Week - 1 - Consistency of Units

gm/mm/ms

MASS 1kg= 1000g
LENGTH 1m= 1000mm
TIME 1s= 1000ms
FORCE 1N =1N
STRESS 1Pa= 1e-6MPa

1N/m2=1N/(mm)2=1/(1000)2=1e−6MPa

ENERGY 1Nm= 1000Nmm

1Nm = 1Nmm = 1000 Nmm

DENSITY 1Kg/m3 = 1e-6 g/mm3

1Kg/m3 = 1(1000)/(1000)3 g/mm3 = 1/(1000)2 = 1e-6 g/mm3

YOUNG'S Modulus 210GPa = 210e3 N/mm2

210GPa = 210e9 Pa

210e9 x 1N/(1000)2 N/mm2

210e3 N/mm2

Velocity 56.33KMPH = 15.55 mm/ms

56.33 KM/hr = 56.33 (1000 x 1000) / (3600 x 1000)

15.55 mm/ms

GRAVITY 9.8m/s2 = 9.8e-3

9.8 (1000/(1000)2) = 9.8/1000 = 9.8e-3

Unit	mass	Length	Time	Force	Stress	Energy(Nm)	Density	Young's Modulus	Velocity	Gravity
kg-cm-ms	kg	100	1000	1N		100Ncm	1e-3	2.1e7	1.56cm/s	9.8e-4
kg-cm-s	kg	100	s	1e-2 N		1	1e-3	2.1e5	1.56e3 cm/s	980
kg m s	kg	m	s	1N		1	1e3	2.1e11	15.65 m/s	9.8
g cm s	1000	100	s	(1e5) dyne	dyne/cm2	1e7dyne-cm	1	2.1e14	1.56e3 cm/s	980
g cm us	1000	100	1e6	1e-7 N		1e9 N-cm	1		1.56e-3 cm/us	9.8e-10
g mm s	1000	1000	s	1e-6 N	1e-6 N	1e-3N-cm	1e-3		1.56e4 mm/s	9.8e3
ton mm s	1e-3	1000	s	1N	N	1000 N-mm	1e-9	210GPA	1.56e4 mm/s	9.8e3
slug ft s	0.06	3.28	s	0.22 Lbf	Psf	lbf-ft	0.01	3.104e7	51.33 ft/s	32.17 ft/s2
kg mm s	kg	1000	s	1e-3N	1e-3 Pa	1	1e-6	2.1e8	1.56e4 mm/s	9.8e3
g cm ms	1000	100	1000	10N	1e-3 Pa	1000 N-cm	0.1	2.1e10	4.34e-4 cm/ms	9.8e-4
kg mm ms	1000	1000	1000	1000N= 1kN	1e9 N	1e6 N-mm	1e-3	2.1e8	4.34e-3 mm/ms	9.8e-3