How do you calculate the diameter of the sun with the following information?

By measuring the spectrum of wavelengths of light from our sun, we know that its surface temperature is 5800 K. By measuring the rate at which we receive its energy on earth, we know that it is radiating a total of #3.92*10^26 J/s# and behaves nearly like an ideal blackbody.

1 Answer
Feb 15, 2016

I found the radius as #R_s=6.97xx10^8m# multiply by #2# to get the diameter.

Explanation:

I would try using Stefan-Boltzmann law:
#color(red)(P=Ssigma T^4)#
where:
#P=#power;
#S=#surface area;
#T=#temperature.
In your case:
#3.92xx10^26=4piR_s^2*5.67xx10^-8*(5800)^4#
rearranging:
#R_s=6.97xx10^8m# that is the radius.