Chapter 10, Problem 11PCE

The angle an airplane propeller makes with the horizontal as a function of time is given by θ = (125rad/s)t + (42.5rad/s²)t². (a) Estimate the instantaneous angular velocity at t = 0.00 by calculating the average angular velocity from t = 0.00 to t = 0.010s. (b) Estimate the instantaneous angular velocity at t = 1.000 s by calculating the average angular velocity from t = 1.000 s to t = 1.010 s. (c) Estimate the instantaneous angular velocity at t = 2.000 s by calculating the average angular velocity from t = 2.000s to t = 2.010s. (d) Based on your results from parts (a), (b), and (c), is the angular acceleration of the propeller positive, negative or zero? Explain, (e) Calculate the average angular acceleration from t = 0.00 to t = 1.00s and from t = 1.00s to t = 2.00 s.