\(y=A sin 2 \pi(\frac{x}{\lambda}-\frac{t}{T})\)

\(y=(10cm)sin[(628.3/cm)x-(6283/s)t]\)

(a)\(\frac{2 \pi}{\lambda}=\frac{628.3}{cm}\)

\(\lambda=\frac{2 \pi}{628.3}cm=0.01cm\)

(b)\(\mu=\frac{1}{T}\)

\(\frac{2 \pi}{T}=\frac{6283}{s}\)

\(\mu=\frac{1}{T}=\frac{1}{0.001s}=1000Hz\)

(c)\(k=\frac{2 \pi}{\lambda}=628.3/cm\)

(d)\(\omega=2 \pi \mu=\frac{2 \pi}{T}=6283/s\)

(e)T=0.001s

(f)\(v=\mu \lambda=(1000Hz)(0.01cm)=10cm/s\)

(g)\(A=10cm\)