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Water waves approach a buoy in the ocean. There is a distance of 10.0 m between adjacent crests, and a crest reaches the buoy every 5.00 s. The buoy bobs up and down in such a manner that its vertical position varies by 2.00 m.



Determine the following:



1

Amplitude of the waves
2

Frequency of the waves
3

Wavelength of the waves
4

Speed of propagation of the waves
5

Number of waves which pass the buoy in 1.00 h
6

Maximum vertical speed of the buoy
7

Maximum vertical acceleration the buoy

A traveling transverse wave is described by

y = (0.100 m) sin[2π(x - 2.00t)]

Determine the following:



8

Wave number
9

Wavelength
10

Angular frequency
11

Wave frequency
12

Wave velocity
13

Period of the wave
14

Amplitude of the wave
15

Direction the wave is traveling
16

Transverse displacement of the medium at x = 20.0 m at t = 10.0 s
17

Maximum transverse speed of a particle in the medium which is 20.0 m from the source at the time t = 10.0 s.
18

Maximum transverse acceleration of a particle in the medium which is 20.0 m from the source at the time t = 10.0 s.

A string on an instrument is 1.00 m long, has a mass of 2.00 x 10-2 kg, and is vibrating in the second harmonic with a frequency of 300 Hz.

Determine the following:



19

Linear mass density of the string
20

Wavelength in the string
21

Speed of propagation of transverse waves in the string
22

Tension in the string
23

Tension in the string that would cause it to vibrate in the fundamental mode with a frequency of 300 Hz





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