Surface Tension: Calculation & Unit Conversion

[shamstar]

i am doing a physics assignment on the realationship between surface tension and temperature. i have calculated the surface tension at various temperatures using a capillary tube and measuring the height. i was given the formula:
surface tension=(densityxradius of tubeheight of columnxgravity)/ 2
i have calculated the surface tension, however, I am not sure what units it is in. density was measured in g/mm^2, radius and height were measured in mm, gravity was measured in mm/s. I am not sure if the answer will be dyns/cm or ergs/cm^2? or even something else? thankyou

 

[FedEx]

i am doing a physics assignment on the realationship between surface tension and temperature. i have calculated the surface tension at various temperatures using a capillary tube and measuring the height. i was given the formula:
surface tension=(densityxradius of tubeheight of columnxgravity)/ 2
i have calculated the surface tension, however, I am not sure what units it is in. density was measured in g/mm^2, radius and height were measured in mm, gravity was measured in mm/s. I am not sure if the answer will be dyns/cm or ergs/cm^2? or even something else? thankyou

First of all convert all the mm reading to cm. Also measure the density in gms per cm^2 and g as cm/s^2. Now you will get in dynes/cm.

 

[chaoseverlasting]

surface tension=force*length.

$$f=MLT^{-2}$$
Hence surface tension=$$ML^2T^{-2}$$

 

[FedEx]

surface tension=force*length.

$$f=MLT^{-2}$$
Hence surface tension=$$ML^2T^{-2}$$

I think that you have made some mistake. Surface tension is force/length.It is torque which is force*length(radius). So surface tension would be ML^0T^-2

 

[shamstar]

thanyou both so much. let's hope a get an A on my assignment! thanks again