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Riysica science (2019)BONUS Calculate the wavelength _ of the musical note € which has a frequency of 512 cycles per second ( I/s or Hz) sound has - speed af...

Question

Riysica science (2019)BONUS Calculate the wavelength _ of the musical note € which has a frequency of 512 cycles per second ( I/s or Hz) sound has - speed af 334 meters per sec (m/s) 'rtej"ove ' his ~ourse U~ . ` X)4t" page ycu likeJ4Amer of temperature 10 "C is mixed with kg of water of 3C BONUS Suppose that - kg of of the mixture expressed degrees Celsius? Show all work: Calculate the finab temoeraturl"C

riysica science (2019) BONUS Calculate the wavelength _ of the musical note € which has a frequency of 512 cycles per second ( I/s or Hz) sound has - speed af 334 meters per sec (m/s) 'rtej"ove ' his ~ourse U~ . ` X)4t" page ycu like J4Amer of temperature 10 "C is mixed with kg of water of 3C BONUS Suppose that - kg of of the mixture expressed degrees Celsius? Show all work: Calculate the finab temoeraturl "C



Answers

The speed of sound in air at 20$^\circ$C is 344 m/s. (a) What is the wavelength of a sound wave with a frequency of 784 Hz, corresponding to the note G$_5$ on a piano, and how many milliseconds does each vibration take? (b) What is the wavelength of a sound wave one octave higher (twice the frequency) than the note in part (a)?

Okay, So in this video, we're going to try to find the wavelength for the G five tune. So if you have the G five to and this one will has the frequency of 784 hurts. So this is the frequency and I'm here. I'm here trying to find the wavelength for this G five tune here. I'm going to use a formula V equal to Lunda, multiplied by the frequency numbers, the wavelength. And he is the speed of sound in air. And from this, if I'm going to rearrange it, I can see that Lambda is equal to be divided by F and Lambda is 344 meter per seconds, divided by 784 hairs, which is equal to 0.44 meters. So this is the wavelength for the G five party. It's asking me to find the wavelength again, but this time, if the frequency was active. So if if prime is equal to two f so in music, when we say activity means the frequency will debit that is two multiplied by 784 which is equal to 1500 68. 68 hurts and from this, we can use my formula be divided by F prime. This will be equal to love, the prime, the new wavelength and that's equal to 344 meter per second, divided by 1568 hertz on notice here, the speed of sound energy That did not change because the medium did not change and therefore the speed of the wave will not going to change. So this is equal to 0.22 meters. So this is our wavelength if you double the frequency and it's clear from here that when we double the frequency, the new Web length will be equal to have the original labeling. So when we double the frequency, the new wavelength will be half.

So in this problem, were given the speed of sound in the air to give a temperature 20 degrees, and they're also given the frequency of the sound. This is being produced now. When it comes to sound was a mechanical wave. Its speed depends on the temperature and for every wave, the frequency and the speed of sound or the speeds off propagation off the very yourself will dictate the wavelength or the given way. So we need to start from from the baby formula from the wavelength formula landing because and then this is the last in the speed. Oh, the way over the frequency or the Austin three Behaviour of the weight. This is for the periodical ways, so you can directly substitutes 344 m per second over 784. This is an occurrence, but hurts is one over second. So second and secondly, cancel out on your left with meters. Finally, the Sequels love Naples 0.40 for meters. The actual bodies zero point for tree 87 m. But this is an approximate body around it up for this on this number. So for the part B of this problem way to find the time it takes for each reparation. So we know that vibrations when it comes to the waves, the time taken for each vibrations. Actually the period off the installation because away is an awesome story phenomenon oscillation that propagates itself. It's installation off sudden change in the medium that's propagating itself through the medium. In this case, we know the relationship between the pregnancy which is given on the period of distillation. He's like That's therefore reeking of fines. The variance we divides one over 784 hurts on. Of course, this is going to be in seconds. So that's going to be called 0.127 five seconds. And you should a round up this number and obtain that the period of one installation or vibration in this case is going to be who 1.28 milliseconds and for the part Ah, see, a problem Or in this case, this would be Is there two cards to the party, actually, And so this is for it. Hey, bring an end. This is going to be part of me. So for this part of the problem each day you actually corresponds to a factor off, though infrequent. So to find the vein lanes off north day, we need to take the wavelength for your moderated in the party. And then we need to basically divided into two. So lambda dreamily equal Lambda in half, which is zero point for millions. The correct number here. So 387 invincible for over two. And when we place this oneness into calculator, you obtain that a tragic response to the bay linked off 0.200 in 19 meters now all part of the problem are sold. I hope you find it's helpful and they hope to see you in another lesson.

