An elastic air balloon having a diameter of 30 cm is attached to the base of a container p...

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. P11–43. If the pressure of the air above the water is gradually increased from 100 kPa to 1.6 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 C is a constant and n = −2. The weight of the balloon and the air in it is negligible.

FIGURE P11–43: