An airplane is descending in a circular pattern that has a constant radius of 25

Question

An airplane is descending in a  circular pattern that has a constant radius of 250m. If the airplane has a horizontal speed of 75 m/s (constant) and a downward speed of 5 m/s (which is increasing at a rate of 2 m/s^2), determined the acceleration of the airplane.

An airplane is descending in a circular pattern that has a constant radius of 250m. If the airplane has a horizontal speed of 75 m/s (constant) and a downward speed of 5 m/s (which is increasing at a rate of 2 m/s^2), determined the acceleration of the airplane.

Explanation / Answer

anet = ?( ar +ad)

ar = v^2/r = 22.5 m/s2

ad = 2m/s2

anet = 22.58 m/s2

? = tan^-1 (22.5/2)

= 84.92 degree from vertical   

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