Subtopic: Functional requirements, principles of working, construction and operation of manual, animal, tractor and renewable energy operated equipment for tillage, sowing, planting, fertilizer application, inter-cultivation, spraying, mowing, chaff cutting, harvesting and threshing
Question Statement:
A cylindrical chaff cutter with $3$ cutting blades rotates at $360\text{ rpm}$. The feed rollers advance fodder at a linear speed of $0.6\text{ m/s}$. The theoretical cut length of the chaff is ________ $\text{mm}$ (round off to two decimal places).
Answer Key:
33.33
Step-by-Step Solution & Explanation
1. Time per revolution of cutter head:
$t_{\text{rev}} = \frac{60}{360} = \frac{1}{6}\text{ s}$
2. Time interval between successive blade cuts ($t_{\text{cut}}$) with $n = 3$ blades:
$t_{\text{cut}} = \frac{t_{\text{rev}}}{n} = \frac{1/6}{3} = \frac{1}{18}\text{ s}$
3. Length of feed advance between cuts ($L$):
$L = v_{\text{feed}} \times t_{\text{cut}} = 0.6\text{ m/s} \times \frac{1}{18}\text{ s} = \frac{0.6}{18} = 0.03333\text{ m} = 33.33\text{ mm}$