A string vibrates according to the equation where

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

A string vibrates according to the equation y=5sin⁡πx3cos⁡40πty = 5 \sin \frac{\pi x}{3} \cos 40\pi t where, xx and yy are in centimetres and tt is in seconds (a) What is the speed of the component wave? (b) What is the distance between the adjacent nodes? (c) What is the velocity of the particle of the string at the position x=1.5x = 1.5 cm when t=98t = \frac{9}{8} s?

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