Question

A challenge gaining prominence throughout the planet is the increased need for \"green\" or sustainable energy. in certain parts of the country, wind farms are a viable alternative to conventional energy sources. an average wind turbine (the device which converts rotational motion to electricity) has a maximum capacity of 1.40 mw. however, realistically the wind turbine never runs at full power. if a wind turbine runs at 32.6% capacity for 1.00 year, how much energy does the wind turbine generate?

Answer 1

The energy delivered by turbine is 3.99 x 10^6 KWhr OR 14393 GJ

Step-by-step explanation:

First, we need to calculate the amount of power delivered by the turbine. That is given by the formula:

Actual Power Delivered by Turbine = P = 32.6% of the Maximum Capacity

P = (0.326)(1.4 MW)

P = 0.4564 MW = 456.4 KW

Now, the time period is given as 1 year, which can be converted to hours as follows:

Time Period = t = (1 year)(365 days/year)(24 hr/day)

t = 8760 hours

Now, the energy generated by the turbine in this period is given as:

Energy = E = Pt

E = (456.4 KW)(8760 hr)

E = 3.99 x 10^6 KWhr

Converting this into Joules:

E = (3.99 x 10^6 KWhr)(3.6 x 10^6 J/1KWhr)

E = 14393 GJ

Answer 2

32.6% of 1.4 Mw

= (0.326) x (1,400,000 joules/second)

= 456,400 joules/second .


1 year

= (365 da) x (86,400 sec/da) = 31,536,000 seconds


(456,000 joules/sec) x (31,536,000 sec) = 1.438 x 10¹³ Joules

(That's 1.438 x 10⁷ Megajoules, or 3,994,560 kWh)