Question

Derive the wave equation of a transverse wave travelling through
stretched string due tension force T and linear density p.​

Answer 1

Explanation:

Speed=v,Tension=t,Density=

L

m

So, the velocity is given by,

KL

A

T

B

M

C

So.[M

0

LT

−1

]=[L]

A

[MLT

−2

]

B

[

L

M

]

C

[M

0

LT

−1

]=[M

B+C

L

A+B−C

T

−2B

]

On computing the coefficient then we get,

B+C=0,A+B−C=1−2B=−1

Then we getb=

2

1

,c=

2

−1

,a=0

Thus, V=k

M

T