Experience teaches us that a large balloon takes longer to deflate than a small one of the same kind. But what is the quantitative relation between the deflation time τ and the radius R of a balloon? A simple analysis, depending only upon elementary physics, shows that —a prediction that is surprisingly easy to illustrate with a party balloon, a tape measure, and a smart-phone app.
REFERENCES
1.
The argument in this paragraph is taken from
W. A.
Osborne
, “
The elasticity of rubber balloons and hollow viscera
,” Proc. R. Soc. London
81
(551
), 485
–499
(1909
).2.
L. D.
Landau
and
E. M.
Lifschitz
, Statistical Mechanics
(
Addison Wesley
,
Massachusetts
, 1969
), p. 461
. Also see <https://en.wikipedia.org/wiki/YoungLaplace_equation>.3.
D. R.
Merritt
and
F.
Weinhaus
, “
The pressure curve for a rubber balloon
,” Am. J. Phys.
46
(10
), 976
–978
(1978
).4.
Ingo
Muller
and
Henning
Struchtrup
, “
Inflating a rubber balloon
,” Math. Mech. Solids
7
, 569
–577
(2002
).5.
Jeffrey R.
Basford
, “
Law Laplace its relevance to contemporary medicine and rehabilitaiton
,” Arch. Phys. Med. Rehabil.
83
, 1165
–1170
(2002
).6.
J.
Pellicer
,
V.
Garcia-Morales
, and
M. J.
Hernandez
, “
On the demonstration of the Young-Laplace equation in introductory physics courses
,” Phys. Educ.
35
(2
), 126
–129
(2000
).7.
Irving P.
Herman
, Physics of the Human Body
(
Springer
,
New York
, 2016
), p. 491
.8.
Michelle
Ramsay
, Clinical Respiratory Medicine
, 4th ed. (
Saunders
,
Pennsylvania
, 2012
).9.
Trevor C.
Lipscombe
and
Carl E.
Mungan
, “
Breathtaking physics, human respiration as a heat pump
,” Phys. Teach.
58
, 150
–151
(2020
).10.
Julien
Vandermarlière
, “
On the inflation of a rubber balloon
,” Phys. Teach.
54
, 566
–567
(2016
).11.
12.
See the webpage <https://www.bubblexl.com/english/big-round-balloon-240-cm-8-blue.htm>.
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