Physics, 01.07.2019 03:30, mervindavisk

Find the length l of one "arch" of this cycloid, that is, find the distance traveled by a small stone stuck in the tread of a tire of radius r during one revolution of the rolling tire.

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answered: vinnay17

The length L of one “arch” of the cycloid of the stone which stuck in the tread of a tire is 2πr.

What is arc length?

The length of arc is the measure of the length of two points of a section of a curve.

In the given problem, the stone is stuck in the tread of a tire. Now this stone will move the same distance as the one surface point of the tire in one revolution of the rolling tire.

The radius of the tire is r. Now the, distance traveled by object in one revolution of the rolling tire is equal to the circumference of the tire.

The circumference of the tire with radius r is,

$P=2\pi r$

As the length of the arch of this stone is the same as the circumference of the tire. Therefore, the length of the arch of stone is,

$L=2\pi r$

Hence, the length L of one “arch” of the cycloid of the stone which stuck in the tread of a tire is 2πr.

Learn more about the arc length here:

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answered: ChHal3716

L = 2*R*π

Explanation: Considering the case where no other forces or effects are happening (Sliding, deformation, etc) The path that the rock does inside of a circular object is equal to the perimeter of the circular object, in this case, a rolling tire.

Then if the radius of the tire is R; the perimeter of the tire is equal to:

p = 2*R*π

And for one revolution of the tire, the length of the arc that the rock travels is equal to the perimeter; so we have:

L = P = 2*R*π

answered: Guest

science is a systematic and logical approach to discovering how things in the universe work. true to this definition, science aims for measurable results through testing and analysis. science is based on fact, not opinion or preferences. the process of science is designed to challenge ideas through research.

explanation:

answered: Guest

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

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Find the length l of one "arch" of this cycloid, that is, find the distance traveled by a small ston...