Engine oil that is classified as SAE 5W-30 has a density of 859 kg/mJ and a visc
ID: 1523007 • Letter: E
Question
Engine oil that is classified as SAE 5W-30 has a density of 859 kg/mJ and a viscosity of 6.60 Pa s at a temperature of-30 degree C. The oil is poured through a funnel with a neck that is 10.0 cm long and 1.00 cm in diameter. By continually pouring oil from a jug, the level of the oil is kept at a height of 10.0 cm above the neck of the funnel. (a) Calculate the pressure at the top of the neck of the funnel i.e. Calculate the pressure at a depth of 10.0 cm below the surface of the oil in the funnel. (b) Calculate the volume flow rate of oil through the funnel. How long will it take to pour 1.00 litre of oil through the funnel? Note: Your answer will be surprisingly large! (6.60 Pa-s is a very high viscosity.)Explanation / Answer
a) pressure at top = 859 * 9.8 * 0.1 + 1.013 * 105
= 1.0214 * 105 Pa
b) volume flow rate = 3.14 * 0.0052 * 0.1/10-6
= 7.85 m3/s
c) time taken = 1000/7.85
= 2.12 min
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