A transverse sinusoidal wave moves along a string in the positive x - direction at a speed of 10 cms−1. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap - shot of the wave. The velocity of point P when its displacement is 5 cm is...

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Armeebildzku · Accepted Answer

y  =  a  sin  ⁡  [            2              π                    λ        (  v  t  −  x  )  ]                 (  1  )    P  u  t     y  =  5     c  m     a  n  d     a  =  10     c  m     i  n     E  q  .  (  1  )  ,    sin  ⁡  [            2              π                    λ        (  v  t  −  x  )  ]  =      1    2      ⇒            2              π                    λ        (  v  t  −  x  )  =            π        6      P  a  r  t  i  c  l  e     v  e  l  o  c  i  t  y    V  =            d      y              d      t        =  a  (            2              π                    λ        v  )  cos  ⁡  [            2              π                    λ        (  v  t  −  x  )  ]                 (  2  )    a  =  0.1  m  ,     v  =  0.1  m      s          −      1        ,     a  =  0.1  m     a  n  d         λ    =  0.5  m  .              2              π                    λ        (  v  t  −  x  )  =            π        6    .    V  =                    3                    π              5    0  m      s          −      1           a  l  o  n  g     t  h  e     y  −  a  x  i  s  .

A transverse sinusoidal wave moves along a string in the positive x - direction at a speed of 10 cms−1. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap - shot of the wave. The velocity of point P when its displacement is 5 cm is...

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