The relation between Newton per meter (N/m) and dyne per centimeter (dyn/cm) involves the conversion factor between the two systems of units.
1 N/m is equivalent to 10^6 dyn/cm. This means that one Newton per meter is equal to one million dynes per centimeter.
To convert from N/m to dyn/cm, you can multiply the value in N/m by 10^6. Conversely, to convert from dyn/cm to N/m, you divide the value in dyn/cm by 10^6.
Here are a few examples to illustrate the conversion:
Example 1: Convert 5 N/m to dyn/cm: 5 N/m * 10^6 dyn/cm/N/m = 5 * 10^6 dyn/cm = 5,000,000 dyn/cm
Example 2: Convert 2 dyn/cm to N/m: 2 dyn/cm / 10^6 N/m/dyn/cm = 2 / 10^6 N/m = 0.000002 N/m
So, N/m and dyn/cm are related by a factor of 10^6.