Consider the system as shown in the following slide, assume the counterweight is

Question

Consider the system as shown in the following slide, assume the counterweight is balancing exactly the weight of the circular arc block when there is no water and know weight W. With the following dimensions of the device: R = 25cm, Y = 10 cm, b = 10 cm, and L = 30 cm, calculate the weight W that balance the hydrostatic force on the vertical surface of the immersed block for the following cases: h = 20 cm, the case where h is larger than Y (the fully immersed surface) h = 5 cm, the case where h is smaller than Y (the partially immersed surface) Assume water at ambient conditions.

Explanation / Answer

a)   weight W = 1000 * (3.14 * 0.252 * 0.20)

                     = 39.25 kg

b)   weight W = 1000 * (3.14 * 0.252 * 0.05)

                     = 9.8125 kg

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