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maxonik [38]
3 years ago
5

A sound wave travels through a column of hydrogen at STP. Assuming a density of rho = 0.0900 kg/m3 and a bulk modulus of β = 1.4

2 ✕ 105 Pa, what is the approximate speed (in m/s) of the sound wave?
Physics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer:

speed of sound will be 1256 m/sec

Explanation:

We have given density \rho =0.09kg/m^3

And bulk modulus \beta =1.42\times 10^5Pa

We know that speed of sound in a medium is given by

v=\sqrt{\frac{\beta }{\rho }}, here \beta is bulk modulus and \rho is density

So speed will be v=\sqrt{\frac{1.42\times 10^5}{0.09 }}=12.56\times 10^2=1256m/sec

So speed of sound will be 1256 m/sec

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2 years ago
An airplane is heading due south at a speed of 690 km/h . A) If a wind begins blowing from the southwest at a speed of 90 km/h (
Afina-wow [57]

Answer:a) 629,5851 km/h in magnitude b)629,5851 km/h at 84,2 degrees from east pointing south direction or in vector form 626,6396 km/h south + 63,6396km/h  east. c) 16,5 km NE of the desired position

Explanation:

Since the plane is flying south at 690 km/h and the wind is blowing at assumed constant speed of 90 km/h from SW, we get a triangle relation where

 

see fig 1

Then we can decompose those 90 km/h into vectors, one north and one east, both of the same magnitude, since the angle is 45 degrees with respect to the east, that is direction norhteast or NE, then

90 km/h NE= 63,6396 km/h north + 63,6396 km/h east,

this because we have an isosceles triangle, then the cathetus length is  

hypotenuse/\sqrt{2}

using Pythagoras, here the hypotenuse is 90, then the cathetus are of length

90/\sqrt{2} km/h= 63,6396 km/h.  

Now the total speed of the plane is

690km/h south + 63,6396 km/h north +63,6396 km/h east,

this is 626,3604 km/h south + 63,6396 km/h east,  here north is as if we had -south.

then using again Pythagoras we get the magnitude of the total speed it is

\sqrt{626,3604 ^2+63,6396^2} km/h=629,5851km/h,

the direction is calculated with respect to the south using trigonometry, we know the

sin x= cathetus opposed / hypotenuse,

then

x= sin^{-1}'frac{63,6396}{629,5851}=5,801 degrees from South as reference (0 degrees) in East direction or as usual 84,2 degrees from east pointing south or in vector form

626,6396 km/h south + 63,6396km/h  east.

Finally since the detour is caused by the west speed component plus the slow down caused by the north component of the wind speed, we get

Xdetour{east}= 63,6396 km/h* (11 min* h)/(60 min)=11,6672 km=Xdetour{north} ,

since 11 min=11/60 hours=0.1833 hours.

Then the total detour from the expected position, the one it should have without the influence of the wind, we get  

Xdetour=[/tex]\sqrt{2*  11,6672x^{2} }[/tex]  = 16,5km at 45 degrees from east pointing north

The situation is sketched as follows  see fig 2

 

4 0
3 years ago
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