Surface tension Formula
Surface tension is defined as the ratio of the surface force F applied on a liquid to the length d along which the force acts. It is responsible for insects to walk on water, or a paperclip to "float". The equation is given by:
Surface tension = (surface force)/(length force acts)
The equation is
γ = F /d
γ: Surface tension
F: Force applied on the liquid
d: length where the force acts
Surface tension equation Questions:
1) A small piece of metal of 1cm long weights 0.1 N, what is the surface tension?
Answer: The surface tension is calculated using the formula,
γ = F/d
γ = 0.1N/1 cm = 0.1 N/ 0.01 m = 10 N/m.
2) If the surface tension is measured to be 5 N/m, and a small insect of about 1.5 cm long is posed on the water. What is the approximate mass of the insect?
Answer: From the surface tension is found the force, which in this case is the weight:
F = γ d
F = 5 N/m * 1.5 cm = 5 N/m * 0.015 m = 0.075 N
Then the mass of the insect is given by,
M = F/g
Where g = 9.8 m/s2 is the acceleration of gravity.
M = 0.075 N / 9.8 m/s2 = 0.0076 Kg = 7.6 grams