What Unit is 4.8912e12 m2 kg/s^4?

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SUMMARY

The discussion centers on the unit derived from multiplying hertz and watts, resulting in 4.8912 × 10^12 m² kg/s⁴. Participants confirm that while the units are mathematically correct, they do not correspond to any known physical quantity. The conversation highlights the unusual nature of combining power (watts) and frequency (hertz) and questions the purpose behind such calculations. Ultimately, the inquiry leads to a deeper exploration of photon behavior and the limitations of dimensional analysis.

PREREQUISITES
  • Understanding of basic physics concepts, including power and frequency.
  • Familiarity with units of measurement, specifically watts and hertz.
  • Knowledge of dimensional analysis in physics.
  • Basic principles of photon behavior and electromagnetic radiation.
NEXT STEPS
  • Research the relationship between power and frequency in electromagnetic waves.
  • Explore the concept of dimensional analysis in greater detail.
  • Learn about the propagation of photons and factors affecting their travel distance.
  • Investigate the implications of combining different physical units in calculations.
USEFUL FOR

Students and professionals in physics, engineers working with electromagnetic systems, and anyone interested in understanding the implications of unit conversions and dimensional analysis in scientific calculations.

iphilosopher
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Change the forum if this is in the wrong place but I was doing some math (multiplying hertz and watts) and I came with 4.8912 × 10^12 m^2 kg / s^4, I don't know what unit that is, so can anybody tell me if there even is one?
 
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there is no known physical quantity with those dimensions.
 
iphilosopher said:
Change the forum if this is in the wrong place but I was doing some math (multiplying hertz and watts) and I came with 4.8912 × 10^12 m^2 kg / s^4, I don't know what unit that is, so can anybody tell me if there even is one?

Watt = Joule/s = kg*m^2*s^{-3}

Hertz = s^{-1}

So your units are correct. Basically it's Joules per s^2, or Watts per second.

But as pointed out, it is unusual to multiply power and frequency. What was the calculation for?
 
I meant to divide hertz and watts and I would get 2 122.91667 m^-2 * kg^-1 * s^2 so now I think my question truly is what is that unit
 
As asked, what are you trying to accomplish? It almost seems like you are doing blind math, hoping to stumble on something interesting.
 
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I was trying to find how far one photon can go like with a radio transmitter, how far could one of those photons could go. And now I found I did not have enough information to do these calculations.
 
There's no limit to how far a photon can go. But I'm not sure you can come to a conclusion like that by doing dimensional analysis. Sometimes interesting things can pop out though.
 

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