Question Bank • QB_FP_073 NAT • 2 Marks

Section 3: Farm Power

Tractors and Power Tillers

Subtopic: Traction theory

Question Statement:

Using the Wismer & Luth empirical equation for motion resistance ratio $\rho$ of a wheeled agricultural drive tire in cohesive soil: $\rho = \frac{R}{W} = \frac{1.2}{C_n} + 0.04$ If the wheel numeric is $C_n = 20.0$ and the dynamic wheel load is $W = 15.0\text{ kN}$, the motion resistance force $R$ in $\text{kN}$ is ________ (answer in integer).

Answer Key:

1.5

Step-by-Step Solution & Explanation

1. Motion resistance ratio ($\rho$): $\rho = \frac{1.2}{20.0} + 0.04 = 0.06 + 0.04 = 0.10$ 2. Motion resistance force ($R$): $R = \rho \times W = 0.10 \times 15.0\text{ kN} = 1.5\text{ kN}$
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