Challenge

Week - 1 - Consistency of units

Kg cm ms -

MASS - 1kg
LENGTH - 100 cm
TIME - 1000ms 1s = 1000ms
FORCE - (100/1000000)= 1e-04 N 1 N = 1 kg-m/s2
STRESS - (1e-04/ 1e-02) = 1e-02 Pa 1 Pa = 1 N/mm2
ENERGY - (1e-04*100) = 1e-02 Ncm
DENSITY - (1/1000000) = 1e-06 Kg/cm3
YOUNG'S Modulus - (210*1e-02) = 2.1 GPa
Velocity - (56.33*1000*100/60*60*1000) = 1.564 cm/ms
GRAVITY (9.8*100/1000000) = 9.8e-04 cm/ms2

Kg cm s

MASS - 1kg
LENGTH - 100 cm
TIME - 1s
FORCE - (100/1)= 1e02 N 1 N = 1 kg-m/s2
STRESS - (1e02/ 1e-02) = 1e04 Pa 1 Pa = 1 N/mm2
ENERGY - (1e02*100) = 1e04 Ncm
DENSITY - (1/1000000) = 1e-06 Kg/cm3
YOUNG'S Modulus - (210*1e04) = 210e04 GPa
Velocity - (56.33*1000*100/60*60*1) = 1564.72 cm/s
GRAVITY (9.8*100/1) = 980 cm/s2

gm mm ms

MASS - 1000 gm
LENGTH - 1000 mm
TIME - 1000 ms
FORCE - (1000*1000/1000000)= 1N 1 N = 1 kg-m/s2
STRESS - (1/ 1) = 1 Pa 1 Pa = 1 N/mm2
ENERGY - (1*1000) = 1e03 Nmm
DENSITY - (1000/1000000000) = 1e-06 gm/mm3
YOUNG'S Modulus - (210*1) = 210 GPa
Velocity - (56.33*1000*1000/60*60*1000) = 15.64 mm/ms
GRAVITY (9.8*1000*1000/100000) = 9.8 mm/ms2

kg m s

MASS - 1 kg
LENGTH - 1 m
TIME - 1 s
FORCE - 1N 1 N = 1 kg-m/s2
STRESS - 1 Pa 1 Pa = 1 N/mm2
ENERGY - 1 Nm
DENSITY - 1kg/m3
YOUNG'S Modulus - 210 GPa
Velocity - 56.33*1000/60*60 = 15.64 m/s
GRAVITY - 9.8m/s2

g cm s

MASS - 1000 g
LENGTH - 100 cm
TIME - 1 s
FORCE - (1000*100/1)= 1e05 N 1 N = 1 kg-m/s2
STRESS - (1e05/ 1e-02) = 1e07 Pa 1 Pa = 1 N/mm2
ENERGY - (1e05*100) = 1e07 Ncm
DENSITY - (1000/1000000) = 1e-03 gm/cm3
YOUNG'S Modulus - (210*1e07) = 210e07 GPa
Velocity - (56.33*1000*100/60*60) = 1564.72 cm/s
GRAVITY (9.8*100/1) = 980 cm/s2

g cm us

MASS - 1000 g
LENGTH - 100 cm
TIME - 1e-06 us
FORCE - (1000*100/1e-12)= 1e17 N 1 N = 1 kg-m/s2
STRESS - (1e17/ 1e-02) = 1e19 Pa 1 Pa = 1 N/mm2
ENERGY - (1e17*100) = 1e19 Ncm
DENSITY - (1000/1000000) = 1e-03 gm/cm3
YOUNG'S Modulus - (210*1e19) = 210e19 GPa
Velocity - (56.33*1000*100/60*60*1e-6) = 1564.72e-06 cm/us
GRAVITY (9.8*100/1e-12) = 980e-12 cm/us2

g mm s

MASS - 1000 g
LENGTH - 1000 mm
TIME - 1 s
FORCE - (1000*1000/1)= 1e6 N 1 N = 1 kg-m/s2
STRESS - (1e6/1) = 1e6 Pa 1 Pa = 1 N/mm2
ENERGY - (1e6*1000) = 1e9 Nmm
DENSITY - (1000/1000000000) = 1e-06 gm/mm3
YOUNG'S Modulus - (210*1e6) = 210e6 GPa
Velocity - (56.33*1000*1000/60*60*1) = 15647.2 mm/s
GRAVITY (9.8*1000/1) = 9800 mm/s2

ton mm s

MASS - 1e-03 ton
LENGTH - 1000 mm
TIME - 1 s
FORCE - (1e-03*1000/1)= 1 N 1 N = 1 kg-m/s2
STRESS - (1/1) = 1 Pa 1 Pa = 1 N/mm2
ENERGY - (1*1000) = 1e3 Nmm
DENSITY - (1e-03/1000000000) = 1e-12 ton/mm3
YOUNG'S Modulus - (210*1) = 210 GPa
Velocity - (56.33*1000*1000/60*60*1) = 15647.2 mm/s
GRAVITY (9.8*1000/1) = 9800 mm/s2

