So. Question 56 asks us water flows at a rate of 3.11 kilograms per second through a hose with a diameter 3.22 sentences. What is the speed of water homes? So we remember a rate of mass flair. It's simply equals the density of the fluid flowing multiplied by the area through which it flows and the velocity of a cheap clothes. The first question is what the velocity. Therefore we take our rate of flow. Rates of master divide that our identity on the area through which the liquid flows. So it's simply a matter of choosing those values. Question say is 3.1 direct master be going What more kilograms? A second and also the density of water. Very straightforward. Valued 1000 kilograms permits you. It's something that used often, and now we need the area, which is pi r squared. So if the house has a diameter a 3.22 centerpieces, having that is 1.61 sentences. So we put one quite 61 times, 10 to the minus two, remembering that we converted to meet us if you would stand it. Measurements on we square that. So we put all of that in. So I calculated. And from that we get an answer. 3.82 needs his per second. Great. So the second part of the question that asks if the hoses attached to another with a diameter of no 0.732 acceptances, what is the speed of water in the nozzle? We got to another page here and would just remember our continuity equation that the area of one tube on the multiplied by the velocity of flow in that too the product is the same on the other side. This product remains constant to the area in the second to the velocity in the second to most, but together mystical the area the first student of lost first to hold together. So we re arranged for the lost in the 2nd 2 get me one a one a two. And now, once again, he writes out these areas I'm most like Why do you want was the pies cancer from the top? And we have a ratio of radio I squared, which means that we could use the ratio off the radio and square that that also means we can use the ratio of the diameter squared, which does make things a little easier for us as well. We don't have to have things that I calculated before. So the speed in the two 3.82 which we've just determine his reward well. Multiply that by the diameter, the 1st 2 divided by the jams there a second not forgetting after we've done this square because our units cancel within the brackets we were getting on. So three 73 0.9 needs his pa's second still not faster. And then, finally, part see of this question say it is the number of kilograms per second floor it to the nose of greater that less than equal to 3.14 kilograms per second. And explain now, really, we should just consider this somewhat common sense. There's any amount of fluid that passes through the hose in the given time, must also pass through the nozzle in the same amount of time, so the same amount must be flowing through the onset is that it has to be the same, and that's because water is in compressor. If water could be compressed into a smaller volume, then a great a mess could flow in the same time. But that's not the case for Annan Compressible fluid. We've certainly not taking into account. The world can't be compressed some of the second simplicity on and it's true to physics. The as water is compressible is in compressing, so it's not compressible, I should say the number of kilograms per second flying. See the nozzle is equal to three point won't want kilograms a second.