Hello students in this question. The frequency of the middles, Capital C. On the piano. It is equal to 2 61.6 herds. Okay, so for the part we have to calculate the wavelength of the sound with its frequency in the air. Okay, So in the air, the spirit of the sound, we is equal to 344 m/s at the room temperature. So we can calculate lambda, which will be F. P. D. Whereby f. So we is 3 44 m per second and frequency is to 61.6 hertz. So from here the equivalent lambda in the air comes out to be 1.31 m. Okay, so this becomes the answer for the part A Now solving for the part B in which we have to calculate this vigilant lambda, N. B. Water. So in the water the steel of the sound to be, it is equal to 1440 m per second. So substituting values here. So lambda in the water, it is equal to 1440 m per second, divided by 2 61.6 Hurts. Okay? So from here, after solving the wavelength, λ comes out to be 5.5 m, so this becomes the answer for the part B of the problem. So these are the two siblings of the sound. Okay. One in the air and this is in the water. Okay, Thank you.

Inner temperature of which are equals 37.9 degrees centigrade in a temperature. Look, child, uh, inner time preacher temperature off the time equals pretty 7.37 point nine degree centigrade. On radius off your drum equals, uh, radius are off. Your drum equals two point five millimeters. 2.5 millimeters equals 2.5. Multiply by 10 to the power minus three meters. Let's do party. Uh, they know they'd beat frequency equals five. Point it. It multiply by 10 to the power dim times. TT is the absolute temperature. Auntie, in this case is 37.9 degrees Celsius. We need to convert 37.923 cells into Calvin's. Therefore, t equals 37.9. Bliss to 73 gives us 303 110 point nine Calvin and therefore a big frequency. Uh, big frequency equals five point it. It multiplied by 10 to the power 10. Multiple. I V t auntie is 310.9 Calkins and therefore beak frequency equals one point to eat one point it multiply by 10 to the power. Uh, 13 horse. Now, let's do part B uh, part B. We know it. Uh, I already did. Or peanut equals E times, ese missive ity times A sigma sigma is a stiffened bolts man. Constant times area into, uh, t to the power for minus our t s to the power forties. Too tired t s is the temperature of surroundings in this case equals one sigma is a constant. It's equal to 5.67 multiplied by 10 to the power minus eight. What per meter square dot Care to the power four kids Kallen and very four power radiating or P net equals, um one multiplied by is one signifies 5.67 multiplied by 10 to the power minus eight. Multiply. The area is 2.5 multiplied by 10 to the power um, minus three whole square times 3.14 3.14 And since at vehicles by our square by his 3.14 and, uh, are in this case is 2.5 months of black who tended bar minus three. Multiply by, uh T to the power for well t to the power for is 310 points mine to the power for minus D A t s temperature of surrounding is to 93 uh, to the power for and so this we get being, uh, met equals, uh, being that equals 2.1. Multiply by 10 to the power minus three wants, and this can be written as 2.1. Many want No, let's do part. See, Marcie. Well, 2.1 million bought can be written is 2.1 multiplied by 10 to the power minus three. Jewell per second and e equals h f Nuccio put on equals a chip. It is 6.63 multiplied by 10 to the power minus 34. Multiply by F is 1.8 multiply by 10 to the power 13 and therefore e equals 11.934 Multiply might 10 to the power minus 21. Jules a number of photons per second emitted by the ear drum. So a number off for tones number of photons per second. Oh, bird second emitted by the ear drum emitted. Bye. Uh, the ear drum by the ear drum equals a 2.1 multiplied by 10 to the power minus three. Divided by 11.9 pre multiply by 10 to the power minus 21. And this gives us 0.176 multiplied by 10 to the power 18 four tones. Uh, per second and this can be further written is 1.8 month supply. We tend to the power are 17 foot owns 17 4 tones. We're second, so one point it multiplies by 10 to the power 17 4 dawns, uh, burn second.


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