slug ft s

MASS - 0.0685218 slug
LENGTH - 3.28084 ft
TIME - 1 s
FORCE - (0.685218*3.28/1)= 2.2475 N 1 N = 1 kg-m/s2
STRESS - (2.2475/(3.28e-03*3.28e-03)) = 0.2088e-06 Pa 1 Pa = 1 N/mm2
ENERGY - (2.2475*3.28) = 7.3718 Nft
DENSITY - (0.0685218/3.28^3) = 0.00194 slug/ft3
YOUNG'S Modulus - (210*0.2088e-06) = 43.848e-06 GPa
Velocity - (56.33*1000*3.28/60*60*1) = 51.322 ft/s
GRAVITY - (9.8*3.28/1) = 32.144 ft/s2

kg mm s

MASS - 1kg
LENGTH - 1000 mm
TIME - 1s
FORCE - (1000/1)= 1e03 N 1 N = 1 kg-m/s2
STRESS - (1e03/ 1) = 1e03 Pa 1 Pa = 1 N/mm2
ENERGY - (1e03*1000) = 1e05 Nmm
DENSITY - (1/1000000000) = 1e-09 Kg/mm3
YOUNG'S Modulus - (210*1e03) = 210e03 GPa
Velocity - (56.33*1000*1000/60*60*1) = 15647.2 mm/s
GRAVITY (9.8*1000/1) = 9800 mm/s2

g cm ms

MASS - 1000 gm
LENGTH - 100 cm
TIME - 1000 ms
FORCE - (1000*100/1000000)= 10 N 1 N = 1 kg-m/s2
STRESS - (10/ 1e-02) = 1000 Pa 1 Pa = 1 N/mm2
ENERGY - (10*100) = 1e03 Ncm
DENSITY - (1000/1000000) = 1e-03 gm/cm3
YOUNG'S Modulus - (210*1000) = 210e03 GPa
Velocity - (56.33*1000*100/60*60*1000) = 1.564 cm/ms
GRAVITY (9.8*1000*100/100000) = 98 cm/ms2

kg mm ms

MASS - 1kg
LENGTH - 1000 mm
TIME - 1000 ms
FORCE - (1*1000/1000000)= 1e-03 N 1 N = 1 kg-m/s2
STRESS - (1e-03/ 1) = 1e-03 Pa 1 Pa = 1 N/mm2
ENERGY - (1e-03*1000) = 1 Nmm
DENSITY - (1/1000000000) = 1e-09 Kg/mm3
YOUNG'S Modulus - (210*1e-03) = 210e-03 GPa
Velocity - (56.33*1000*1000/60*60*1000) = 15.6472 mm/ms
GRAVITY (9.8*1000/1000000) = 9.8e-03 mm/s2

given value Kg cm ms Kg cm s gm mm ms

kg m s

g cm s g cm us g mm s ton mm s slug ft s kg mm s g cm ms kg mm ms
MASS 1kg 1 kg 1 kg 1000 gm 1 kg 1000 g 1000 g 1000 g 1e-03 ton 0.0685218 slug 1kg 1000 gm 1 kg
LENGTH 1 m 100 cm 100 cm 1000 mm 1 m 100 cm 100 cm 1000mm 1000 mm 3.28084 ft 1000 mm 100 cm 1000 mm
TIME 1s 1000 ms 1s 1000 ms 1s 1s 1e-06 us 1s 1s 1s 1s 1000 ms 1000 ms
FORCE 1N 1e-04 N 1e02 N 1N 1N 1e05 N 1e17 N 1e6 N 1 N 2.2475 N 1e03 N 10 N 1e-03 N
STRESS 1Pa 1e-02 Pa 1e04 Pa 1 Pa 1 Pa 1e07 Pa 1e19 Pa 1e6 Pa 1 Pa 0.2088e-06 Pa 1e03 Pa 1000 Pa 1e-03 Pa
ENERGY 1Nm 1e-02 Ncm 1e04 Ncm 1e03 Nmm 1 Nm 1e07 Ncm 1e19 Ncm 1e9 Nmm 1e3 Nmm 7.3718 Nft 1e05 Nmm 1e03 Ncm 1Nmm
DENSITY 1Kg/m3 1e-06 Kg/cm3 1e-06 Kg/cm3 1e-06 gm/mm3 1kg/m3 1e-03 gm/cm3 1e-03 gm/cm3 1e-06 gm/mm3 1e-12 ton/mm3 0.00194 slug/ft3 1e-09 Kg/mm3 1e-03 gm/cm3 1e-09 kg/mm3
YOUNG'S Modulus 210GPa 2.1 GPa 210e04 GPa 210 GPa 210 GPa 210e07 GPa 210e19 GPa 210e6 GPa 210 GPa 43.848e-06 GPa 210e03 GPa 210e03 GPa 210e-03 Gpa
Velocity 56.33KMPH 1.564 cm/ms 1564.72 cm/s 15.64 mm/ms 15.64 m/s 1564.72 cm/s 1564.72e-06 cm/us 15647.2 mm/s 15647.2 mm/s 15647.2 ft/s 15647.2 mm/s 1.564 cm/ms 15.6472 mm/ms
GRAVITY

9.8m/s2

9.8e-04 cm/ms2 980 cm/s2 9.8 mm/ms2 9.8 m/s2 980 cm/s2 980e-12 cm/us2 9800 mm/s2 9800 mm/s2 9800 ft/s2 9800 mm/s2 98 cm/ms2 9.8e-03 mm/ms2
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