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Oscillation and WavesQuestion and Answers: Page 1

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prove speed of sound in air v=331+0.6Tc^° ((m/(sec)))

$${prove}\:{speed}\:{of}\:{sound}\:{in}\:{air} \\ $$$${v}=\mathrm{331}+\mathrm{0}.\mathrm{6}{Tc}^{°} \left(\frac{{m}}{{sec}}\right) \\ $$

Question Number 164009    Answers: 2   Comments: 0

Question Number 163733    Answers: 0   Comments: 0

prove v=(√((F∙L)/m)) ?

$${prove}\:{v}=\sqrt{\frac{{F}\centerdot{L}}{{m}}}\:\:\:? \\ $$

Question Number 154966    Answers: 0   Comments: 1

we know y=asin(ωt−kx) is equation of wave which velocity will be (ω/k) But what will be the velocity of a wave that is created from superposition of two sine wave of different velocity like bellow y=5sin(6t−x)cos(13t−6x) ?

$$\:\mathrm{we}\:\mathrm{know}\:\:\mathrm{y}=\mathrm{asin}\left(\omega\mathrm{t}−\mathrm{kx}\right)\:\mathrm{is}\: \\ $$$$\mathrm{equation}\:\mathrm{of}\:\mathrm{wave} \\ $$$$\:\mathrm{which}\:\mathrm{velocity}\:\mathrm{will}\:\mathrm{be}\:\frac{\omega}{\mathrm{k}} \\ $$$$\:\:\mathrm{But}\:\mathrm{what}\:\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\: \\ $$$$\:\:\mathrm{a}\:\mathrm{wave}\:\mathrm{that}\:\mathrm{is}\:\mathrm{created}\:\mathrm{from} \\ $$$$\:\mathrm{superposition}\:\mathrm{of}\:\mathrm{two}\:\mathrm{sine}\:\mathrm{wave}\:\mathrm{of}\: \\ $$$$\mathrm{different}\:\mathrm{velocity}\:\mathrm{like}\:\mathrm{bellow} \\ $$$$\:\:\:\mathrm{y}=\mathrm{5sin}\left(\mathrm{6t}−\mathrm{x}\right)\mathrm{cos}\left(\mathrm{13t}−\mathrm{6x}\right)\:?\: \\ $$

Question Number 152346    Answers: 0   Comments: 0

we know the equation of a simple harmonic wave going to left to right is, y=asin((2π)/λ)(vt−x) if we put t=0 and x=0 , we get y=0 and if we put t=0 and x=0.25λ , we get y= a !! But How could this be possible? How could right side particles start oscillating before the left ones?Don′t we need a certain time gap for right side particles to start oscillating??

$$\mathrm{we}\:\mathrm{know}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{a}\:\mathrm{simple}\:\mathrm{harmonic}\:\mathrm{wave} \\ $$$$\mathrm{going}\:\mathrm{to}\:\mathrm{left}\:\mathrm{to}\:\mathrm{right}\:\mathrm{is}, \\ $$$$\:\mathrm{y}=\mathrm{asin}\frac{\mathrm{2}\pi}{\lambda}\left(\mathrm{vt}−\mathrm{x}\right)\: \\ $$$$\:\mathrm{if}\:\mathrm{we}\:\mathrm{put}\:\mathrm{t}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}=\mathrm{0}\:, \\ $$$$\mathrm{we}\:\mathrm{get}\:\mathrm{y}=\mathrm{0} \\ $$$$\mathrm{and}\:\mathrm{if}\:\mathrm{we}\:\mathrm{put}\:\mathrm{t}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}=\mathrm{0}.\mathrm{25}\lambda\:, \\ $$$$\mathrm{we}\:\mathrm{get}\:\mathrm{y}=\:\mathrm{a}\:\:\:!! \\ $$$$\mathrm{But}\:\mathrm{How}\:\:\mathrm{could}\:\mathrm{this}\:\mathrm{be}\:\mathrm{possible}? \\ $$$$\mathrm{How}\:\mathrm{could}\:\mathrm{right}\:\mathrm{side}\:\mathrm{particles}\:\mathrm{start}\:\mathrm{oscillating} \\ $$$$\mathrm{before}\:\mathrm{the}\:\mathrm{left}\:\mathrm{ones}?\mathrm{Don}'\mathrm{t}\:\mathrm{we}\:\mathrm{need}\:\mathrm{a}\: \\ $$$$\mathrm{certain}\:\mathrm{time}\:\mathrm{gap}\:\:\mathrm{for}\:\mathrm{right}\:\:\mathrm{side}\:\mathrm{particles} \\ $$$$\:\mathrm{to}\:\mathrm{start}\:\mathrm{oscillating}?? \\ $$

