Calculating Radii Using the Stefan-Boltzman Law

Using the Stefan-Boltzman law fill in the columns marked "Radius". We will calculate the radius in terms of solar Radii. Here is how we do it. The Stefan-Boltzmann law reads L = 4pR²sT⁴. If we divide by the same equation for the sun L_Sun = 4pR_Sun²sT_Sun⁴, we have L/L_Sun= (R/R_Sun)²(T/T_Sun)⁴ . Since radius in solar radii is R/R_sun and luminosity is already given in units of Solar luminosities, we can write this equation as L = R²(T/T_Sun)⁴ , where R and L are in units of the solar radius and solar luminosity. Then we can solve this equation to find R = L^0.5(T/T_Sun)², where T_Sun = 5860. We can use this last simplified equation to calculate the radii of the stars in terms of the Sun's radius. Enter the appropriate equation in the spreadsheet and fill in the whole column. Represent raising one quantity to a power with a "^" symbol in the spreadsheet. For instance you can enter T^0.5 as T^0.5 . Be sure to use the number value for the solar temperature in place of T_sun. If you use a cell reference and copy the formula, the cell reference will change to a different cell!