cal vers Wh convertisseur - Calorie vers Watt-heure

Conversion derivation

Express both cal and Wh in the same base unit J (joule), then cancel the shared base unit.

1. 1

   Rewrite cal in the base unit

   $$1\mathrm{cal}=4.184\mathrm{J}$$
2. 2

   Rewrite Wh in the base unit

   $$1\mathrm{Wh}=3,600\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cal}& =\frac{4.184\cancel{\mathrm{J}}}{3,600\cancel{\mathrm{J}}}\times 1\mathrm{Wh}\\ & =\frac{4.184}{3,600}\mathrm{Wh}\\ & =0.001162222222\mathrm{Wh}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{Wh}& =\frac{3,600\cancel{\mathrm{J}}}{4.184\cancel{\mathrm{J}}}\times 1\mathrm{cal}\\ & =\frac{3,600}{4.184}\mathrm{cal}\\ & =860.420650096\mathrm{cal}\end{array}$$