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Chapter 3: More Tools (Dimensional Analysis (Steps to Dimensional…

- - - - Variables! Its what is needed!
    - - Mass
        
        m has dimensions of M
      - Length
        
        l has dimensions of L
      - Time/Period
        
        has a dimension of T
      - Gravity
        
        has dimensions of LT^-2
    - - remember adding exponents can just be letters until answers are needed and exponents are found!
  - - - W=mad
- - - - Mechanical Advantage or Force Advantage
      - Distance advantage is reciprocal of Force advantage
        
        FA= Fout/Fin
        
        DA=Fin/Fout
  - - - e%=100(Wout/Win)
  - - - Geometrically similar bodies, volume is proportional to the cube of any consistent length
      - volume is proportional to the cube of human height
      - humans roughly have the same density of 1000 kg/m^3
        
        mass over density for volume: CI=m/ph^3
        
        women have a lower CI than men (slight)
      - SI Unit Conversions
        
        1 kg = 2.2 pounds
        
        1 meter = 39.37 inches
      - BMI
        
        mass divided by square rather than the cube of the height (not dimensionless)
        
        BMI = m/h^2
      - FISH!
        
        Within species, fish come close to isometry (big and small proportional)
        
        Condition Factor
        
        CF= 100(m/l^3)
  - - - Start with F=ma
      - replace mass by volume (length*cross sectional Surface Area perp to flow (s)) x density
        
        F=pSlv/t
        
        Because l/t = v: F=pSv^2
      - Drag co-efficient D is divided by force F
        
        C(drag)=2D/pSv^2
  - - - Bo-- the reciprocal of gravitational over surface tension forces
        
        Bo=(pl^3)/yl=(pl^2g)/y** (using y as gamma in this case)
    - - Does the amount of surface area in contact decrease this issue ever??
- - - - fur/fat play layers
  - - - regulation of sodium in the cells of animals!!
  - - - extends outward near the surface of every solid over a gas/liquid flows