- #1

Husker70

- 90

- 0

## Homework Statement

A transverse wave on a string is described by the wave function

y = (.120m) sin(pie/8 + 4pie(t))

(a) Determine the transverse speed and acceleration of an element of the

string at t=0.200s for the point on the string located at 1.60m

(b) What are the wavelength, period, and speed of propagation of this wave?

## Homework Equations

Part (a)

Velocity = -wA cos(kx-wt)

Acceleration = -w^2A sin(kx-wt)

Part B

Wavelength = k = 2pie/lambda

Period = 1/f

Speed = f(lambda)

w = 2pief

f = w/2pie = 2.0 rad/s

## The Attempt at a Solution

Part (a)

V = -(4pie) (.120m)cos(pie/8 + 2.51) I don't know what to do from here

A = -(4pie)^2 (.120m) sin(pie/8 + 2.51) I don't know what to do from here

Part (b)

Wavelength = pie/8 = 2pie/lambda = 16m

Period = 1/2.0 s^-1 = .5s

Speed f(lambda) = (2.0s^-1)(16m) = 32m/s

If anyone can help I would appreciate it.

Thanks,

Kevin