The tangential force transmitted (in N) is

Direction: A 20° full depth involute spur pinion of 4 mm module and 21 teeth is to transmit 15 kW at 960 rpm. Its face width is 25 mm.

P =15 kW
m = 4 mm
Z_p = 21
N = 960 rpm
b = 25mm
D_p =mZ_p = 4 × 21 = 84 mm

Speed of pinion, υ =	πD_pN	m / s
	60000

= π × 84 ×	960	= 4.22 m / s
	60000

Also, P = F_tυ

or F_t =		P	=	15 × 1000
		υ		4.22

≈ 3552 N