How to find the power of a wave

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In summary, the sonic screwdriver is a tool used in the TV show "Doctor Who" to investigate outer space and prove or disprove its existence. The power of a sound wave is determined by its frequency, period, and amplitude. The sonic screwdriver can't be used to power anything mechanical, as it only has an area of 0.01 m2.
  • #1
CubicLogarithms
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A bit of background knowledge first. This term I have to do a presentation on the sonic screwdriver from doctor who. I have to investigate weather it is possible in this universe and prove/disprove it by using established physical theories. Right now I am looking to find the power of a sound wave. I have found the frequency, period and amplitude of the wave is there any formula that can give me the power/intensity of the wave from the frequency, period and intensity. Also if you have any other ideas on how to prove/disprove the sonic that would be great.

Thanks
 
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  • #2
You need to know the amplitude of the wave in order to find intensity. If you want the power, then you need the area of the sound beam.
You will also need the properties of the medium (density and speed of sound).

I have no idea what is this sonic screwdriver.
 
  • #3
nasu said:
I have no idea what is this sonic screwdriver.

not a Sci Fi fan huh :wink:
 
  • #4
Used to be. But a different set of it. :smile:
Different country, different time.

Well, maybe not different time. But I was not even aware that Dr Who is classified as SciFi.
 
  • #5
nasu said:
But I was not even aware that Dr Who is classified as SciFi.

Oh my Gosh ...
it would almost be the original TV SciFi and probably the longest running one with the many reincarnations of the Dr. over the last 50 + years
of ongoing new seasons/episodes

The Tardis was the best time machine ever, externally looked like a a standard police/public phone call box
Inside it was huge

tardis.jpg


inside with a more modern look ...

Tardis-inside.JPG


as a kid I grew up on Dr Who, having the crap scared out of me with the Darleks chasing and zapping people with their "death rays"

Darlek.jpg


I could never understand why people didn't escape from them just by running up stairs ??
as the Darleks could only go on flat surfaces LOL

and a small video clip ...


Dave
 
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  • #6
In later shows, the Daleks could move up a few feet into the air, allowing them to climb stairs.
 
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davenn said:
Oh my Gosh ...
it would almost be the original TV SciFi and probably the longest running one with the many reincarnations of the Dr. over the last 50 + years
of ongoing new seasons/episodes

Dave

For me SciFi was mostly books rather than movies.
The only shows I watched as a child and will qualify as SciFi were "Planet of the giants" and "Lost in space".
I was a big fan of both. :)
 
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  • #8
Ok, I love sci fi too, but actually you can get numbers.
Power density of a sound wave (power per area) is given by

Q = p * V, where P is sound wave pressure amplitude and V is velocity amplitude

Pressure and velocity are related to via acoustic impedance

p = R * V

For air and plane waves, R is around 400 Pa s/m
That gives you
Q = ##p^2/R##

At 120 dB, that is when you are almost going deaf, the sound pressure is around 20 Pa, so the power density at that level will be around ## \frac {20^2} {400} =1 W/m^2##
Your screwdriver can't be 1 x 1 m in dimension, most likely something like 10 x 10 cm, that gives the area of 0.01 ##m^2##
If you want to power it by a sound that makes you almost deaf and can actually collect the energy with 100 % efficiency, the most you get is 10 mW.
Not really enough to power anything mechanical.
 
  • #9
nasu said:
For me SciFi was mostly books rather than movies.
The only shows I watched as a child and will qualify as SciFi were "Planet of the giants" and "Lost in space".
I was a big fan of both. :)

I know we have hijacked the thread ... It wasn't really going anywhere anyway LOL
probably needs to be moved to Sci Fi or general discussion

yup those 2
think it was Land of the Giants, tho ... http://www.bing.com/search?q=land+of+the+giants+tv+show&src=IE-SearchBox&FORM=IENTSR&pc=U270
remember ... Voyage to the Bottom of the Sea ?
the original Battlestar Galactica ( and the much newer one)
The Time Tunnel

Star Trek .. of course
All the Gerry Anderson series ( puppet and actual actor ones) --- Thunderbirds, Captain Scarlet, Joe 90, Space 1999, UFO
Through the '70's in my teens and into the '80's my 20's I read masses of good sci fi by many of the well known authors

in the early 80's, I remember when "The Hitchhiker's Guide to the Galaxy" came out in books, then radio series then finally on TV
The TV series only covered the first 2 books ... The Hitchhiker's Guide to the Galaxy and ... The Restaurant at the End of the Universe
there were 2 more books ... So Long and Thanks for all the Fish and ... Life, the Universe and Everything
The whole series was somewhere between comical and silly but I enjoyed it as it was such a big change from my years of serious sci fi

over the last ~12 months I have been watching many of these old TV programs on youtube ... wonderful time reminiscing

There's next to no new scifi progs on TV these days ... like the good old westerns ( The High Chaparral, Bonanza etc) they are slipping into history :frown:Dave
 

1. What is the definition of power in the context of a wave?

Power is the rate at which energy is transferred by a wave, measured in units of watts (W).

2. How is the power of a wave related to its amplitude?

The power of a wave is directly proportional to the square of its amplitude. This means that as the amplitude of a wave increases, its power also increases.

3. How can the power of a wave be calculated?

The power of a wave can be calculated using the formula P = E/t, where P is power, E is energy, and t is time. Energy can be calculated using the formula E = 0.5 * ρ * A^2 * v^2, where ρ is the density of the medium, A is the amplitude, and v is the wave speed.

4. What factors affect the power of a wave?

The power of a wave is affected by its amplitude, frequency, and medium through which it is traveling. In general, a larger amplitude, higher frequency, and denser medium result in a higher power.

5. How does the power of a wave impact its behavior?

The power of a wave determines its intensity, which can affect how the wave behaves. For example, a high-power wave may cause more damage or have a greater impact than a low-power wave. Additionally, the power of a wave can impact its ability to travel long distances without losing strength.

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