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The period of rotation of Mars is 1 day and 37 minutes. Determine its frequency of rotation in Hertz.

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Lanuelidn

The frequency of rotation of Mars is 0.0000113 Hertz.

Given the following data:

  • Period = 1 day and 37 minutes.

To find the frequency of rotation in Hertz:

First of all, we would convert the the value of period in days and minutes to seconds because the period of oscillation of a physical object is measured in seconds.

Conversion:

1 day = 24 hours

24 hours to minutes = [tex]60[/tex] × [tex]24[/tex] = [tex]1440[/tex] minutes

[tex]1440 + 37 = 1477 \; minutes[/tex]

1 minute = 60 seconds

1477 minute = X seconds

Cross-multiplying, we have:

[tex]X = 60[/tex] × [tex]1477[/tex]

X = 88620 seconds

Now, we can find the frequency of rotation of Mars by using the formula:

[tex]Frequency = \frac{1}{Period}\\\\Frequency = \frac{1}{88620}[/tex]

Frequency of rotation = 0.0000113 Hertz

Therefore, the frequency of rotation of Mars is 0.0000113 Hertz.

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