Question

1. The angle an airplane propeller makes with the horizontal as a function of time is given by θ=(115 rad/s)t+(44.0 rad/s^2)t^2.

A. Estimate the instantaneous angular velocity at t=0.00s by calculating the average angular velocity from t=0.00s to t=0.010s.

B. Estimate the instantaneous angular velocity at t=1.000s by calculating the average angular velocity from t=1.000s to t=1.010s.

C. Estimate the instantaneous angular velocity at t=2.000s 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=0.00s to t=1.00s.

F. Calculate the average angular acceleration from t=1.00s to t=2.00s.

2. When a carpenter shuts off his circular saw, the 10.0-inch-diameter blade slows from 4333 rpm to zero in 2.25 s. The angular acceleration of the blade is -202 rad/s^2.

A. What is the distance traveled by a point on the rim of the blade during the deceleration?

B. What is the magnitude of the net displacement of a point on the rim of the blade during the deceleration? Express your answer to three significant figures.

3. A Ferris wheel with a radius of 9.1 m rotates at a constant rate, completing one revolution every 34 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.18 rad/s2 when the passenger is at the top of the wheel. The magnitude of the passenger's acceleration at that time is 1.7 m/s^2.

A. Find the direction of the passenger's acceleration at that time.

Answer 1