i have an System in the form below.
I try to plot s over the angle t which is used in the functions (S,DS and DDS) but because maple uses t in the functions (s, v and a) as the time the calculated eigenfrequency doesnt fit to the System.
The eigenfrequency should be omega:=sqrt(c/m)=1035 (over 360 degrees) but because of the angle time switch the eigefrequency is 1035 (over 1).
Has someone an idea how i can tell maple that t is an angle in degree? ( It is necessary to plot s over the angle in degree)?
T := module() option package;
export sin, cos;
sin := proc(x) :-sin(x*Pi/180); end proc:
cos := proc(x) :-cos(x*Pi/180); end proc:
s := proc (t) options operator, arrow; x(t) end proc;
v := proc (t) options operator, arrow; (D(s))(t) end proc;
a := proc (t) options operator, arrow; (D(v))(t) end proc;
m := 42:
ODE := m*a(t)+d*v(t)+c*s(t)= -(1/1000)*c*S-(1/1000)*d*DS*(2*(250*(1/60))*Pi)-(1/1000)*m*DDS*(2*(250*(1/60))*Pi)^2;