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Question 6 a. If the contact angle of a liquid with its container walls is 90°...

Question 6

a. If the contact angle of a liquid with its container walls is 90° what can we say about the different forces involved and what are those forces? Include a discussion of the meniscus in this case. [3 marks]

b. Explain why the pressure inside a bubble is larger than the pressure surrounding the bubble. [2 marks]
c. At the top of a ski lift a 1 tonne concrete block counterweight is supported by a 10 m long steel cable (of 16 mm diameter when not under stress). You must include the mass of the cable when answering the following questions. The density of steel is 8000 kg m-3, the tensile strength of steel is 5.0 x 108 Pa, the Elastic Modulus of steel is 2.1 x 1011 Pa and Poisson’s ratio for steel is 0.28.
i. What is the safety factor of the system? Comment on your answer. [6 marks]
ii. What is the change in diameter of the cable when supporting the counterweight? [3 marks]
iii. What energy is stored in the cable when supporting the counterweight? [2 marks]
iv. Calculate the Bulk and Shear moduli of steel. [4 marks]

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