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3 years ago

15

Under the right conditions, it is possible, due to surface tension, to have metal objects float on water. Consider placing a sho

rt length of a small diameter steel (sp. wt.=500 lb/ft3) rod on a surface of water. What is the maximum diameter, Dmax⁡, that the rod can have before it will sink? Assume that the surface tension forces act vertically upward. Note: A standard paper clip has a diameter of 0.036 in. Partially unfold a paper clip and see if you can get it to float on water. Do the results of this experiment support your analysis?

1 answer:

stiv31 [10]3 years ago

4 0

Answer:

D = 0.060732 in

Explanation:

given data

sp. wt. = 500 lb/ft³

diameter = 0.036 in

solution

we get here maximum diameter of rod that is express as

D = $\sqrt{\frac{8 \sigma }{\pi y}}$ ......................1

here $\sigma$ surface tension of water at 60⁰f = 5.03 × $10^{-3}$ lb/ft and y = 500 lb/ft³

so put here value and we will get

D = $\sqrt{\frac{8 \times 5.03 \times 10^{-3} }{\pi \times 500}}$

D = 0.005061 ft

D = 0.060732 in

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