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%.

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

Licensing

w:en:Creative Commons
attribution
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Under the following conditions:
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Captions

Graph of the speed of sound in water relative to temperature

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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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