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  1. Home/
  2. Jayesh Pradhyumna/
  3. Week - 1 - Consistency of Units

Week - 1 - Consistency of Units

AIM: To write the given measurements in the above different system of units and mention the conversion factors. MASS 1kgLENGTH 1mTIME 1sFORCE 1NSTRESS 1PaENERGY 1NmDENSITY 1Kg/m3YOUNG'S Modulus  210GPaVelocity 56.33KMPHGRAVITY 9.8m/s2   CONVERSION TO DIFFERENT UNITS:   SI unit / Measured quanitites…

    • Jayesh Pradhyumna

      updated on 09 Aug 2021

    AIM:

    To write the given measurements in the above different system of units and mention the conversion factors.

    MASS 1kg
    LENGTH 1m
    TIME 1s
    FORCE 1N
    STRESS 1Pa
    ENERGY 1Nm
    DENSITY 1Kg/m3
    YOUNG'S Modulus  210GPa
    Velocity 56.33KMPH
    GRAVITY 9.8m/s2

     

    CONVERSION TO DIFFERENT UNITS:

     

    SI unit / Measured quanitites

    MASS

    1 kg

    LENGTH

    1 m

    TIME

    1 sec

    FORCE

    1 N

    STRESS

    1 Pa

    ENERGY   1 J

    DENSITY

    1 kg/m3

    YOUNG'S Modulus

    210 GPa

    Velocity

    56.33 kmph

    GRAVITY

    9.8 m/s2

    Kg cm ms

    x 1

    x 100

    x 10^3

    x 10^-4

    x 10^-8

    x 10^-2

    x 10^-6

    x 10 x 210

    x 1 / 36 x 56.33

    x 10^-4

    Kg cm s

    x 1

    x 100

    x1

    x 10^2

    x 10^-2

    x 10^4

    x 10^-6

    x 10^7 x 210

    x 10^3/36 x 56.33

    x 10^2

    g mm ms 

    x 10^3

    x 10^3

    x 10^3

    x 10^3

    x 10^-3

    x 10^6

    x 10^-6

    x 10^6 x 210

    x 10/36 x 56.33

    x 10^-3

    kg m s

    x 1

    x 1

    x 1

    x1 kgm/s2

    x 1 N/m2

    x 1 Nm

    x 1

    x 10^9 x 210 N/m2

    x 10/36 x 56.33

    x 1

    g cm s 

    x 10^3

    x 100

    x1

    x 10^5

    x 10

    x 10^7

    x 10^-3

    x 10^10 x 210

    x 10^3/36 x 56.33

    x 100

    g cm us 

    x 10^3

    x 100

    x 10^6

    x 10^-7

    x 10 ^-11

    x 10^-5

    x 10^-3

    x 10^-2 x 210

    x 1/36000 x 56.33

    x 10^-10

    g mm s 

    x 10^3

    x 10^3

    x1

    x 10^6

    x 1

    x 10^9

    x 10^-6

    x 10^12 x 210

    x 10^4/36 x 56.33

    x 10^3

    ton mm s

    x 0.001

    x 10^3

    x1

    x 1

    x   10^-6

    x 10^3

    x 10^-12

    x 10^3 x 210

    x 10^4/36 x 56.33

    x 10^3

    slug ft. s

    x 0.068

    x 3.28

    x 1

    x 0.22

    x 0.0205

    x 7216

    x 19

     x 205x 10^5 x 210

    x 0.911  x 56.33

     x 3.28

    kg mm s 

    x1

    x 10^3

    x1

    x 10^3

    x   10^-3

    x 10^6

    x 10^-9

    x 10^6 x 210

    x 10^3/36 x 56.33

    x 10^3

    g cm ms

    x 10^3

    x 100

    x 10^3

    x 0.1

    x   10^3

    x 10

    x 10^-3

    x 10^12 x 210

    x 1 / 36 x 56.33

    x 10^-4

    kg mm ms

    x1

    x 10^3

    x 10^3

    x    10^-3

    x   10^-9

    x 1

    x 10^-9

    x 1 x 210

    x 10/36 x 56.33

    x 10^-4

     

    Kg cm ms:  

