Since speed (v) is in ft/sec, let's convert our diameters from inches to feet:
1) 5/8in = 0.625in
0.625in × 1ft/12in = 0.0521ft
2) 0.25in × 1ft/12in = 0.021ft
Equation:
![v = 4q \div ( {d}^{2} \pi) \: where \: q = flow \\ v = velocity \: (speed) \: and \: \\ d = diameter \: of \: pipe \: or \: hose \\ and \: \pi = 3.142](https://tex.z-dn.net/?f=v%20%3D%204q%20%5Cdiv%20%28%20%7Bd%7D%5E%7B2%7D%20%5Cpi%29%20%5C%3A%20where%20%5C%3A%20q%20%3D%20flow%20%5C%5C%20v%20%3D%20velocity%20%5C%3A%20%28speed%29%20%5C%3A%20and%20%5C%3A%20%20%5C%5C%20d%20%3D%20diameter%20%5C%3A%20of%20%5C%3A%20pipe%20%5C%3A%20or%20%5C%3A%20hose%20%5C%5C%20and%20%5C%3A%20%5Cpi%20%3D%203.142)
![we \: can \: only \: assume \:that \\ flow \: (q) \:stays \: same \: since \: it \\ isnt \: impeded \: by \: anything \\ thus \:it \: (q)\: stays \: the \: same \: \\ so \: 4q \: can \: be \: removed \: from \: \\ the \: equation](https://tex.z-dn.net/?f=we%20%5C%3A%20can%20%5C%3A%20only%20%5C%3A%20assume%20%5C%3Athat%20%5C%5C%20%20flow%20%5C%3A%20%28q%29%20%5C%3Astays%20%5C%3A%20same%20%5C%3A%20since%20%5C%3A%20it%20%5C%5C%20%20isnt%20%5C%3A%20impeded%20%5C%3A%20by%20%5C%3A%20%20anything%20%5C%5C%20thus%20%5C%3Ait%20%20%5C%3A%20%28q%29%5C%3A%20%20stays%20%5C%3A%20the%20%5C%3A%20same%20%5C%3A%20%20%5C%5C%20so%20%5C%3A%204q%20%5C%3A%20can%20%5C%3A%20be%20%5C%3A%20removed%20%5C%3A%20from%20%5C%3A%20%20%5C%5C%20the%20%5C%3A%20equation)
![then \: we \: can \: assume \: that \: only \\ v \: and \: d \: change \: leading \:us \: to > > \\ (v1 \times {d1}^{2} \pi) = (v2 \times {d2}^{2}\pi)](https://tex.z-dn.net/?f=then%20%5C%3A%20we%20%5C%3A%20can%20%5C%3A%20assume%20%5C%3A%20that%20%5C%3A%20only%20%5C%5C%20v%20%5C%3A%20and%20%5C%3A%20d%20%5C%3A%20change%20%5C%3A%20leading%20%5C%3Aus%20%5C%3A%20to%20%3E%20%20%3E%20%20%5C%5C%20%28v1%20%5Ctimes%20%7Bd1%7D%5E%7B2%7D%20%5Cpi%29%20%3D%20%28v2%20%20%5Ctimes%20%20%20%7Bd2%7D%5E%7B2%7D%5Cpi%29%20)
![both \: \pi \: will \: cancel \: each \: other \: out \: \\ as \: constants \:since \: one \: is \: on \\ each \: side \: of \: the \: =](https://tex.z-dn.net/?f=both%20%5C%3A%20%5Cpi%20%5C%3A%20will%20%5C%3A%20cancel%20%5C%3A%20each%20%5C%3A%20other%20%5C%3A%20out%20%5C%3A%20%20%5C%5C%20as%20%5C%3A%20constants%20%5C%3Asince%20%5C%3A%20one%20%5C%3A%20is%20%5C%3A%20on%20%5C%5C%20each%20%5C%3A%20side%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20%20%3D%20%20%20)
![(v1 \times {d1}^{2}) = (v2 \ \times {d2}^{2}) \\ (7.0 \times {0.052}^{2}) = (v2 \times {0.021}^{2}) \\ divide \: both \: sides \: by \: {0.021}^{2} \\ to \: solve \: for \: v2 > >](https://tex.z-dn.net/?f=%28v1%20%20%5Ctimes%20%20%20%7Bd1%7D%5E%7B2%7D%29%20%3D%20%28v2%20%5C%20%5Ctimes%20%7Bd2%7D%5E%7B2%7D%29%20%5C%5C%20%287.0%20%5Ctimes%20%20%20%7B0.052%7D%5E%7B2%7D%29%20%3D%20%28v2%20%20%5Ctimes%20%20%20%7B0.021%7D%5E%7B2%7D%29%20%5C%5C%20divide%20%5C%3A%20both%20%5C%3A%20sides%20%5C%3A%20by%20%5C%3A%20%20%7B0.021%7D%5E%7B2%7D%20%5C%5C%20to%20%5C%3A%20solve%20%5C%3A%20for%20%5C%3A%20v2%20%3E%20%20%3E%20%20)
![v2 = (7.0)( {0.052}^{2} ) \div ( {0.021}^{2}) \\ v2 = (7.0)(.0027) \div (.00043) \\ v2 = 44 \: feet \: per \: second](https://tex.z-dn.net/?f=v2%20%3D%20%287.0%29%28%20%7B0.052%7D%5E%7B2%7D%20%29%20%5Cdiv%20%28%20%7B0.021%7D%5E%7B2%7D%29%20%20%5C%5C%20v2%20%3D%20%287.0%29%28.0027%29%20%5Cdiv%20%28.00043%29%20%5C%5C%20v2%20%3D%2044%20%5C%3A%20feet%20%5C%3A%20per%20%5C%3A%20second)
new velocity coming out of the hose then is
44 ft/sec
Sea breezes occur during hot, summer days because of the unequal heating rates of land and water. During the day, the land surface heats up faster than the water surface. ... As the warm air over the land is rising, the cooler air over the ocean is flowing over the land surface to replace the rising warm air.
The structure of an atom is in the middle of an atom has the neutron (nucleus) which has no charge around the neutron is the protons which has a positive charge and the ones that orbit around the atom is the electrons which has a negative charge in it. The number of protons is call the Atomic Number. Protons have a relative charge of +1 and the electron have a relative charge of -1.