What is a prolate spheroid shape?

A prolate spheroid is a spheroid that is “pointy” instead of “squashed,” i.e., one for which the polar radius is greater than the equatorial radius , so (called “spindle-shaped ellipsoid” by Tietze 1965, p. 27). A symmetrical egg (i.e., with the same shape at both ends) would approximate a prolate spheroid.

What is oblate and prolate?

If the ellipse is rotated about its major axis, the result is a prolate (elongated) spheroid, shaped like an American football or rugby ball. If the ellipse is rotated about its minor axis, the result is an oblate (flattened) spheroid, shaped like a lentil or a plain M&M.

Is the earth oblate or prolate?

This would make it an oblate spheroid: flattened like an orange. Dominique Cassini and his son Jacques took a contrary view: their measurements in France indicated that the Earth is elongated at the poles, a shape called a prolate spheroid, more like a lemon.

Is prolate spheroid a polyhedron?

The hebdomicontadissadron (heptaconadihedron) is a sphere like polyhedron(with 72 faces). The prolate heptacontadihedron is rugby ball like polyhedron.

Is an egg a prolate spheroid?

Egg shape. The shape of an egg is approximated by the “long” half of a prolate spheroid, joined to a “short” half of a roughly spherical ellipsoid, or even a slightly oblate spheroid. It can also be used to describe the 2-dimensional figure that, if revolved around its major axis, produces the 3-dimensional surface.

What is a 3 dimensional ellipse called?

ellipsoid
An ellipsoid is a three-dimensional shape for which all plane cross-sections are either ellipses or circles. The ellipsoid has three axes which intersect at the centre of the ellipsoid.

Is Earth a perfect sphere?

Even though our planet is a sphere, it is not a perfect sphere. Because of the force caused when Earth rotates, the North and South Poles are slightly flat. Earth’s rotation, wobbly motion and other forces are making the planet change shape very slowly, but it is still round.

Why is Earth not a perfect sphere?

What is the meaning of prolate?

: extended especially : elongated in the direction of a line joining the poles a prolate spheroid.

Why the shape of the Earth is oblate spheroid?

The rotation of the earth causes the earth to swell more at the equator, compared to at the poles. When the earth rotates, there is a strong outward force on the earth matter near the equator. This force causes the swelling, and gives the earth the oblate spheroid shape.

Is an egg an ellipse?

Eggs are neither circular nor elliptical. Eggs are oval. If you observe an egg closely, the distance from the center is not a fixed circle. The horizontal aspect has a longer ellipse-like form.

How many edges does an egg have?

Answer:

How to calculate the surface area of a prolate spheroid?

The area outside the prolate spheroid surface can be calculated using the below given formula. Spheroid is also known as ellipsoid of revolution. It is a sphere-like which is not perfectly spherical body. It is formed by rotating any the ellipse with any of its principal axes (major or minor). Spheroid are of two types.

When do you use prolate and oblate spheroids?

There are two types of spheroids namely, Oblate and Prolate. Oblate is represented when ellipse is rotated to its major axis and Prolate is represented when ellipse is rotated to its minor axis.

How is the prolate spheroid of an ellipse generated?

The prolate spheroid is generated by rotation about the z-axis of an ellipse with semi-major axis c and semi-minor axis a; therefore, e may again be identified as the eccentricity. (See ellipse.)

Which is the longest axis of a prolate spheroid?

As shown in Fig. 5.1(a), a prolate spheroidparticle model is made from rotating an ellipse with the longest dimension (the major axis) 2aand shortest dimension (the minor axis) 2baround the major axis. For avoiding the reader’s confusion, the notation Uinstead of uin Eq.