Mining Methods and Machinery · Mining Machinery · 2 marks · Numerical answer
A2.5-tonne locomotive hauls five3-tonne gross cars up a1-in20 slope. The printed tractive force is1800 kN and acceleration0.5 m/s². With g=10 m/s²,find rolling resistance in kN/tonne to three decimals.
Retain the unusually large printed tractive force. Total mass is17.5 tonnes. Acceleration force is17.5×0.5=8.75 kN; grade resistance is17.5×10/20=8.75 kN. Remaining force is1800−8.75−8.75=1782.5 kN. Divide by17.5 tonnes to get101.857 kN/tonne,within the official range. Silently changing1800 to a more plausible force would alter grading.
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