The GATE Grind

GATE 2023 AG – Question 40

Farm Machinery · Farm Machinery · 2 marks · Multiple choice

A boom sprayer has 12 nozzles at .5 m spacing and 75° spray angle. Lowering height from .75 to .60 m changes the swath width by how many metres?

  1. 0.23
  2. 0.48
  3. 0.65
  4. 0.91

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) 0.23

Explanation

Nozzle fan width on the ground is $w=2h\tan(\theta/2)$. The unchanged nozzle-center span cancels in the total-swath difference. Thus $\Delta W=2(.75-.60)\tan37.5^\circ=.230198$ m, or **.23 m, A**. Multiplying this change by all 12 nozzles would double-count overlapping spray fans.

More Farm Machinery questions

All Farm Machinery questions →