How can i solve an equation with vector(s) and if this can be done using conditional statement

I'm trying to solve an equation to find variable Sw and there are variables that are vectors but i don't know how to solve it all at once without having to define each value in the vector separately.

I also wonder if the equation can be solved using conditional statement. Below is the code including the vector Rw and Sw. Thank you

function Sw= Sw(n,m,p,Qv,B,Rw,Rt,SW)
n=2.2;
m=1.86;
p=0.153;
Qv=0.980;
B=3.200;
Rw=0.265;
Rt=[4.05; 4.10; 4.22; 4.30; 4.38; 4.54; 4.82; 5.03; 5.23; 5.43; 5.64; 5.80;6.24; 6.49; 6.61;6.73; 6.73; 6.69; 7.01; 7.50; 7.78; 8.15; 8.27; 8.47; 9.24; 9.97; 10.58;10.95; 11.39; 11.64; 12.00; 12.41; 13.46; 13.91; 15.20; 19.28; 21.08;22.83;24.77; 26.23; 28.06; 30.17;31.02; 31.50];
SW=[1.000; 0.998; 0.962; 0.938; 0.913; 0.895; 0.883; 0.871; 0.859; 0.840; 0.822; 0.816; 0.775; 0.763; 0.751; 0.745; 0.739; 0.721; 0.702; 0.684; 0.666; 0.654; 0.642; 0.611; 0.590; 0.563; 0.557; 0.549; 0.531; 0.519; 0.500; 0.488; 0.476; 0.458; 0.391; 0.361; 0.342; 0.324; 0.318; 0.306; 0.294; 0.288; 0.285; 0.276];
Sw=sqrt(n)(Rw/((p^m)*Rt*(1+(Qv*B*Rw)/Sw)));
end

[Kevin Joshi]

There is already a eq for Sw... Please explain the use of conditional statement.

[KSSV]

Don't name the function and output variable same.

Answer 1

[KSSV]

Read about element by element operations in MATLAB.

n=2.2;
m=1.86;
p=0.153;
Qv=0.980;
B=3.200;
Rw=0.265;
Rt=[4.05; 4.10; 4.22; 4.30; 4.38; 4.54; 4.82; 5.03; 5.23; 5.43; 5.64; 5.80;6.24; 6.49; 6.61;6.73; 6.73; 6.69; 7.01; 7.50; 7.78; 8.15; 8.27; 8.47; 9.24; 9.97; 10.58;10.95; 11.39; 11.64; 12.00; 12.41; 13.46; 13.91; 15.20; 19.28; 21.08;22.83;24.77; 26.23; 28.06; 30.17;31.02; 31.50];
SW=[1.000; 0.998; 0.962; 0.938; 0.913; 0.895; 0.883; 0.871; 0.859; 0.840; 0.822; 0.816; 0.775; 0.763; 0.751; 0.745; 0.739; 0.721; 0.702; 0.684; 0.666; 0.654; 0.642; 0.611; 0.590; 0.563; 0.557; 0.549; 0.531; 0.519; 0.500; 0.488; 0.476; 0.458; 0.391; 0.361; 0.342; 0.324; 0.318; 0.306; 0.294; 0.288; 0.285; 0.276];
Sw=sqrt(n)*(Rw./((p^m)*Rt*(1+(Qv*B*Rw)./SW)));

Answer 2

[David Hill]

n=2.2;
m=1.86;
p=0.153;
Qv=0.980;
B=3.200;
Rw=0.265;
Rt=[4.05; 4.10; 4.22; 4.30; 4.38; 4.54; 4.82; 5.03; 5.23; 5.43; 5.64; 5.80;6.24; 6.49; 6.61;6.73; 6.73; 6.69; 7.01; 7.50; 7.78; 8.15; 8.27; 8.47; 9.24; 9.97; 10.58;10.95; 11.39; 11.64; 12.00; 12.41; 13.46; 13.91; 15.20; 19.28; 21.08;22.83;24.77; 26.23; 28.06; 30.17;31.02; 31.50];
SW=[1.000; 0.998; 0.962; 0.938; 0.913; 0.895; 0.883; 0.871; 0.859; 0.840; 0.822; 0.816; 0.775; 0.763; 0.751; 0.745; 0.739; 0.721; 0.702; 0.684; 0.666; 0.654; 0.642; 0.611; 0.590; 0.563; 0.557; 0.549; 0.531; 0.519; 0.500; 0.488; 0.476; 0.458; 0.391; 0.361; 0.342; 0.324; 0.318; 0.306; 0.294; 0.288; 0.285; 0.276];
Sw=executeSw(n,m,p,Qv,B,Rw,Rt,SW);


function Sw= executeSw(n,m,p,Qv,B,Rw,Rt,SW)
    Sw=sqrt(n)*(Rw./((p^m)*Rt.*(1+(Qv*B*Rw)./SW)));
end

[Aires Bulik]

First of all thank you so jmuch because this works well! secondly, do you mind explaining to me how this actually works? sorry for the question because i really have a bad time catching up in class about this