A student sits at rest on a piano stool that can rotate without friction. The mo

Question

A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 4.0 kg m2 . A second student tosses a 1.3kg mass with a speed of 2.6 m/s to the student on the stool, who catches it at a distance of 0.40 m from the axis of rotation. What is the resulting angular speed of the student and the stool? omega_f= ______ rad/s A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 4.0 kg m2 . A second student tosses a 1.3kg mass with a speed of 2.6 m/s to the student on the stool, who catches it at a distance of 0.40 m from the axis of rotation. What is the resulting angular speed of the student and the stool? omega_f= ______ rad/s

Explanation / Answer

initial angular momentum = 1.3*2.6*0.4

final angular momentum = (4 + 1.3*0.4^2) * w

final = initial angular momentum

(4 + 1.3*0.4^2) * w = 1.3*2.6*0.4

w = 0.321 rad/s

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