Calculations involving light years and distance – Higher
A light year is a distance.
It is the distance light travels in one year.
As light travels at constant speed, the distance light travels in a year can be calculated using the equation:
Distance = speed x time
Speed of light = 300,000,000 m/s = 3 x 108 m/s
time = 1 year = 365 x 24 x 60 x 60 = 31,536,000 s
1 light year = 3 x108 m/s x 31,536,000 s = 9.46 x 1015 metres
1 light year = 9.46 x 1015 m
Example
A galaxy is found to be 20 million light years away. How far is that in metres?
Answer
20 million light years can be written as 20,000,000 light years or 20 x 106 light years.
1 light year = 9.46 x 1015 metres
20 x 106 light years = 20 x 106 x 9.46 x 1015 metres = 1.89 x 1023 m
The galaxy is 1.89 x 1023 m away.