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Sagot :
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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