The 2.3-Mg car increases its speed uniformly from rest to 17 m/s in 20 s up the

Question

The 2.3-Mg car increases its speed uniformly from rest to 17 m/s in 20 s up the inclined road.

Determine the maximum power that must be supplied by the engine, which operates with an efficiency of = 0.8.

Pmax =

The 2.3-Mg car increases its speed uniformly from rest to 17 m/s in 20 s up the inclined road. Determine the maximum power that must be supplied by the engine, which operates with an efficiency of elementof = 0.8. (Figure 1) Express your answer with the appropriate units. Also, find the average power supplied by the engine. Express your answer with the appropriate units.

Explanation / Answer

Fd - mgsin[tan-1(1/10)] = ma

here, a = (17 - 0)/20 = 0.85 m/s2

So, Fd - (2300 x 9.8)(0.0995) = 2300(0.85)

=> Fd = 4197.73 N

so, P = Fv = 4197.73 x 17 = 71.3614 kW

but efficiency = 0.8

So, maximum power required will be: P / 0.8 = 89.2017 kW.

Average power supplied by the engine = F (v/2) = 35.6807 kW

and so average power that must be supplied will be 35.6807 kW/0.8 = 44.6010 kW.

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