    • MASS - Conversion factor - x 1

    • LENGTH - Conversion factor - x 100

    • TIME - Conversion factor - x 10^3

    • FORCE - Conversion factor - x 10^-4

    • STRESS - Conversion factor - x 10^-8

    • ENERGY - Conversion factor - x 10^-2

    • DENSITY - Conversion factor - x 10^-6

    • YOUNG'S Modulus - Conversion factor - x 10

    • Velocity - Conversion factor - x 1/36

    • GRAVITY - Conversion factor - x 10^-4

     

    Kg cm s:

    • MASS - Conversion factor - x 1

    • LENGTH - Conversion factor - x 100

    • TIME - Conversion factor - x 1

    • FORCE - Conversion factor - x 100

    • STRESS - Conversion factor - x 10^-2

    • ENERGY - Conversion factor - x 10^4

    • DENSITY - Conversion factor - x 10^-6

    • YOUNG'S Modulus - Conversion factor - x 10^7

    • Velocity - Conversion factor - x 1000/36

    • GRAVITY - Conversion factor - x 100

     

    g mm ms:

    • Conversion of 1 kg Mass to g:            kg -> g =  x 1000 = x 10^3 g
    • Conversion of 1 m Length to mm:      m -> mm = x 1000 = x 10^3 mm
    • Conversion of 1 s Time to ms:            s -> ms =  x 1000 = x 10^3 ms
    • Conversion of 1 N Force to gmm/ms2:

    kg -> g =  x 1000 = x 10^3

    m -> mm = x 1000 = x 10^3

    s -> ms =  x 1000 = x 10^3

    Therefore, (10^3 x 10^3)/10^3 = x 10^3 gmm/ms2

    Conversion factor - x 10^3

    • Conversion of 1 Pa Stress to g/mm ms2:

    1 Pa = 1 N/m2

    From above conversion, 1 N = 10^3 kgmm/ms2

    m -> mm = x 1000 = x 10^3

    Therefore, 10^3 / (10^3 x 10^3) = x 10^-3 g/mm ms2

    Conversion factor - x 10^-3

    • Conversion of 1 J Energy to gmm2/ms2:

    1 J = 1 Nm

    From above conversion, 1 N = 10^3 kgmm/ms2

    m -> mm = x 1000 = x 10^3

    Therefore, 10^3 x 10^3 = x 10^6 gmm2/ms2

    Conversion factor - x 10^6

    • Conversion of 1 kg/m3 Density to g/mm3:

    kg -> g =  x 1000 = x 10^3

    m -> mm = x 1000 = x 10^3

    Therefore, 10^3 / (10^3 x 10^3 x 10^3) = x 10^-6 g/mm3

    Conversion factor - x 10^-6

    • Conversion of 210 GPa Young's modulus to g/mm ms2:

    GPa = x 10^9 Pa

    From above conversion, 1 Pa =  10^-3 kgmm/ms2

    Therefore, 10^9 x 10^-3 = x 10^6 g/mm ms2

    Conversion factor - x 10^6

    • Conversion of 56.33 kmph Velocity to mm/ms:

    km -> m = x 1000 = x 10^3,   m -> mm = x 1000 = x 10^3,   km -> mm = x 1000 = x 10^6

    h -> min =  x 60,    min -> s =  x 60,   h -> s =  x 60 x 60 = x 3600,   s -> ms =  x 1000 = x 10^3

    Therefore, 10^6 / (3600 x 10^3) = x 10/36 mm/ms

    Conversion factor - x 10/36

    •  Conversion of 9.8 m/s2 Gravity to mm/ms2:

    m -> mm = x 1000 = x 10^3

    s -> ms =  x 1000 = x 10^3

    Therefore, 10^3 / (10^3 x 10^3) = x 10^-3 mm/ms2

    Conversion factor - x 10^-3

     

    kg m s:

    • MASS - Conversion factor - x 1

    • LENGTH - Conversion factor - x 1

    • TIME - Conversion factor - x 1

    • FORCE - Conversion factor - x 1

    • STRESS - Conversion factor - x 1

    • ENERGY - Conversion factor - x 1

    • DENSITY - Conversion factor - x 1

    • YOUNG'S Modulus - Conversion factor - x 10^9

    • Velocity - Conversion factor - x 10/36

    • GRAVITY - Conversion factor - x 1

     

    g cm s:

