Horsepower per Square Foot [hp/ft²]

The unit horsepower per square foot, written as hp/ft², measures power or energy flux density per unit area in the Imperial system. One horsepower (hp) is defined as 745.7 watts, representing the rate of doing work or energy transfer. Dividing by square feet gives the amount of power delivered or absorbed per unit area.

This unit is used in engineering, HVAC, and industrial applications to describe concentrated power distribution. Typical uses include:

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  Power output of engines or motors per area of a platform

  
  
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  Mechanical energy flux in manufacturing equipment

  
  
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  Evaluation of energy delivery systems on surfaces or panels

  
  

Mathematically, power flux can be expressed as:

where q is power per unit area (hp/ft²), P is power in horsepower, and A is area in ft².

Conversion to SI units:

Although W/m² is the SI standard, hp/ft² is convenient in U.S.-based applications and historical literature, providing an intuitive measure of high power density over a surface in familiar Imperial units.

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:

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

Applications include:

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

  
  
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  Lubrication or viscous flow measurements in cgs-based engineering studies

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

  
  

Conversion to SI units:

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