Mars, which has a radius of 3.4 × 106 m and a mass of 6.4 × 1023 kg, orbits the Sun, which has a mass of 2.0 × 1030 kg at a distance of 2.3 × 1011m.

Mar’s revolution around the sun is 687 days.

It takes 24 hours and 37 minutes to complete one rotation.









Which is greater, the tangential speed of Mars’s rotation or revolution?

Respuesta :

The revolution is greater than the Rotation.

How to get to this result?

  • First, we must consider that:
  1. The radius of Mars is equal to [tex]6.4*10^6m[/tex]
  2. The distance between the sun and mars is equal to [tex]2.3*10^1^1m[/tex]

  • Now we must calculate Mars' rotation. This will be done with the equation: [tex]2*\pi *r[/tex]

In this equation, the letter "r" represents the radius of Mars. Therefore, we can substitute the values in the equation as follows:

[tex]2*3.14*(3.4*10^6)= 21.36*10^6m[/tex]

  • Next, we must calculate the Tangential Velocity of the rotation of Mars. This will be done by dividing the value of Mars' rotation by the seconds it takes Mars to complete a full rotation.

As seen in the question, Mars spends 24 hours and 37 minutes. If we consider that 1 minute has 60 seconds, we can multiply 37 by 60 and we will find that in 37 minutes there are 2,220 seconds.

We must also consider that 1 hour has 60 minutes. So if we multiply 24 by 60, we know that in 24 hours we have 1,440 minutes. If we multiply this value of minutes by 60, we will find that they represent 86,400 seconds.

In this case, we must add the two values of seconds, and thus we will find that 88.620 seconds are spent in 24 hours and 37 minutes.

With this, we can calculate the Tangential speed of Mars' rotation as follows:

Mars rotation/seconds spent rotating =

[tex]\frac{21.36*10^6}{88,620} = 241.02\frac{m}{s}[/tex]

  • After that, we can calculate Mars' revolution around Sun and this will be done by the equation: [tex]2*\pi*d[/tex]

In this equation, the letter "d" represents the distance between Mars and the Sun. Therefore, we can substitute the values in the equation as follows: [tex]2*3.14*(2.3*10^1^1) = 1.45*10^1^2m[/tex]

  • Then we can calculate the Tangential speed of Mars' revolution by dividing this value by the number of seconds that Mars spends in its rotation around the sun.

We know that Mars spends 687 days to achieve this. We also know that 1 day has 24 hours which corresponds to 86,400 seconds. Therefore, we must multiply 86,400 seconds by 687 days to get the result equal to 59,356,800 seconds spent for Mars to complete its rotation around the sun.

After that, we can calculate the Tangential speed of Mars' revolution as follows:

Mars' revolution around Sun / seconds spent to complete revolution =

[tex]\frac{1.45*10^1^2}{59,356,800} = 24.42*10^3\frac{m}{s}[/tex]

  • Thus, we can conclude that the value of Revolution ( [tex]24.42*10^3 m/s[/tex]) is greater than the value of Rotation ( [tex]241.02 m/s[/tex]).

Learn more about calculating Mars' Rotation and Revolution:

https://brainly.com/question/4047374

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Answer:

revolution

Explanation:

quiz