Homework Help: Units - Watts, meters & Kelvin

1. Feb 28, 2005

tony873004

Units -- Watts, meters & Kelvin

I have an equation:
$$L = \sigma T^{4} * 4 \pi R^{2}$$

Which I fill with values and units
$$L=5.67*10^{-8} * (5860K)^{4} * 4 \pi * (6.96*10^{8}m)^{2}$$

$$4.07*10^{26} K^{4} m^{2}$$

$$4.07*10^{26} watts$$

I don't understand the relationship between meters, Kelvins, and Watts. How do I properly combine or cancel the units to arrive at Watts?

2. Feb 28, 2005

Integral

Staff Emeritus
Investigate the units on your $\sigma$

3. Feb 28, 2005

tony873004

I was thinking the answer might lie there, but that might be a unitless constant. I think there is a Kelvin meter relationship that yields watts.

4. Feb 28, 2005

chroot

Staff Emeritus
5. Feb 28, 2005

tony873004

Thank you. I get it now. You're both right. It does have units