How to Determine Upward Force and Maximum Acceleration of a Helicopter

What is the method to calculate the amount of upward force needed to keep a helicopter at a constant height? How can we find the maximum upwards acceleration of the helicopter? To determine the amount of upward force required to keep a helicopter at a constant height, we can use the Fnet equation, where Fnet represents the net force acting on the helicopter. When a helicopter is at a constant height, it is not accelerating, so the net force is zero. The formula for the net force can be expressed as: Fnet = Fg + F(up) Where: Fnet = Net force Fg = Gravitational force (mass of the helicopter x acceleration due to gravity) F(up) = Upward force By substituting the values into the equation and solving for F(up), we can find the upward force required to keep the helicopter at a constant height. To find the maximum upwards acceleration of the helicopter, we can also use the Fnet equation, which is: Fnet = Fg + F(up) By substituting the known values into the equation and solving for acceleration (a), we can determine the maximum upward acceleration of the helicopter.

Determining Upward Force of a Helicopter

To calculate the upward force required to keep a helicopter at a constant height:

Given data: Mass of helicopter (m) = 1500kg, Gravitational force (Fg) = 1500kg x 9.8 m/s²

Using the Fnet equation:

Fnet = Fg + F(up)

0 = Fg + F(up)

0 = mg + F(up)

0 = 1500 kg(9.8 N/kg [down]) + F(up)

-F(up) = 1500 kg(9.8 N/kg [down])

-F(up) = 14700 N [down]

F(up) = 14700 N [up]

Therefore, the amount of upward force required to keep the helicopter at a constant height is 14700 N upward.

Finding Maximum Upwards Acceleration of the Helicopter

To determine the maximum upwards acceleration of the helicopter:

Given data: Maximum upward force (F(up)) = 20000N

Using the Fnet equation:

Fnet = Fg + F(up)

ma = mg + F(up)

1500kg(a) = 1500kg(9.8 N/kg [down]) + 20000N

1500kg(a) = -5300 N [down]

1500kg(a) = 5300 N [up]

a = 0.28301 m/s² [up]

Therefore, the maximum upward acceleration of the helicopter is approximately 0.3 m/s² upward.

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