Allied & ICAR Exam Bank • ALLIED_1053 NAT • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Rotary Tillage

Question Statement:

A rotary tiller rotor has a radius of 25 cm and rotates at 240 rpm. If the forward speed of the tractor is 3.6 km/h (1.0 m/s), the kinematic velocity ratio $(\lambda = v_{peripheral} / v_{forward})$ is:

Answer Key:

6.28

Step-by-Step Solution & Explanation

Peripheral rotor speed $u = r \omega = 0.25 \times \left(\frac{2\pi \times 240}{60}\right) = 0.25 \times 8\pi = 2\pi \approx 6.283\text{ m/s}$. Forward speed $v = 1.0\text{ m/s}$. Velocity ratio $\lambda = \frac{u}{v} = \frac{6.283}{1.0} = 6.28$.
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