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The Moon is 3476 km in diameter and orbits the Earth at an
Chapter 27, Problem 49P(choose chapter or problem)
Problem 49P
The Moon is 3476 km in diameter and orbits the Earth at an average distance of 384,400 km. (a) What is the angular size of the Moon as seen from Earth? (b) A penny is 19 mm in diameter. How far from your eye should the penny be held to produce the same angular diameter as the Moon?
Questions & Answers
QUESTION:
Problem 49P
The Moon is 3476 km in diameter and orbits the Earth at an average distance of 384,400 km. (a) What is the angular size of the Moon as seen from Earth? (b) A penny is 19 mm in diameter. How far from your eye should the penny be held to produce the same angular diameter as the Moon?
ANSWER:
Step 1 of 4
a) The tangent of the angular size of any object (such as the moon or a penny) is equal to the diameter of the object divided by the distance between the object and observer.
The angular size is,
Where,
- Diameter of the moon
- Distance from the earth to the moon