Problems for Chapter Four 1)Ifthe speedofspeed ofsound in air at 20 deg C is 343

Question

Problems for Chapter Four 1)Ifthe speedofspeed ofsound in air at 20 deg C is 343 mvs what is it at' 35 degC. 2) The density o€ ?, at 0'Cand atmospheric pressure of 30' Pa is 1 98 kpin' Ifthe tio of spocific heats for CO, is 1.304, then what is its speed of sound 3) For a harmonic plane wave with pressure pcoepxc.) show that the particle velocity is ) What is condensation of an acoustic plane wave in water if the pressue amplitude is 2Pa 5) A one dimensional acoustic wave in water has a fluctuating pressure with an amplinude of 2 Pa Find the acoustic paticle velocity amplinude 6) A one dimensional acoustik wave in air has a flucteating pressure with an amplide of 2 P Find the ampl inade of the acoustic density perturbution 7) For a 500 Hz plane wave in air with a sound pressure level of 45 dB re 20 uPa, with a pressure Aco) find (a) the intensity (bi the acoustic particle velocity amplitude (c) the amplitude of the acoustic density perturbation (d) the amplitude of the particle displacement 8) For a 1000 Hz plane wave in air with a sound pressure level of 1 30 dB re 20uPa find (a) the acoustic particle velocity amplitude (b) the amplitade of the acomstic density paturhation (c) the amplitude of the particle displacement Are the assumptions of small pertubations met? 9) For a 1000 Hz plane wave in water with a sound peessure level of 220 dB re 1 Pa, find(a) the acoustic particle velocity amplitade (b) the amplitude of the acoustic density perturbuton (c) the amplitude of the particle displacement. Are the assumptions ed small peurbations met? 10) For a 1000 Hz spherical wave in air with a sound pressure level of 45 dB re 20 uPa find (a) the acoustic particle velocity amplitude and (b) the amplitude of the particle displacement for r-0.1 m and 100m. How do the results compare to those in question 7 1)351 ms 2)256ms 4)88x10 )133 x 10ms 6) 1.7x 10 7) (a)3.07x 10 W() 121x 10()426x 10 kgm (d)3.8 x 0 8)(a)0215ms(b) 7.6 x 104 kprn? (c) 3.43 % 10" m 9) (a) 0094 mis (b)0,0628 kg m (c)149x 10m IO (a) 1573 10 and 1.21 x 10 ms (b)2.21 x 10and 17x 10m 74

Explanation / Answer

1) The formula for the speed of the sound in air is given by v = 331m/s + 0.6 m/s/C x T., where 331m/s is the speed of the sound in air at freezing temperature. T is the temperature at which the sound to be calculated.

Here T is 35 degree C. So we have v = 331 + (0.6 x 35) = 331+21 = 352 m/s.

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