PHYSICS 3B Study Guide - Midterm Guide: Volumetric Flow Rate, Ideal Gas, Heat Capacity
23 Nov 2015
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Fluids (8 pts: a 70. 0 kg oceanographic experiment housed in a 10. 0 liter container is to be deployed in seawater (specific gravity 1. 03). The module will be suspended by a lightweight cable from a spherical balloon on the surface which is filled with air (see figure). You may treat air as having negligible density. (4 pts) The apparatus will (barely) float if its average density is equal to the density of seawater. = m/(vbox + vballoon) = seawater = 1. 03 water = 1. 03 kg/ where m = 70. 0 kg, vbox = 10. 0 . Vballoon = (70. 0 kg)/(1. 03 kg/ ) 10. 0 = 57. 96 = 57. 96 10-3 m3. Since the balloon is spherical, vballoon = 4/3 (d/2)3 = 57. 96 10-3 m3 d = 0. 480 m (the problem can also be done by equating the buoyant forces to the weight of the apparatus; then: As the stream of water falls, its diameter decreases.
