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werson tan
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Homework Statement
why the force of bubble is given by the formula of 2(2 pi R ) σs ? why not (2 pi R ) σs + (2 pi R+ ΔR) σs ? Since the radius of th outer circumfernece and inner circumference are the different ?
i have one more question here . I was also told that the pressure at the concave side of the bubbles is higher ... why is it so ? is it because of the circumference of the pressure at the concave side is higher?haruspex said:Because for most purposes the difference is too small to worry about. The thickness of the bubble wall is usually far smaller than the radius of the bubble.
The formula for calculating the force of a bubble is 2(2πR)σs, where 2πR is the circumference of the bubble and σs is the surface tension of the bubble's liquid surface.
The force of a bubble is given by 2(2πR)σs because it takes into account the surface tension, which is the force that holds the surface of a liquid together. The circumference of the bubble is also included in the formula because it affects the amount of surface tension required to maintain the bubble's shape.
The 2(2πR) term in the formula represents the circumference, or distance around the bubble's surface. This term takes into account the size of the bubble, which affects the amount of surface tension needed to maintain its shape.
The surface tension of the liquid directly affects the force of a bubble. The higher the surface tension, the stronger the force holding the bubble's liquid surface together, resulting in a larger force on the bubble.
Yes, the formula 2(2πR)σs can be applied to all types of bubbles, regardless of their size or the type of liquid they are made of. However, it is important to note that the surface tension of different liquids may vary, resulting in different forces for bubbles made of different liquids.