Question

y(x,t)=A sin(ωt-ωx/v)
when we put ω=2πν(nu)
correct equation : y(x,t)=A sin(2πt/T -2πνx/v)
question is difference between 't' and 'T'.
pls. reply as soon as possible.

Answer 1

acually
w is angular velocity which is equal to 2π/T
e.g. w=2π/T =====================(1)
or , 2π x frequency =2πv =========(2)
now ,
y(x,y)=Asin(wt-wx/V)
put above from equation (1)and (2)
y(x,y)=Asin(2πt/T-2πvx/V)
here you see how first equation convert second equation.

here T is time period means take time for one revolution . but t is time in which we have to find position of particle of given wave equation .
ex;-
find position of particle when t =T/4 and x=0
if equation of wave , y=asin(2πt/T-kx)

then you proceed this ---
y=asin{2πT/4T-k(0)}
=asin(π/2)=a
hence position of particle is y=a