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Ocean waves are observed to travel along the water surface during a developing storm. A Coast Guard weather station observes that there is a vertical distance from high point to low point of 4.6 meters and horizontal distance of 8.6 meters between adjacent crests.The waves splash into the station once every 6.2 seconds Determine the frequency and the speeed of these waves.

$${O}\mathrm{cean}\:\mathrm{waves}\:\mathrm{are}\:\mathrm{observed}\:\mathrm{to} \\ $$$$\mathrm{travel}\:\mathrm{along}\:\mathrm{the}\:\mathrm{water}\:\mathrm{surface} \\ $$$$\:\mathrm{during}\:\mathrm{a}\:\mathrm{developing}\:\mathrm{storm}. \\ $$$$\mathrm{A}\:\mathrm{Coast}\:\mathrm{Guard}\:\mathrm{weather}\:\mathrm{station} \\ $$$$\:\mathrm{observes}\:\mathrm{that}\:\mathrm{there}\:\mathrm{is}\:\mathrm{a}\:\mathrm{vertical}\: \\ $$$$\mathrm{distance}\:\mathrm{from}\:\mathrm{high}\:\mathrm{point}\:\mathrm{to}\:\mathrm{low} \\ $$$$\:\mathrm{point}\:\mathrm{of}\:\mathrm{4}.\mathrm{6}\:\mathrm{meters}\:\mathrm{and}\:\mathrm{horizontal} \\ $$$$\mathrm{distance}\:\mathrm{of}\:\mathrm{8}.\mathrm{6}\:\mathrm{meters}\:\mathrm{between}\: \\ $$$$\mathrm{adjacent}\:\mathrm{crests}.\mathrm{The}\:\mathrm{waves}\:\mathrm{splash}\: \\ $$$$\mathrm{into}\:\mathrm{the}\:\mathrm{station}\:\mathrm{once}\:\mathrm{every}\:\mathrm{6}.\mathrm{2}\:\mathrm{seconds} \\ $$$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{frequency}\:\mathrm{and} \\ $$$$\:\mathrm{the}\:\mathrm{speeed}\:\mathrm{of}\:\mathrm{these}\:\mathrm{waves}. \\ $$

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A space ship moving towards you at 0.5c shine a light at you.At what speed do you see the light approaching?

$${A}\:{space}\:{ship}\:{moving}\:{towards}\:{you}\:{at} \\ $$$$\mathrm{0}.\mathrm{5}{c}\:{shine}\:{a}\:{light}\:{at}\:{you}.{At}\:{what}\:{speed} \\ $$$${do}\:{you}\:{see}\:{the}\:{light}\:{approaching}? \\ $$

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A sound wave of velocity 350m/s is directed towards the surface of the water. If the ratio of the wavelength of sound in air to that in water 150 ratio 475.Calculate the velocity of the wave in water.

$${A}\:{sound}\:{wave}\:{of}\:{velocity}\:\mathrm{350}{m}/{s} \\ $$$${is}\:{directed}\:{towards}\:{the}\:{surface}\:{of} \\ $$$${the}\:{water}.\:{If}\:{the}\:{ratio}\:{of}\:{the} \\ $$$${wavelength}\:{of}\:{sound}\:{in}\:{air}\:{to}\:{that} \\ $$$${in}\:{water}\:\mathrm{150}\:{ratio}\:\mathrm{475}.{Calculate} \\ $$$${the}\:{velocity}\:{of}\:{the}\:{wave}\:{in}\:{water}. \\ $$

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