Difference between revisions of "Course:MATH102/Question Challenge/1997 December Q5"
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Revision as of 16:26, 7 December 2017
Questions? Click here to add or read comments for this problem | |
Please rate how easy you found this problem:
Current user rating: 70/100 (2 votes) Hard Easy |
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Question
As a moon orbits a planet, its angular position is given by Kepler's equation
where is some constant.
(a) If it takes 50 days for the moon to complete an orbit, what it the value of ?
(b) Find the rate of change when .
Hints
Hint 1 |
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Remember that 1 revolution is radians. |
Hint 2 |
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At , the moon has made 1 full revolution so radians and . You can use this to find . |
Hint 3 |
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To find , consider differentiating both sides of the equation with respect to time, and use the chain rule on the right hand side. Then isolate (solve for) . Only plug in the value at the very end. |
Solutions
Solution |
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Add your solution here. |
4pi/75 = 0.167551608