Voller’s Questions Answer all questions Answer (including all work) on question sheet All questions are equally weighted and make up ½ of the total points of the Quiz Mid Semester Quiz 1, February 22, 2006 Formula sheet Unless stated otherwise assume a temperature of T = 10 o C

1. A hollow sphere is floats at an OIL (S =0.8) WATER interface. If the sphere has a volume 0.5m 3 and half its volume is below the interface, determine the weight of the sphere

2. The inside of a glass capillary tube (radius 1mm) is treated with a polymer coating that increases its contact angle by 45 o. If this tube is placed in a container of water open to the atmosphere—How high will the water rise in the tube. h

h = 0.5m Q3. Water exits into the atmosphere, through a small hole, from a large, closed, PRESSURIZED tank. Given that the pressure of the air in the tank is fixed at p = 10 kPa (gauge) and that the height of water in the tank is maintained at 0.5m determine the velocity of the water at the exit. A B Bernoulli between A and B – Velocity at A is zero, pressure is 10,000 Pa

4. A cubic tank (with sides of 1m) is filled with a a 0.5 m layer of oil (S =0.8) laying on top of a 0.5 m layer of water. What is the net pressure force acting on A vertical side of the tank? 1m 0.5m