A 4610 kg helicopter accelerated upwards at 2 m/s^2. What lift force is exerted by the air on the propellers?

I was given this reply:

The air force on the prop blades is what accelerates the helicopter upward.

Use good old Newton's second law:

F = M a

Concern: When I mulplied the mass of the helicopter (4610 kg) by the acceleration (2 m/s^2) the answer was incorrect. What am I doing wrong?

It was I who posted the previous answer.

I should have clarified by saying that
NET force = (Blade force)-(Weight) = M a

Thus
Blade force = Weight + M a
= M (g + a)= (4610)(9.8 + 2)

To calculate the lift force exerted by the air on the propellers, you need to use Newton's second law, which states that force is equal to mass multiplied by acceleration (F = ma).

However, in this case, simply multiplying the mass of the helicopter (4610 kg) by the acceleration (2 m/s^2) will not give you the correct answer.

The reason for this is that the lift force is not equal to the total force exerted on the helicopter. When a helicopter accelerates upward, it experiences two main forces: the downward force due to gravity (its weight), and the upward force due to the lift generated by the propellers.

To find the lift force, you need to consider the net force acting on the helicopter, which is the difference between the upward lift force and the downward force due to gravity.

The equation you need to use is:

Net force = Lift force - Weight

Now, let's calculate:

Weight = mass * gravity acceleration

Weight = 4610 kg * 9.8 m/s^2

Weight = 45,158 N (rounded to the nearest whole number)

Net force = mass * acceleration

Net force = 4610 kg * 2 m/s^2

Net force = 9220 N

Now, substitute the values into the equation:

9220 N = Lift force - 45,158 N

To solve for the lift force, you need to isolate it by rearranging the equation:

Lift force = Net force + Weight

Lift force = 9220 N + 45,158 N

Lift force = 54,378 N

Therefore, the lift force exerted by the air on the propellers is approximately 54,378 Newtons.

You have twice posted problems in which you said you were given replies that were nonsense. I am beginning to question your veracity, and certainly, your understanding of basic physics. What bothers me most it you seem to be presenting no analysis nor thinking, but fishing for answers.

See this:
http://www.jiskha.com/display.cgi?id=1190238213