Answer:
a) s = 36 ly
b) s = 0.6 ly
c) s = 0.012 ly
Explanation:
the 360 ° angular displacement in a circle is the circumference with a radius r. The angle is equal to the length of the arc s. Therefore, we have to:
(360°/θ) = (2*pi*r)/s
Clearing s:
s = ((2*pi*r)/360°)*θ = (r/360°*(60´/1°)*(60´´/1´)/2*pi))*θ = (r*θ)/206265´´
a) We have:
r = 2.5x10^6 ly
θ = 3´´
s = (r*θ)/206265´´ = (2.5x10^6 * 3´´)/206265´´ = 36 ly
b) We have:
r = 2.5x10^6 ly
θ = 0.05´´
s = (r*θ)/206265´´ = (2.5x10^6 * 0.05´´)/206265´´ = 0.6 ly
For the radio interferometer is equal to:
r = 2.5x10^6 ly
θ = 0.001´´
s = (r*θ)/206265´´ = (2.5x10^6 * 0.001´´)/206265´´ = 0.012 ly
