How Do Tractive and Braking Forces Affect Vehicle Motion on Different Gradients?

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SUMMARY

The discussion focuses on the calculations of tractive and braking forces affecting vehicle motion on gradients. It presents a scenario involving a 95-tonne engine hauling a 750-tonne train on level track, requiring calculations for power to accelerate and braking force to stop on a downgrade. Additionally, it examines a 35-tonne truck descending a gradient, calculating the braking force needed to stop and the power required for this action. The calculations involve specific gradients, resistance values, and speed conversions from km/hr to m/s.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with basic physics concepts of force and power
  • Knowledge of gradient calculations in vehicles
  • Ability to convert units from km/hr to m/s
NEXT STEPS
  • Calculate power requirements for various vehicle masses and gradients
  • Explore the effects of different tractive resistances on vehicle performance
  • Learn about braking systems and their efficiency on inclines
  • Investigate the impact of rolling resistance on different vehicle types
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Engineers, physics students, and automotive professionals interested in vehicle dynamics, particularly those focusing on tractive and braking forces in varying gradient conditions.

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tractive motion, with gradients, Hard questions!

4.1 An engine mass of 95 tonnes is hauling a train of mass 750 tonnes along a section of level track. the tractive resistance to motion of the engine is 120 N/tonne and the rolling resistance for the train is 90 N/tonne. initially the engine is traveling at 27 km/hr and then it accelerates over a distance of 1500m.

A) Calculate the power required to achieve this increase in speed?
B)The train then meets a downgrade of 1V in 110H and is brought to a stop in a distance of 900m. calculate the braking force required to stop the train?

4.7 A large truck mass of 35 tonnes is traveling down a gradient of 1V in 60H at a speed of 90 km/hr. The rolling resitance to motion is 115 N tonne.

A) If when the brakes are applied the truck is brought to a stop in 400m what is the applied braking force?
B)How much power is required to provide this braking force?
C)If this same power were available on a uphill gradient of 1 in 60 what constant speed would the truck be capable of reaching?

If u cannot convert km/hr in2 metres per second (ms-1) its (km/hr X 1000) /3600
 
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