Question

The number of teeth in driving spur gear is 60. The circular pitch of the teeth is 15 mm. the tangential force transmitted is 140 kg. Calculate horsepower transmitted to the driven gear at 180 rpm of driving gear.

(a) 2.5

(b) 5.04

(c) 6

(d) 7.55

The question was posed to me in homework.

Origin of the question is Mechanical Power Transmission in chapter Mechanical Power Transmission of Farm Machinery

Answer 1

Correct option is (b) 5.04

The best I can explain: Pitch=\(\frac{πD}{T} \)

D1=\(\frac{PT}{π}=\frac{0.015*60}{π}\) = 0.287 m

Peripheral speed, v=\( \frac{πDN}{60} = \frac{(π*0.287*18)}{60}\) = 2.70 m/s

H.P = \( \frac{F*v}{75}=\frac{140*2.70}{75} \)

H.P = 5.04.