How to convert the S I unit of Pressure and the C G S unit of Pressure?

Solution :

S I unit of Pressure is Pascal ( Pa ) = N/m² = ( kg m /s² ) / m² = kg m^-1s^-2

C G S unit of Pressure = Dyne/ cm² = ( g cm /s² ) / cm² = g cm^-1s^-2

Method 1

1N = 10⁵ dyne , 1m = 10² cm , ( 1m )² = ( 10² cm )² = 10⁴ cm²

1N /m² = 10⁵ dyne /10⁴ cm² = 10^5-4 dyn / cm² = 10¹ dyn / cm²

1N /m² = 10 dyn / cm²

Method 2

1 kg = 10³ g , 1m = 10² cm , ( 1m )² = ( 10² cm )² = 10⁴ cm²

1 ( kg m /s² ) / m² = 1 x (10³ g x 10² cm) /10⁴ cm² = 1 x (10³⁺² g cm) /10⁴ cm² = 1 x (10⁵ g cm) /10⁴ cm²

= 10^5-4 g cm) / cm² = 10 g cm^-1s^-2

1 kg m^-1s^-2 = 10 g cm^-1s^-2

1N /m² = 10 dyn / cm²