During operation, a two-wheel drive tractor with a total weight of $2000 \mathrm{~kg}$ has a weight distribution of $35 \%$ and $65 \%$ in front and rear axles, respectively. The width and diameter of the tyres fitted to the front axle are $0.18 \mathrm{~m}$ and $0.56 \mathrm{~m},$ and those of the rear axle are $0.34 \mathrm{~m}$ and $1.10 \mathrm{~m},$ respectively. If tyre deflection is $20 \%,$ then rolling resistance (in $\mathrm{kN}$ ) of the tractor in a soil with average cone index $1000 \mathrm{kPa}$ at a wheel slip of $15 \%$ (rounded off to two decimal places) will be_______________
During operation, a two-wheel drive tractor with a total weight of $2000 \mathrm{~kg}$ has a weight distribution of $35 \%$ and $65 \%$ in front and rear axles, respectively. The width and diameter of the tyres fitted to the front axle are $0.18 \mathrm{~m}$ and $0.56 \mathrm{~m},$ and those of the rear axle are $0.34 \mathrm{~m}$ and $1.10 \mathrm{~m},$ respectively. If tyre deflection is $20 \%,$ then rolling resistance (in $\mathrm{kN}$ ) of the tractor in a soil with average cone index $1000 \mathrm{kPa}$ at a wheel slip of $15 \%$ (rounded off to two decimal places) will be_______________
The peak of a flood hydrograph due to a 5 -hour storm is $670 \mathrm{~m}^{3} \mathrm{~s}^{-1}$. The total depth of rainfall is $9 \mathrm{~cm}$. Assuming an average infiltration loss of $0.2 \mathrm{~cm} \mathrm{~h}^{-1}$ and a constant baseflow of $30 \mathrm{~m}^{3} \mathrm{~s}^{-1},$ the peak discharge of the 5 -hour unit hydrograph for this catchment in $\mathrm{m}^{3} \mathrm{~s}^{-1}$ is_____________
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