Physics, 29.07.2019 03:30 kchugues1241

On what variable factors do the period and speed of an object in circular orbit depend?

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Answer from: jacamron

The mass of the central object and the mean radius of the orbit.

OR

The distance between the centers and the mass of the central object.

Good luck :)

Answer from: princessjsl22

The mass of the central object and the mean radius of the orbit.Explanation:

Objects orbiting in rings possess a speed which is equivalent to the distance covered per time of journey. The length around a circle is equal to a circumference and measured as:

2 × pi × R.

Where R denotes the radius. The time for single revolution about the circle is related to as the period and expressed by the symbol T. Therefore the average speed of an object in round movement is presented by the expression:

2 × pi × R ÷ T.

Usually, the query description gives the rotational frequency in revolutions per minute or revolutions per second. Every revolution about the circle is equal to a circumference of length. Thus, multiplying the rotational frequency by the circumference enables one to measure the average speed of the object.

Answer from: Quest

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

$x(t)=ax(x-6)$

where $a$ is unknown. because the position is parabolic, there is symmetry about the midpoint at $t=3$ , and we know that

$x(3)=10\implies -9a=10\implies a=-\dfrac{10}9$

so that the position function is

$x(t)=-\dfrac{10}9x(x-6)$

which means the velocity is

$v(t)=\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{20}9x+\dfrac{60}9$

then the total distance traveled is

$\displaystyle\int_{t=0}^{t=6}|v(t)|\,\mathrm dt=\left\{\int_{t-0}^{t=3}-\int_{t=3}^{t=6}\right\}v(t)\,\mathrm dt=20$

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at $x=0$ and ends at $x=0$ , so its displacement is 0.

Answer from: Quest

i think the answer is tomato juice? not entirely sure though

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