Awind turbine is rotating at 15 rpm under steady winds flowing through the turbine at a rate of 42,000 kg/s. the tip velocity of the turbine blade is measured to be 250 km/h. if 180 kw power is produced by the turbine, determine (a) the average velocity of the air and (b) the conversion efficiency of the turbine. take the density of air to be 1.31kg/m3.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?