    • MASS - Conversion factor - x 10^3

    • LENGTH - Conversion factor - x 100

    • TIME - Conversion factor - x 1

    • FORCE - Conversion factor - x 10^5

    • STRESS - Conversion factor - x 10

    • ENERGY - Conversion factor - x 10^7

    • DENSITY - Conversion factor - x 10^-3

    • YOUNG'S Modulus - Conversion factor - x 10^10

    • Velocity - Conversion factor - x 1000/36

    • GRAVITY - Conversion factor - x 100

     

    g cm us:

    • MASS - Conversion factor - x 10^3

    • LENGTH - Conversion factor - x 100

    • TIME - Conversion factor - x 10^6

    • FORCE - Conversion factor - x 10^-7

    • STRESS - Conversion factor - x 10^10

    • ENERGY - Conversion factor - x 10^-11

    • DENSITY - Conversion factor - x 10^-5

    • YOUNG'S Modulus - Conversion factor - x 10^-3

    • Velocity - Conversion factor - x 1/36000

    • GRAVITY - Conversion factor - x 10^-10

     

    g mm s:

    • MASS - Conversion factor - x 10^3

    • LENGTH - Conversion factor - x 10^3

    • TIME - Conversion factor - x 1

    • FORCE - Conversion factor - x 10^6

    • STRESS - Conversion factor - x 1

    • ENERGY - Conversion factor - x 10^9

    • DENSITY - Conversion factor - x 10^-6

    • YOUNG'S Modulus - Conversion factor - x 10^12

    • Velocity - Conversion factor - x 10^4 / 36

    • GRAVITY - Conversion factor - x 10^3

     

    ton mm s:

    • MASS - Conversion factor - x 0.001

    • LENGTH - Conversion factor - x 10^3

    • TIME - Conversion factor - x 1

    • FORCE - Conversion factor - x 1

    • STRESS - Conversion factor - x 10^-6

    • ENERGY - Conversion factor - x 10^3

    • DENSITY - Conversion factor - x 10^-12

    • YOUNG'S Modulus - Conversion factor - x 10^3

    • Velocity - Conversion factor - x 10^4 / 36 

    • GRAVITY - Conversion factor - x 10^3

     

    slug ft. s:

    • MASS - Conversion factor - x 0.068

    • LENGTH - Conversion factor - x 3.28

    • TIME - Conversion factor - x 1

    • FORCE - Conversion factor - x 0.22

    • STRESS - Conversion factor - x 0.0205

    • ENERGY - Conversion factor - x 7216

    • DENSITY - Conversion factor - x 19

    • YOUNG'S Modulus - Conversion factor - x 205 x 10^5

    • Velocity - Conversion factor - x 0.911

    • GRAVITY - Conversion factor - x 3.28

     

    kg mm s:

    • MASS - Conversion factor - x 1

    • LENGTH - Conversion factor - x 10^3

    • TIME - Conversion factor - x 1

    • FORCE - Conversion factor - x 10^3

    • STRESS - Conversion factor - x 10^-3

    • ENERGY - Conversion factor - x 10^6

    • DENSITY - Conversion factor - x 10^-9

    • YOUNG'S Modulus - Conversion factor - x 10^6

    • Velocity - Conversion factor - x 10^3 / 36

    • GRAVITY - Conversion factor - x 10^3

     

    g cm ms:

    • MASS - Conversion factor - x 10^3

    • LENGTH - Conversion factor - x 100

    • TIME - Conversion factor - x 10^3

    • FORCE - Conversion factor - x 10^3

    • STRESS - Conversion factor - x 0.1

    • ENERGY - Conversion factor - x 10^3

    • DENSITY - Conversion factor - x 10

    • YOUNG'S Modulus - Conversion factor - x 10^-3

    • Velocity - Conversion factor - x 1/36

    • GRAVITY - Conversion factor - x 10^-4

     

    kg mm ms:

    • MASS - Conversion factor - x 1

    • LENGTH - Conversion factor - x 10^3

    • TIME - Conversion factor - x 10^3

    • FORCE - Conversion factor - x 10^-3

    • STRESS - Conversion factor - x 10^-9

    • ENERGY - Conversion factor - x 1

    • DENSITY - Conversion factor - x 10^-9

    • YOUNG'S Modulus - Conversion factor - x 1

    • Velocity - Conversion factor - x 10/36

    • GRAVITY - Conversion factor - x 10^-4

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