California State University Spring 2017 A Unit 14: Prelecture/ Checkpoint Homewo

Question

California State University Spring 2017 A Unit 14: Prelecture/ Checkpoint Homework Homework: Rotational Kinematics And Moment of Inertia Problem Deadline: 100% until Saturday, April 22 at 11:00 PM Ceilin Ceiling Fan Spinn A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the center. The disk has mass md 2.5 kg and radius R 0.23 m. The rods each have mass mr 1.4 kg and length L 0.89 m. 1) What is the moment of inertia of each rod about the axis of rotation? kg-m2 submit 0.369

Explanation / Answer

Q7.

initial angular speed=58.9 rad/s

as rotational energy=0.5*moment of inertia*angular speed^2

and rotational energy is halved, angular speed becomes initial angular speed/sqrt(2)

=41.6486 rad/s

hence final angular speed=41.6486 rad/s

Q8.

initial angular speed=58.9 rad/s

final angular speed=41.6486 rad/s

time taken=3.2 seconds

angular acceleration=(final angular speed-initial angular speed)/time

=-5.391 rad/s^2

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