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The equation of a transverse wave travelling on a rope is given by $y = 10 sinπ (0.01 x - 2.00 t)$ where y and x are in cm and t in seconds. The maximum transverse speed of a particle in the rope is about

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62.8 cm/s

121 cm/s

100 cm/s

75 cm/s

answer is A.

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Detailed Solution

Maximum speed of a particle is given as

$V_{\max} = Aω$

Where $A = 10 cm & ω = 2 π rad / s$ for the given wave.

$∴ V_{\max} = 10 \times 2 π = 62.8 cm / s$

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