+1 vote
in Farm Machinery by (38.9k points)
In a tractor differential, the pinion on the propeller shaft has 12 teeth and the crown gear has 50 teeth. The propeller shaft rotates at 1500 rpm and the right rear axle rotates at 250 rpm while taking a left turn. The rotation of the left axle in rpm will be __________

(a) 470 rpm

(b) 360 rpm

(c) 570 rpm

(d) 600 rpm

This question was addressed to me in an international level competition.

The doubt is from Mechanical Power Transmission in section Mechanical Power Transmission of Farm Machinery

1 Answer

+2 votes
by (243k points)
selected by
Best answer
The correct choice is (a) 470 rpm

The best explanation: \(\frac{Nc}{Np}=\frac{Tp}{Tc} \)

Nc=\(\frac{Np*Tp}{Tc}=\frac{1500*12}{50}\) = 360 rpm

Nc=\(\frac{Nll+Nrr}{2} \)

360=\(\frac{Nll+250}{2} \)

Nll = 470rpm.

Related questions

We welcome you to Carrieradda QnA with open heart. Our small community of enthusiastic learners are very helpful and supportive. Here on this platform you can ask questions and receive answers from other members of the community. We also monitor posted questions and answers periodically to maintain the quality and integrity of the platform. Hope you will join our beautiful community