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Erg per Hour per Square Millimeter [erg/(h·mm²)]


The unit erg per hour per square millimeter, written as erg/(h·mm²), measures energy flux density or power per unit area using the cgs system. An erg is defined as the energy required to move 1 dyne over 1 centimeter, or 1 erg = 10⁻⁷ joules. Dividing by hour and mm² provides the rate of energy transfer per small area over time.


This unit is typically used in laboratory-scale physics, radiation experiments, and surface energy studies where small areas and low energy transfers are involved. Applications include:



  • Measuring radiation incident on tiny surfaces



  • Calorimetry experiments on small samples



  • Micro-scale energy transfer studies in materials science



Heat or energy flux can be expressed mathematically as:


q=EAtq = \frac{E}{A \cdot t}

where q is energy flux in erg/(h·mm²), E is energy in ergs, A is area in mm², and t is time in hours.


Conversion to SI units:


1erg/(h\cdotpmm²)2.78×108W/m²1 \, \text{erg/(h·mm²)} \approx 2.78 \times 10^{-8} \, \text{W/m²}

While largely of historical or specialized use, erg/(h·mm²) provides a convenient cgs-based measure for micro-scale, low-intensity energy transfer in scientific experiments.


Dyne per Hour per Centimeter [dyne/(h·cm)]


The unit dyne per hour per centimeter, written as dyne/(h·cm), measures force per unit length over time, often used in contexts such as viscous drag, material creep, or very slow mechanical processes in cgs (centimeter-gram-second) units.


A dyne is the cgs unit of force, defined as the force required to accelerate 1 gram of mass by 1 cm/s². Therefore, 1 dyne = 10⁻⁵ newtons in SI units. The additional division by centimeter represents a per-unit-length measure, and division by hour accounts for time rate.


Mathematically, the quantity can be expressed as:


Frate=FLtF_\text{rate} = \frac{F}{L \cdot t}

where F is force in dynes, L is length in cm, and t is time in hours.


Applications include:



  • Creep or stress studies in materials under very small forces over long periods



  • Lubrication or viscous flow measurements in cgs-based engineering studies



  • Experimental mechanics where small forces per unit length are measured over extended time



Conversion to SI units:


1dyne/(h\cdotpcm)2.78×109N/(m\cdotps)1 \, \text{dyne/(h·cm)} \approx 2.78 \times 10^{-9} \, \text{N/(m·s)}

This unit is largely of historical or specialized interest but provides a precise cgs-based measure for extremely slow, small-force phenomena.





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