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alexgriva [62]
3 years ago
7

A 75-hp compressor in a facility that operates at full load for 2500 h a year is powered by an electric motor that has an effici

ency of 93 percent. If the unit cost of electricity is $0.11/kWh, the annual electricity cost of this compressor is
Physics
1 answer:
stealth61 [152]3 years ago
3 0

Answer:

C = 16544.35\, USD

Explanation:

The annual electricity cost is:

C = (\frac{1}{0.93} )\cdot(75\, h.p.)\cdot(0.746\, kW)\cdot(2500\,h)\cdot(\frac{3600\,s}{1\,h} )\cdot(\frac{1\,kWh}{3600\,kJ} )\cdot (0.11\,\frac{USD}{kWh} )

C = 16544.35\, USD

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Using this formula we pass time to hours:

t_{hours}=t_{min}*\frac{1 h}{60 min}\\30min*\frac{1 h}{60 min}=0,5h\\45min*\frac{1 h}{60 min}=0,75h

Now we can plot speed vs time (image 1). The problem says that the driver uses constant speed, so all lines have to be horizontal.

Using the values of the speed we calculate the distance in each interval

d=v*t\\80km/h*0.5h=40km\\100km/h*0.75h=75km

Using these values and the fact that she was having lunch in the third one (therefore stayed in the same position), we plot position vs time, using initial position zero (image 2, distance is in km, not meters).

Finally, we compute the average speed with the distance over time:

v_{average}=\frac{155km}{2.25h}=68.9km/h

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