Power efficiency problem (1 Viewer)

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A 3.25 * 103-kg aircraft takes 12.5 min to achieve its cruising altitude of 10.0 km and cruising speed of 850 km/h. If the plane's engines deliver, on the average, 1500 hp of power during this time, what is the efficiency of the aircraft engines?

I initially believed the power out would be: (Kinetic energy + Potential energy)/Time

And efficiency would be 1500hp/power out. But after my calculations, I got 14.6% efficiency, when it should be 48.7% efficiency.

What did I do wrong?
 

Pengwuino

Gold Member
4,764
10
I calculated 48.8% efficiency.

Did you....

1) Change minutes to seconds?
2) Change km to m?
3) Change km/h to m/s?
4) Convert J to hp? ( 735.498 75 watt = 1hp/s)

You have to do each of those in this problem.
 
354
11
Check your units. Did you convert the power in hp to watts?

1 hp = 746 watts.
 
354
11
Looks like we typed at the same time.
 
I don't know what I did wrong.
I'm pretty sure I converted everything.
It must have been a calculation error, because I just got the right answer.
 

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