A transverse traveling wave on a cord is represented by, where D and x are in meters and t is in seconds.

(a) Determine the wavelength.
(b) Determine the frequency.
(c) Determine the velocity (magnitude and direction). (
d) Determine the amplitude.
(e) Determine the maximum and minimum speeds of particles of the cord.

Answer with Explanation:

We are given that a transverse travelling wave on a cord is represented by

Where D and x in meters

t(in seconds)

a.General equation of transverse wave

By comparing we get

A=0.51

Wavelength,

b.

Frequency,

c.Velocity,

Direction:Towards negative x- axis

d.Amplitude,A=0.51 m

e.Maximum speed,

Minimum speed,

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2

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