A chopper is hovering above the ground as shown in the figure below, where each blade is 3m long. The initial rotational velocity of the blade is 20 rad/s. To reach a higher altitude, the pilot increases the rotor speed (speed of the blades) at a constant acceleration. Note: The tangential, radial, and angular acceleration are represented with 3 vectors below; and the net rotational acceleration is the net force of 2 of these vectors. These vectors have been left intentionally unlabelled. I a. What is the final rotational velocity after the first rotation, which takes 0.25 seconds? b. What is the tangential acceleration over the cycle? c. What is the instantaneous radial acceleration at the end of the first cycle? d. What is the instantaneous total acceleration of a point at the outer tip of the blades, at the end of the first cycle?

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A chopper is hovering above the ground as shown in the figure below, where each blade is 3m long. The initial rotational
velocity of the blade is 20 rad/s. To reach a higher altitude, the pilot increases the rotor speed (speed of the blades) at a
constant acceleration.
Note: The tangential, radial, and angular acceleration are represented with 3 vectors below; and the net rotational
acceleration is the net force of 2 of these vectors. These vectors have been left intentionally unlabelled.
1
a. What is the final rotational velocity after the first rotation, which takes 0.25 seconds?
b. What is the tangential acceleration over the cycle?
c. What is the instantaneous radial acceleration at the end of the first cycle?
d. What is the instantaneous total acceleration of a point at the outer tip of the blades, at the end of the first cycle?
Transcribed Image Text:A chopper is hovering above the ground as shown in the figure below, where each blade is 3m long. The initial rotational velocity of the blade is 20 rad/s. To reach a higher altitude, the pilot increases the rotor speed (speed of the blades) at a constant acceleration. Note: The tangential, radial, and angular acceleration are represented with 3 vectors below; and the net rotational acceleration is the net force of 2 of these vectors. These vectors have been left intentionally unlabelled. 1 a. What is the final rotational velocity after the first rotation, which takes 0.25 seconds? b. What is the tangential acceleration over the cycle? c. What is the instantaneous radial acceleration at the end of the first cycle? d. What is the instantaneous total acceleration of a point at the outer tip of the blades, at the end of the first cycle?
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