at a speed of 300m/s⁻¹. Please explain

Angular speed of the Earth:


ω=2πf=6.28243600s=7.27105s1\omega = 2 \pi f = \frac {6.28}{24 * 3600s} = 7.27 * 10^{-5} s^{-1}


Coriolis acceleration:


aC=2[ω×v]=2ωva_{C} = 2[\omega \times v] = 2\omega vaC=27.27105s1300m/s=0.044m/s2a_{C} = 2 * 7.27 * 10^{-5} s^{-1} * 300 \, \text{m/s} = 0.044 \, \text{m/s}^2


Answer: aC=0.044m/s2a_{C} = 0.044 \, \text{m/s}^2

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