Show that this expression is consistent with y being measured in Nm. It can be shown that is also equal to the energy stored per umit area in the surface. Show that this is also consistent with 7 being measured in Nm. Describe a method for measuring'; which is başed on measuring the excess pressure in a bubble.

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter11: Fluid Statics
Section: Chapter Questions
Problem 61PE: If the gauge pressure inside a rubber balloon with a 10.0-cm radius is 1.50 cm of water, what is the...
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Answer a & b

B32 The pressure difference p across a spherical
surface of radius r between air and a liquid,
where y is the surface tension of the liquid, is
given by
2y
Transcribed Image Text:B32 The pressure difference p across a spherical surface of radius r between air and a liquid, where y is the surface tension of the liquid, is given by 2y
(a) Show that this expression is consistent
with y being measured in Nm. It can be
shown that is also equal to the energy
stored per umit area in the surface. Show
that this is also consistent with y being
measured in N m.
(b) Describe a method for measuring; which
is başed on measuring the excess pressuze
in a bubble.
(c) Using the energy definition of : given
above calculate the energy stored in the
surface of a soap bubble 2.0 cm in radius if
its surface tension is 4.5 x 10-2Nm . If
the thickness of the surface is
6.0 x 10-m and the density of the soap
solution is 1000 kg m-, calculate the
speed with which the liquid fragments
will fly apart when the bubble is burst.
What assumptions have you made in your
calculation?
[L]
Transcribed Image Text:(a) Show that this expression is consistent with y being measured in Nm. It can be shown that is also equal to the energy stored per umit area in the surface. Show that this is also consistent with y being measured in N m. (b) Describe a method for measuring; which is başed on measuring the excess pressuze in a bubble. (c) Using the energy definition of : given above calculate the energy stored in the surface of a soap bubble 2.0 cm in radius if its surface tension is 4.5 x 10-2Nm . If the thickness of the surface is 6.0 x 10-m and the density of the soap solution is 1000 kg m-, calculate the speed with which the liquid fragments will fly apart when the bubble is burst. What assumptions have you made in your calculation? [L]
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