An elastic air balloon having a diameter of 30 cm is attached to the base of a container partially filled with water at +4 as shown in Fig. P3–162. If the pressure of air above water is gradually increased from 100 kPa to 1.6 MPa, will the fore on the cable change? If so, what is the percent change in the force? Assume the pressure on the free surface and the diameter of the balloon are related by P = CDn,where Cis a constant and n =-2 The weight of the balloon and the

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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An elastic air balloon having a diameter of 30 cm is attached to the base of a container partially filled with water at +4°C,
as shown in Fig. P3-162. If the pressure of air above water is gradually increased from 100 kPa to 16 MPa, will the force
on the cable change? If so, what is the percent change in the force? Assume the pressure on the free surface and the
diameter of the balloon are related by P = CDn,where Cis a constant and n = -2. The weight of the balloon and the
P, = 100 kPa
20 cmi
D, = 30 cm
50 cm :
Water
50 cm
FIGURE P3-162
Transcribed Image Text:An elastic air balloon having a diameter of 30 cm is attached to the base of a container partially filled with water at +4°C, as shown in Fig. P3-162. If the pressure of air above water is gradually increased from 100 kPa to 16 MPa, will the force on the cable change? If so, what is the percent change in the force? Assume the pressure on the free surface and the diameter of the balloon are related by P = CDn,where Cis a constant and n = -2. The weight of the balloon and the P, = 100 kPa 20 cmi D, = 30 cm 50 cm : Water 50 cm FIGURE P3-162
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