Calculating Angular Size of Moon with Telescope

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
3 replies · 3K views
A B C
Messages
4
Reaction score
0

Homework Statement



The moon is observed using a telescope that has an objective lens with a focal length of 3.0 m and an eyepiece with a focal length of 7.5 cm. What is the angular diameter of the moon if the earth-moon distance is 3.85 × 108 m and the diameter of the moon is 3.48 × 106 m?
(a) 0.36 rad (c) 9.0 rad (e) 40 rad
(b) 4.7 rad (d) 22 rad


Homework Equations



0 = ho / do


The Attempt at a Solution



0 : the angular size.
ho: the high of the object
do: the distance of the object
 
on Phys.org
collinsmark said:
Hello A B C,

What do you think?

I think it's 0.36 rad, but I'm not sure
 
A B C said:
I think it's 0.36 rad, but I'm not sure

Fair enough. :smile: But if you want us to confirm, you'll have to show us your work. :cool:

Let me ask you,
(i) What's the angular diameter of the moon without the telescope?
(ii) What's the telescope's magnification?
(iii) Are you more sure of your answer after finding (i) and (ii)? :wink: