Physics

Problem

A wave is described by the equation

y = (1.0 \text{ mm}) \sin \pi \left( \frac{x}{2.0 \text{ cm}} - \frac{t}{0.01 \text{ s}} \right)

a. Find the time period and the wavelength. b. Write the equation for the velocity of the particles. Find the speed of the particle at

x = 1.0 \text{ cm}

at time

t = 0.01 \text{ s}

. c. What are the speeds of the particles at

x = 3.0 \text{ cm}

5.0 \text{ cm}

and

7.0 \text{ cm}

t = 0.01 \text{ s}

? d. What are the speeds of the particles at

x = 1.0 \text{ cm}

t = 0.011

0.012

and

0.013 \text{ s}