Figure 2.34 shows the power output, p(w), of a wind turbine as a function of wind speed, w.

(a) At what wind speed does the turbine generate the most power?

(b) The derivative p'(7) is positive but the derivative p'(15) is negative. What does this tell you?

(c) Give units and interpret p(7) = 17,500 and p'(7) = 8000.
(d) Give units and interpret p(15) = 50,000 and p'(15) = −800.

Transcribed Image Text:

power (watts) 50,000 40,000 30,000 20,000 10,000 0 5 p(w) 10 15 Figure 2.34 20 w (m/sec)