The displacement of a string is given by (all quantities in SI units)

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

The displacement of a string is given by

y=0.04\sin\bigl(\tfrac{2\pi}{0.50}x-60\pi t+\tfrac{\pi}{6}\bigr)

(all quantities in SI units). Find the displacement of the particle located at

x=0.25\,\text{m}

at time

t=0.010\,\text{s}

. (a)

0.0040\,\text{m}

(b)

-0.039\,\text{m}

(c)

0.039\,\text{m}

(d)

-0.030\,\text{m}