MATLAB

PROBLEM 4 OF 5

Problem 4 (3 points) : Approximation

Below is some wind tunnel data for force (F) versus velocity (v):

v (m/s)	10	20	30	40	50	60	70	80
F (N)	25	70	380	550	610	1220	830	1450

1. Fit this data to a curve of the form:

   F = a v ^b

   Make sure to display and identify the values you get for a and b. (Hint: transform the curve to a polynomial by taking the natural log.)

2. Plot the data points and the approximating function over the range v = 0 to 90 m/s on a single figure. Use diamonds to represent the data points, a magenta dotted line for the approximating function.

3. Estimate the force for a wind velocity of 68 m/s using your approximating function.