Question

A tractor drawn seed drill is operated in the field at a forward speed of 5 km/hour. The effective diameter of the ground wheel of the seed drill is 0.5 m and the transmission ratio between ground wheel and metering rollers is 1.1. if the skid of the ground wheel of the drill is 10%, the speed of metering rollers in rpm will be ______

(a) 10

(b) 66.421

(c) 50.357

(d) 58.357

I got this question in an internship interview.

The question is from Sowing Equipments topic in division Sowing Equipments of Farm Machinery

Answer 1

Correct choice is (d) 58.357

To explain I would say: Skid = \(\frac{Vt}{Va}\)-1

\(\frac{10}{100} = \frac{Vt}{5}\)-1

Vt = 5.5 km/h

V = \(\frac{πDN}{60} \)

\(\frac{5.5*1000}{3600} = \frac{π*0.5*Ng}{60} \)

Ng = \(\frac{5.5*60*1000}{3600*0.5*π}\) = 58.975

\(\frac{Ns}{Nr} = \frac{1}{1} \)

Nr = \(\frac{58.357*1}{1}\) = 58.975.