We can form the following definitions and equations:
\( N \) = Number of teeth on pulley.
\( P \) = Pitch of Belt (distance between teeth).
\( C_b \) = Circumference of belt.
\( D_b \) = Diameter of belt.
\( D_{po} \) = Outer Diameter of pulley.
\( D_{pi} \) = Inner Diameter of pulley.
\( T_b \) = Thickness of belt, measured from tooth valley to the flat side of the belt.
\( H_t \) = Height of the tooth on the belt.
Equations:
\( C_b = N \cdot P \)
\( D_b = \frac{C_b}{\pi} \)
\( D_{po} = D_b - 2 \cdot T_b \)
\( D_{pi} = D_{po} - 2 \cdot H_t \)
