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5. Pluto is about 4,000,000,000 miles (4 billion, or 4 x 109 miles) away from Earth, but is only about 2,000 miles in diameter. How big an angle (in degrees) will this planet make in a telescope? Degrees How big an angle is this in arc-seconds? Convert this angle in degrees to the smaller unit of arc-seconds following the examples in Table A. If your telescope can resolve objects about 2 arc seconds in size, will Pluto be visible? Comment! Answer: Answer: arc seconds Angular Measurement Exercises Comments: 23
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Transcribed Image Text:5. Pluto is about 4,000,000,000 miles (4 billion, or 4 x 109 miles) away from Earth, but is only about 2,000 miles in diameter. How big an angle (in degrees) will this planet make in a telescope? Degrees How big an angle is this in arc-seconds? Convert this angle in degrees to the smaller unit of arc-seconds following the examples in Table A. If your telescope can resolve objects about 2 arc seconds in size, will Pluto be visible? Comment! Answer: Answer: arc seconds Angular Measurement Exercises Comments: 23
TABLE A: Converting degrees to smaller angular units. Multiply the # of degrees by 60 to get arc-minutes, and by 3600 to get arc-seconds. 1/10° 0.1° 0.1 degrees x 60 arc-minutes/degree 2/100° = 0.02° = 0.02 degrees x 60 arc-minutes/° x 60 arc-sec/arc-min = 72 arc seconds 1/1800° = 0.000556° = 0.000556 degrees x 3600 arc-sec/degree = 2 arc seconds Note all answers should be rounded to just 1 significant digit! Why? = 6 are minutes
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Transcribed Image Text:TABLE A: Converting degrees to smaller angular units. Multiply the # of degrees by 60 to get arc-minutes, and by 3600 to get arc-seconds. 1/10° 0.1° 0.1 degrees x 60 arc-minutes/degree 2/100° = 0.02° = 0.02 degrees x 60 arc-minutes/° x 60 arc-sec/arc-min = 72 arc seconds 1/1800° = 0.000556° = 0.000556 degrees x 3600 arc-sec/degree = 2 arc seconds Note all answers should be rounded to just 1 significant digit! Why? = 6 are minutes
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Step 2: Small angle formula
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Step 3: The angle made by Pluto in a telescope
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Step 4: Conversion of angle in arc-sec
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Step 5: Visibility of Pluto by telescope
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