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File:Speed of sound in water.svg

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Summary

Description
English: Graph of the speed of sound in water vs temperature. Tabulated values (circle markers) from "The Engineering Toolbox" [1]. Smooth continuous line is a 3rd degree polynomial fit (see below) calculated on the tabulated data, accurate within 0.1%.
Español: Gráfico de la rapidez del sonido en el agua versus temperatura. Los datos tabulados (círculos) se obtuvieron de "The Egineering Toolbox" [2]. La línea continua es un ajuste polinomial de orden 3 (ver abajo) calculado a partir de los datos tabulados, la precisión es del 0.1%.
Русский: Скорость звука в воды в зависимости от температуры в диапазоне от 0 до 100 °С

C(T) = a0 + a1T + a2T2 + a3T3 (m/s)
a0 = 1404.34
a1 = 4.579692
a2 = -0.041224
a3 = 0.000093

"""
Plot of the speed of sound versus temperature in water

The data is obtained from "The Engineering Toolbox" [1]_


References
----------
.. [1] The Engineering Toolbox. Water - Speed of Sound.
    Accesed: April 27, 2015.
    http://www.engineeringtoolbox.com/sound-speed-water-d_598.html
"""
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import rcParams
 
rcParams['font.family'] = 'serif'
rcParams['font.size'] = 16 

data = np.array([
       [    0.,  1403.],
       [    5.,  1427.],
       [   10.,  1447.],
       [   20.,  1481.],
       [   30.,  1507.],
       [   40.,  1526.],
       [   50.,  1541.],
       [   60.,  1552.],
       [   70.,  1555.],
       [   80.,  1555.],
       [   90.,  1550.],
       [  100.,  1543.]])
       
temp = data[:, 0]
vel = data[:, 1]

a3, a2, a1, a0 = np.polyfit(temp, vel, 3)
temp_fit = np.linspace(0,100)
vel_fit = a0 + a1*temp_fit + a2*temp_fit**2 + a3*temp_fit**3

plt.plot(temp, vel, 'o')
plt.plot(temp_fit, vel_fit, 'k')
plt.grid(True)
plt.xlabel(r"Temperature ($^\circ$C)")
plt.ylabel(r"Speed (m/s)")
plt.savefig("Speed_of_sound_in_water.svg")
Date
Source Own work
Author K. Krallis, SV1XV
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Licensing

w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

Captions

Graph of the speed of sound in water relative to depth

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depicts

10 May 2014

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Date/TimeThumbnailDimensionsUserComment
current21:16, 27 April 2015Thumbnail for version as of 21:16, 27 April 2015720 × 540 (36 KB)NicoguaroSimilar formatting to other plots in the article. Added Python code (and data) for the automatic generation of the file.
15:24, 26 August 2014Thumbnail for version as of 15:24, 26 August 2014757 × 591 (52 KB)Sv1xv{{Information |Description ={{en|1=Graph of the velocity of sound in water vs temperature. Original values and 3rd degree polynomial fit on data from "The Engineering Toolbox" [http://www.engineeringtoolbox.com/sound-speed-water-d_598.html]. Smoothe...

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