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A Cessna aircraft has a lift-off speed of 120 km/h.?

A Cessna aircraft has a lift-off speed of 120 km/h.

(a) What is the minimum constant acceleration required for the aircraft to become airborne after a takeoff run of 220 meters?

(b) How long does it take for the aircraft to become airborne?

3 Answers

(a) 2ad = Vf^2 - Vi^2

       a = (Vf^2 - Vi^2)/2d  Convert 120 km/hr to m/s:  (120 km/hr)(1000m/1km)(1hr/3600sec) = 33.33 m/sec       a = [(33.33 m/s)^2 - 0^2]/[2(220m)]       a = 2.52 m/s^2     answer

(b) t = (Vf - Vi)/a

  t = (33.33 m/sec - 0)/2.52 m/sec^2  t = 13.2 sec    answer

Hope this helps.

teddy boy

A
Anonymous

Dec 23, 2024

v2 = u2 + 2as.

where

u = 0 (initial velocity = 0)

v = 120 ( final velocity is the lift of speed)

s = 220 (take off run)

120^2 = 440a

a = 32.7m/s2

A
Anonymous

Feb 09, 2025

Should you not take the wind into the equation

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