A bird of mass 1.23 kg is able to hover by imparting a downlward veloc...
Calculation of Density of Air
To calculate the density of air, we can use the formula: density = mass/volume. The mass of the bird is given as 1.23 kg. The volume of air that is being affected by the bird is not given. However, we can assume that it is a small volume of air around the bird. Therefore, we can use the density of air at standard conditions to estimate the density of air around the bird. At standard conditions, the density of air is approximately 1.2 kg/m3.
Calculation of Force Produced by the Bird
The force produced by the bird is equal to the mass of air that is affected by the bird multiplied by the downward velocity imparted by the bird. The mass of air that is affected by the bird can be calculated as follows: mass = density x volume. The volume of air that is affected by the bird can be estimated as the volume of a cylinder with a height of 10 m (the height to which the bird imparts its downward velocity) and a radius of 0.05 m (half the effective area of the bird). Therefore, the volume of air affected by the bird is approximately 0.0785 m3. Using the density of air at standard conditions, we can calculate the mass of air affected by the bird as 0.0942 kg. Therefore, the force produced by the bird is equal to the mass of air affected by the bird multiplied by the downward velocity imparted by the bird, which is approximately 0.942 N.
Calculation of Weight of the Bird
The weight of the bird is equal to its mass multiplied by the acceleration due to gravity. Therefore, the weight of the bird is approximately 12.3 N.
Explanation of Hovering
For the bird to hover, the force produced by the bird must be equal to its weight. Therefore, we can calculate the density of air required for the bird to hover as follows: density = force/area x velocity. Using the force produced by the bird and the effective area of the bird, we can calculate the density of air required for the bird to hover as approximately 9420 kg/m3. This is much higher than the density of air at standard conditions, which means that the bird is not actually hovering in air of this density. However, it does give us an idea of the amount of force required for the bird to hover, and the relationship between the density of air and the ability of the bird to hover.
A bird of mass 1.23 kg is able to hover by imparting a downlward veloc...
I think 1.23kg/m^3 not sure
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