Essays on Ellipse

Question #8

Angular momentum refers to the resistance of a rotating body to change its spin rate or direction of spin. Angular momentum can be determined by the product of the moment of inertia and the angular velocity, or by the cross product of the moment arm and the product of the mass and velocity vector of the body (Sellers 2004, 112-113). For this particular problem, we will use the latter to determine the angular momentum. H=R×mV H=0.5 m×0.25 kg2 ms H=0.25 kg∙m2s Since angular momentum is conserved, the angular momentum of the system every point in time ...

INTRODUCTION TO GEOGRAPHY INFORMATION SYSTEMS (GIS)

Q1. Main data sources for GIS The primary data sources for GIS include; first, web pages. The internet is a platform for accessing GIS data. This GIS data from the internet is in digital format. Again, it is necessary first to evaluate the quality of data found in Metadata before purchasing or downloading it as per the GIS project’s quality standard. Secondly are map sheets. The printed or hard copy maps documents are also sources of GIS data. They vary as per format, content, age, usage, media, scale and complexity but should be legible for providing direct measurements ...

- Where in the Galaxy is the solar system located? a. in the nucleus, b. in the halo, c. in a spiral arm, d. between two spiral arms) e. in the central bulge

The solar system is placed in a spiral arm, considered the most hospitable region in the galaxy. The spiral arms are where the active stars form and they orbit around the Milky Way galactic center and the solar system joins this orbital trip. According to the latest discoveries, the Milky Way galaxy has only two spiral arms (Scutum – Centaurus and Perseus) as opposed of four previously considered ...

An example of a loaf of bread is as the figure below:

Figure 1: A Loaf of Bread (source: http://www.wikihow.com/Slice-Bread) I am going to calculate the volume of a loaf of bread in the figure above. First of all, the cross-section of the loaf is as shown in the Figure 2 below: Figure 2: Cross-section of the loaf of bread. The cross-section of the loaf can be viewed as a combination of half of an ellipse and a rectangle, as in Figure 3 below: Figure 3: Cross-section of the loaf as a combination of half of an ellipse and a rectangle. A=area of12an ellipse+area of rectangleA=πS2r+pr -----(1) ...

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Introduction Ellipse is the locus of points of Euclidean plane for which the sum of the distances to two data points F1 and F2 (called foci) is constant and greater than the distance between the foci. Bulk body is a body of revolution generated by the rotating flat geometrical figure bounded by a curve about an axis lying in the same plane. Volume of the solid formed by rotation around the x axis of the figure bounded function f (x) on the interval [a; b], the x-axis and direct x = a and ...

Physics of the Landing

Curiosity rover which is the size of a small car a one tone robot landed on mars safely and it was declared as one of the most difficult and daring attempted interplanetary missions costing one point six billion dollars. The rover which is six wheeled was lowered on three nylon tethers to the surface of the Martian. The tethers were suspended from a sky crane hovering air borne with retro rockets. This is one of the most advanced planetary activity currently carried out by the engineers of physics of landing and it has took the world by surprise since many people did ...