V1, Vr and V2 speed of aircraft.

V1, Vr and V2 speed of aircraft.
In aviation, V-speeds are standard terms used to define air speeds important or useful to the operation of all aircraft. These speeds are derived from data obtained by aircraft designers and manufacturers during flight testing for aircraft .
The speed will vary among aircraft types and varies according to factors such as aircraft weight, runway length, wing flap setting, engine thrust used and runway surface contamination, thus it must be determined by the pilot before takeoff.
So what really V1 , Vr and V2 speeds are . Let us discuss it below:
V1 Speed

Vr Speed
Vr is defined as the speed at which the rotation of the
aircraft should be initiated to takeoff attitude . It is the speed at which the pilot gives input to aircraft control .to be able to fly after the aircraft leaves the runway. Attention must be given to Vr when the aircraft landing nose leaves the runway
V2 Speed
V2 is the speed at which the aircraft may safely be climbed with one engine inoperative. This speed is nicknamed a “take-off safety speed”; it is the speed an aircraft with one engine inoperative must be able to attain in order to leave the runway and get 35 feet off the ground at the end of the runway, maintaining a 200 ft/min climb thereafter.
This is the lowest speed at which the aircraft complies with the handling criteria associated with a climb after a take-off, followed by the failure of an engine.
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