The two 60-cm-diameter cylinders in Figure P13.15 , closed

Chapter 15, Problem 32P

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QUESTION:

The two \(60-cm\)-diameter cylinders in Figure P15.32, closed at one end, open at the other, are joined to form a single cylinder, then the air inside is removed. a. How much force does the atmosphere exert on the flat end of each cylinder? b. Suppose one cylinder is bolted to a sturdy ceiling. How many \(100\ kg\) football players would need to hang from the lower cylinder to pull the two cylinders apart?

Equation Transcription:

Text Transcription:

60-cm

100 kg

Questions & Answers

QUESTION:

The two \(60-cm\)-diameter cylinders in Figure P15.32, closed at one end, open at the other, are joined to form a single cylinder, then the air inside is removed. a. How much force does the atmosphere exert on the flat end of each cylinder? b. Suppose one cylinder is bolted to a sturdy ceiling. How many \(100\ kg\) football players would need to hang from the lower cylinder to pull the two cylinders apart?

Equation Transcription:

Text Transcription:

60-cm

100 kg

ANSWER:

Step 1 of 3

Part (a)

Our aim is to find the force exerted on the flat end of the flat surface of the cylinder.

The diameter of the cylinder \(\mathrm{d}=60 \mathrm{~cm}\)

The radius of the cylinder \(\mathrm{r}=0.30 \mathrm{~m}\)

The acceleration due to gravity \(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{2}\)

The atmospheric pressure \(\mathrm{p}_{0}=101.3 \mathrm{kPa}=101.3 \times 10^{3} \mathrm{~Pa}\)

 

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