To convert SI units into CGS (centimeter-gram-second) units for various physical quantities, you need to know the conversion factors for each type of measurement. Below is a summary of common conversions for area, volume, speed, acceleration, force, pressure, work done, momentum, torque, impulse, stress, strain, coefficient of viscosity, surface tension, density, frequency, charge, electric potential, surface energy, angular velocity, and electric power.
Area
1 square meter (m²) = 10,000 square centimeters (cm²)
Volume
1 cubic meter (m³) = 1,000,000 cubic centimeters (cm³)
Speed
1 meter per second (m/s) = 100 centimeters per second (cm/s)
Acceleration
1 meter per second squared (m/s²) = 100 centimeters per second squared (cm/s²)
Force
1 newton (N) = 100,000 dyne
Pressure
1 pascal (Pa) = 10 dyne/cm²
Work Done
1 joule (J) = 10^7 ergs
Momentum
1 kilogram meter per second (kg·m/s) = 10^5 gram centimeters per second (g·cm/s)
Torque
1 newton meter (N·m) = 10^7 dyne·cm
Impulse
1 newton second (N·s) = 10^5 gram centimeters per second (g·cm/s)
Stress
1 pascal (Pa) = 10 dyne/cm²
Strain
Strain is dimensionless and remains the same in both systems.
Coefficient of Viscosity
1 pascal second (Pa·s) = 10 poise
Surface Tension
1 newton per meter (N/m) = 10^3 dyne/cm
Density
1 kilogram per cubic meter (kg/m³) = 0.001 gram per cubic centimeter (g/cm³)
Frequency
1 hertz (Hz) = 1 cycle per second (s⁻¹), remains the same in both systems.
Charge
1 coulomb (C) = 10^9 statcoulombs
Electric Potential
1 volt (V) = 10^8 statvolts
Surface Energy
1 joule per square meter (J/m²) = 10^7 erg/cm²
Angular Velocity
1 radian per second (rad/s) = 57.2958 degrees per second (°/s)
Electric Power
1 watt (W) = 10^7 ergs per second (erg/s)
These conversions are essential for understanding and working with different measurement systems in physics and engineering. Always ensure to double-check your calculations for accuracy.