Some of the real-life uses of polar coordinates include avoiding collisions between vessels and other ships or natural obstructions, guiding industrial robots in various production applications and calculating groundwater flow in radially symmetric wells. Polar coordinates can also be used to determine the best audio pickup patterns for cardioid microphones. Calculations involving aircraft navigation, gravitational fields and radio antennae are additional applications in which polar coordinates are used.
Know MoreLike the Cartesian x- and y-axis system, polar coordinates exist within a two-dimensional plane. The points on the plane are determined by both their angle and distance from a fixed point, which is called a pole. The distance from the pole is called the radius or radial coordinate. The fixed-direction ray originating at the pole is the polar axis. The angle is referred to as the azimuth, polar angle or angular coordinate.
Learn more about Maps & CartographyOne example of real-life hexagons are the cells found in a honeycomb. Another example is most of the basalt rocks in the Giant's Causeway on the coast of Northern Ireland.
Full Answer >The motion of an object that’s thrown 3m up at a velocity of 14 m/s can be described using the polynomial -5tsquared + 14t + 3 = 0. Factorizing the quadratic equation gives the time it takes for the object to hit the ground. Polynomials apply in fields such as engineering, construction and pharmaceuticals.
Full Answer >Trigonometry has applications in a number of scientific fields, ranging from geography and astronomy to engineering and physics. One of the most important early real-life examples of trigonometry involved using the knowledge that the earth was a sphere for navigation. Ptolemy put trigonometry to work in his work "Geography", and Christopher Columbus used trigonometry in finding his way from Spain to what he thought was India but ended up being the New World.
Full Answer >Real-life examples of solubility include adding sugar to hot coffee, stirring a bouillon packet into hot water and taking medications that quickly absorb into the blood stream. A negative example of solubility is the dissolving of toxic metals and chemicals into a water supply.
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