The bird is held in level flight due to the force exerted on it by the air as the bird beats its wings. What is the maximum valu
1 answer:
Answer:
The greatest force is F = mg.
Explanation:
Applying Newton’s second law:
Σ F = m a
(Vectors are in bold, and we analyze components along x and y axes.)
Along the x-axis:
Fₓ = maₓ
Along the y-axis:
F_y - W = m a_y
In this scenario, where the bird remains level, the wing force acts at an angle to the x-axis. The vertical component creates lift. Using trigonometry, the components are:
Cos θ = Fₓ / F ⇒ Fₓ = F cos θ
Sin θ = F_y / F ⇒ F_y = F sin θ
Substituting into the vertical force equation:
F sin θ - w = m a_y
Since the bird is hovering at the same height, vertical acceleration is zero (a_y = 0):
F sin θ = w = mg
The maximum lift occurs when sin θ = 1, thus:
F = mg
You might be interested in
First, we must transform the pressure into SI units, considering that 
:
The starting and ending volumes of the gas will be as follows (keeping in mind that
):
Thus, the work performed on the gas by its surroundings is
The positive outcome indicates that this work leads to a rise in the gas's internal energy.
The starting and ending volumes of the gas will be as follows (keeping in mind that
Thus, the work performed on the gas by its surroundings is
The positive outcome indicates that this work leads to a rise in the gas's internal energy.