Neco 2020 Agricultural Science Question 4

A farmer owns a 30 HP tractor whose engine speed can be varied between 1,200 rpm and 2,400 rpm. The tractor’s power‑take‑off (PTO) shaft is driven by a belt system with a pulley ratio of 3:1 (engine pulley : PTO pulley) and the belt has an overall efficiency of 90%. The threshing machine to be used requires a PTO speed of exactly 540 rpm and a minimum torque of 250 Nm. Using the information given, determine whether the tractor can meet the required speed and torque. If the tractor cannot meet the torque requirement at the required speed, calculate the minimum engine speed needed (still within the adjustable range) to satisfy both conditions. Finally, suggest two practical adjustments the farmer could make to increase the available PTO torque.