using vavg = 2/r^2 * integral(u(r))rdr and u(r) = 0.05[1 – (r/r)^2] use the matlab int function, calculate the average velocity of the fluid as r ranges from 0.01 to 0.1 in matlab

To calculate the average velocity of the fluid using the formula vavg = (2/r^2) * integral(u(r) * r * dr) in MATLAB, you can use the "integral" function.

Here is an example of how to calculate the average velocity for the given range of r (from 0.01 to 0.1), assuming u(r) = 0.05 * (1 - (r/r)^2):

main.m
u = @(r) 0.05 * (1 - (r/r)^2); % Define the function u(r)
r_start = 0.01; % Starting value for r
r_end = 0.1; % Ending value for r

% Calculate the average velocity using the integral function
vavg = (2 / r_end^2) * integral(@(r) u(r).*r, r_start, r_end);

% Display the average velocity
disp(['Average Velocity: ' num2str(vavg)]);
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Running this code in MATLAB will give you the average velocity of the fluid as a result.