Answer
Therefore facewidth should be kept = 11 mm or 12 mm
Work Step by Step
$Pitch Diameter, d = N ∗ m = 16 * 1 = 16 mm$
where, N = number of teeth
m= module
$Lewis form factor, Y = 0.296 $; for 16 teeth with 20degree pressure
angle
$Pitch line velocity, V=(pi∗d∗n)/60$ ; where; n = speed in rpm
therefore $V=(3.14∗16 ∗0.001∗ 400)/60=0.335 m/s$
$Velocity Factor, K=(6.1+V)/6.1$ ; for cut or milled profile
therefore $K=(6.1+0.335)/6.1=1.055$
$Tangential load, W=(60000∗h)/(pi ∗ d ∗ n)$ ; where h is power in kW
therefore $W=(60000∗0.15)/(3.14∗16 ∗400)=0.4476 kN =447.6 N$
$Facewidth, F = (K∗W)/(sigma ∗ m ∗ Y)$ ; where sigma is bending stress
$Facewidth, F= (1.055∗447.6)/(150∗1∗0.296)$
$Facewidth, F = 10.6 mm$
Therefore facewidth should be kept = 11 mm or 12 mm