Spinning objects A circus performer does a hoop routine with a hoop of mass m and radius r. The tossed hoop is initially spinning in mid-air about its center of mass. (a) Initially, the hoop speed is wo. What is its angular momentum? (b) The hoop is caught by the edge. Assuming the hoop starts spinning about the edge without external torque exerted, what is its new angular speed? The moment of inertia for a hoop caught by the edge is I = 2mr2 (c) A Ferris wheel has a moment of inertia equal to 1*107 kg*m2. What torque must be applied to double its speed in one minute? Let the initial speed be 1 revolution every 5 minutes.

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Spinning objects
A circus performer does a hoop routine with a hoop of mass m and radius r. The
tossed hoop is initially spinning in mid-air about its center of mass.
(a) Initially, the hoop speed is wo. What is its angular momentum?
(b) The hoop is caught by the edge. Assuming the hoop starts spinning about the
edge without external torque exerted, what is its new angular speed? The
moment of inertia for a hoop caught by the edge is I = 2mr2
(c) A Ferris wheel has a moment of inertia equal to 1*107 kg*m2. What torque
must be applied to double its speed in one minute? Let the initial speed be 1
revolution every 5 minutes.
Transcribed Image Text:Spinning objects A circus performer does a hoop routine with a hoop of mass m and radius r. The tossed hoop is initially spinning in mid-air about its center of mass. (a) Initially, the hoop speed is wo. What is its angular momentum? (b) The hoop is caught by the edge. Assuming the hoop starts spinning about the edge without external torque exerted, what is its new angular speed? The moment of inertia for a hoop caught by the edge is I = 2mr2 (c) A Ferris wheel has a moment of inertia equal to 1*107 kg*m2. What torque must be applied to double its speed in one minute? Let the initial speed be 1 revolution every 5 minutes.
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