Question 309426
Landing speed and weight. 
Because the gross weight of the Piper Cheyenne depends on how much fuel and
cargo are on board, the proper landing speed is not always the same.
:
The formula V ={{{sqrt(1.496L)}}} gives the landing speed in terms of the gross weight only.
:
a) Find the landing speed if the gross weight is 7000 lb.
replace L with 7000
V ={{{sqrt(1.496(7000))}}}
:
V ={{{sqrt(10472)}}}
V = 102.33 ft/sec
:
b) What gross weight corresponds to a landing speed of 115 ft/sec?
{{{sqrt(1.496L)}}} = 115
Square both sides
1.496L = 13225
L = {{{13225/1.496}}}
L = 8,840.24 lb gross weight