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Juan and Kuri are on a carousel. Juan is closer to the center of the carousel than Kuri. Which statement describes their tangential speeds? Juan and Kuri move the same distance in one revolution, but Juan completes the revolution in less time and has a higher speed. Juan and Kuri complete one revolution in the same time, but Juan travels a shorter distance and has a lower speed. Juan moves a shorter distance in less time than Kuri, but their speeds are the same. Juan and Kuri complete one revolution in the same time, so they have the same speed.

Respuesta :

Answer:

Juan and Kuri complete one revolution in the same time, but Juan travels a shorter distance and has a lower speed.

Explanation:

Since Juan is closer to the center and Kuri is away from the center so we can say that Juan will move smaller distance in one complete revolution

As we know that the distance moved in one revolution is given as

[tex]d = 2\pi r[/tex]

also the time period of revolution for both will remain same as they move with the time period of carousel

Now we can say that the speed is given as

[tex]v = \frac{2\pi r}{T}[/tex]

so Juan will have less tangential speed. so correct answer will be

Juan and Kuri complete one revolution in the same time, but Juan travels a shorter distance and has a lower speed.

shubhamchouhanvrVT

Juan and Kuri complete one revolution at the same time, but Juan travels a shorter distance and has a lower speed.

What will be the speed of Juan and Kuri?

As it is given in the question that Juan is closer to the center and Kuri is away from the center so we can say that Juan will move a smaller distance in one complete revolution.

As we know that the distance moved in one revolution is given as

[tex]D= 2\pi r[/tex]

The time period of revolution for both will remain the same as they move with the time period of the carousel.

Now we know that the speed is given by the formula:

[tex]V=\dfrac{Distance }{Time}[/tex]

[tex]V= \dfrac{2\pi r}{T}[/tex]

So Juan will have less tangential speed.

Thus Juan and Kuri complete one revolution at the same time, but Juan travels a shorter distance and has a lower speed.

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