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Determine the drag coefficient by fitting a polynomial to velocity- force data The magnitude of the aerodynamic drag force F, on a moving automobile can be modeled by the equation: F = 1 AC where p is the density of the surrounding air, A is the reference area of the automobile, and is a dimensionless constant called the drag coefficient. For a fixed car and air density, the equation can be simplified to Fa= where y acts as an effective drag coefficient with units of Force/Velocity? In this problem, you will estimate the effective drag coefficient by fitting a polynomial to drag force data. The data file, VelocityDragDataba, contains multiple force measurements (second column) taken at speeds from 15 to 150 km/h at increments of 5 kmh (first column). Code has been provided to load the data into a matrix dragpata. Velocity Force 15 5.795754 15 6.027559 15 6.040762 15 6.218395 15 6.553317 20 10.13281 20 10.73376 20 10.91766 20 11.06578 20 11.18402 25 17.02669 25 17.04141 25 17.37333 25 17.7684 25 18.65124 30 23.92056 30 23.96381 30 24.41368 30 24.64035 30 24.74886 Complete the steps below to estimate y by fitting a polynomial to the data using the polyfit function 1. Create a column vector v corresponding to the velocity 2. Create a column vector x corresponding to the Velocity values squared 3. Create a column vector y corresponding to the force 4. Plot x on the x-axis and y on the y-axis 5. Add a title to the graph (Force vs. Velocity 6. Add a lable to the z axis [Velocity (km/h) 7. Add a label to the y-axis (Drag Force (N) Script Save Reset DE MATLAB Documentation 1 dragData = load ('VehicleDragoata.txt'); X Load the data 2 V = % Get x from the first column on dragData (use :) X=% xis v squared (remember how to write power for matrix) 4 y = ; % Get y from the second column on dragForce (use :) 5 6 X Plot x on the X-axis and y on the y-axis 7 % Add title to the graph: Force vs. Velocity Add label to the X-axex: Velocity (km/h) 5 % Add label to the y-axis: Drag Force (N) 10 ► Run Script > Submit Assessment: Is v correct? is x correct? Is y correct?

Respuesta :

Drag factor It is discovered that FD is inversely correlated with square of the object's speed. F D ∝ v 2 F D = 1 2 C ρ A v 2 , where A is the area of the object facing the fluid, C is the drag coefficient, and is the fluid's density.

The size of the drag force FD is discovered to be proportional to the square of the speed of the object for the majority of large things, such as bicycles, cars, and baseballs, when they are not travelling too slowly. This relationship can be expressed mathematically as F D v 2.

This connection changes to F D = 1 2 C A v 2 when other parameters are taken into consideration, where C is the drag coefficient, A is the area of the object confronting the fluid, and is the fluid's density. (Remember that mass per unit volume equals density.) In a more generalized form, this equation can be written as FD = bv2, where b is a constant equal to 0.5CA. For these, we've set the exponent n.

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