Question

A helicopter of mass 2000 Kg rises with a vertical acceleration of 15m/s^2 . The total mass of passengers is 500 kg . Give the magnitude of --

1 ) force on the floor of helicopter by the passengers

2) action of the rotor of the helicopter on the surrounding air

3 ) Force on the helicopter due to the surrounding air .


Solve these all

Answer 1

Heya.......!!!!


=> Given : ----

=> Mass of helicopter ( say m1 ) = 2000 kg
=> Mass of passengers ( say m2 ) = 500 kg

=> Acceleration in vertical direction = 15m/s^2
and acceleration due to gravity ( g ) = 10 m/s^2


1.) ➤ Force on the floor of the helicopter by the passengers

➤ F = m2 ( g + a )
➤ F = 500 ( 10 + 15 )

=➤ F = 12500 N .


2.) ➤ Action of rotor on the surrounding air

➤ F = ( m1 + m2 )× ( g + a )
➤ F = ( 2000 + 500 ) × ( 10 × 15 ) = 2500 × 25

=➤ F = 62500 N


3.) ➤ Force on Helicopter due to surrounding air .

➤ This force will be equal = Reaction force applied by helicopter in opposite direction that is F = 62500 N .



Hope It Helps You ^_^