A transverse wave on a string is given by y-Asin - - x- t-6 - If - -0-56-cm- -12-sec-A-7-5cm then find the displacement and velocity of oscillation at x - 1 cm and t - 1 s is

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Expression for Standing Waves

A transverse ...

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A transverse wave on a string is given by $y = A sin [α x + β t + \frac{π}{6}]$ If $α = 0.56 / c m, β = 12 / s e c, A = 7.5 c m$ then find the displacement and velocity of oscillation at x = 1 cm and t = 1 s is

4.6 c m, 46.5 c m s^{- 1}

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3.75 c m, 77.94 c m s^{- 1}

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1.76 c m, 7.5 c m s^{- 1}

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7.5 c m, 75 c m s^{- 1}

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y = A

A sin [α x + β t + \frac{π}{6}]

α =

0.56 / c m, β = 12 / s e c

A = 7.5 c m, x = 1

c m

t = 1 s

y (x, t) = 7.5 sin (0.0050 x + 12 t + π / 4)

x = 1

t = 1

x = 1

t = 2 s

The equation of a transverse wave is given by $y = 10 s i n π (0.01 x - 2 t)$ where x and y are in cm and t is in second. Its frequency is

(12 t + 0.005 x + \frac{π}{4})

y_{1} = (2 cm) sin [(2 π {cm}^{- 1}) x - (100 π s^{- 1}) t]

y_{2} = (3 cm) sin [(π {cm}^{- 1}) x - (200 π s^{- 1}) t]

x = 4.5 cm

t = 5 ms

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y -

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y -

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