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Consider a propeller designed to always operate at 85% efficiency. Determine and plot the thrust and power per unit disk area \([A_{disk}]\) of the propeller.

Answer :

To determine and plot the thrust and power per unit disk area (adisk) of a propeller operating at 85% efficiency, we need to consider a few key concepts.

First, let's define the terms. Thrust refers to the force that propels the aircraft forward, while power is the rate at which work is done. In this case, we are interested in power per unit disk area, which measures the power output of the propeller per unit of the area swept by the propeller blades.

To calculate the thrust, we can use the formula:

Thrust = (Power / Velocity)

To calculate the power per unit disk area (adisk), we divide the power output of the propeller by the area swept by the propeller blades:

adisk = Power / Area

Since we are given that the propeller operates at 85% efficiency, we can assume that 85% of the power input is converted into useful work.

Now, to plot the thrust and power per unit disk area, we can vary the power input and calculate the corresponding values for thrust and adisk. We can plot these values on a graph with power input on the x-axis and thrust or adisk on the y-axis.

Keep in mind that the exact values will depend on the specific design and characteristics of the propeller, so this is a general approach. Also, ensure to use appropriate units for power, velocity, and area in your calculations and plot.

In summary, to determine and plot the thrust and power per unit disk area of a propeller operating at 85% efficiency, we use formulas to calculate the values and vary the power input to obtain corresponding results. This allows us to visualize the relationship between power input and thrust or adisk on a graph.

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