In: Physics
1. The angle of an airplane propeller makes with the horizontal as a function of time is given by θ=(125rad/s)t+(42.5rad/s^2)t^2. estimate the instantaneous angular velocity at t=0.00s by calculating the average angular velocity from t=0.00s to t=0.010s
A. Estimate the angular speed at t = 0 by calculating the average angular speed between ti = 0 and tf = 0s.
B. Estimate the angular speed at t = 1.00 by calculating the average angular speed between ti = 1.00 and tf = 1.01s.
C. Estimate the angular speed at t = 2.00 by calculating the average angular speed between ti = 2.00 and tf = 2.01s.
D. Based on the above calculations, is the angular acceleration of the propeller negative, zero, or positive? Explain.
E. Calculate the average angular acceleration from t = 0.00 to 1.00s and from t = 1.00 to 2.00s.
F. Compare the angular acceleration calculated in E with the value of angular acceleration observed in the appropriate coefficient of the original equation for angle as a function of time. If they are not the same, explain why this might be?