Pr3. There are three cylindrical vases on the table, none of them is taller than 40 cm. The first vase can be filled with 2 dl of water, the second one with 3 dl, and the third with more than 6 dl water. The area of the cross section of the first vase is 10 cm², the area of the cross section of the other two vases is 20 cm². There is the same amount (volume) of water in each vase. It can be observed that if a specific tuning fork is placed just above the vases, its sound is getting louder. The width of the bottom of each vase is 1 cm, the speed of sound in air is 340 m/s, and the frequency of the tuning fork is less than 1 kHz. a) What is the volume of water in the vases? b) What is the frequency of the tuning fork? c) What is the height of the third vase?

University Physics Volume 1
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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...
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Pr3. There are three cylindrical vases on the
table, none of them is taller than 40 cm. The first
vase can be filled with 2 dl of water, the second
one with 3 dl, and the third with more than 6 dl
water. The area of the cross section of the first
vase is 10 cm?, the area of the cross section of
the other two vases is 20 cm?. There is the same
amount (volume) of water in each vase. It can be
observed that if a specific tuning fork is placed
just above the vases, its sound is getting louder.
The width of the bottom of each vase is 1 cm,
the speed of sound in air is 340 m/s, and the
frequency of the tuning fork is less than 1 kHz.
a) What is the volume of water in the vases?
b) What is the frequency of the tuning fork?
c) What is the height of the third vase?
Transcribed Image Text:Pr3. There are three cylindrical vases on the table, none of them is taller than 40 cm. The first vase can be filled with 2 dl of water, the second one with 3 dl, and the third with more than 6 dl water. The area of the cross section of the first vase is 10 cm?, the area of the cross section of the other two vases is 20 cm?. There is the same amount (volume) of water in each vase. It can be observed that if a specific tuning fork is placed just above the vases, its sound is getting louder. The width of the bottom of each vase is 1 cm, the speed of sound in air is 340 m/s, and the frequency of the tuning fork is less than 1 kHz. a) What is the volume of water in the vases? b) What is the frequency of the tuning fork? c) What is the height of the third vase?
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