Question

A solid disk rotates in the horizontal plane at an angular velocity of 0.0665 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.183 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.394 m from the axis. The sand in the ring has a mass of 0.498 kg. After all the sand is in place, what is the angular velocity of the disk?

Name: a solid disk rotates in the horizontal plane at an angular velocity of 00665 rads with respect to an axis perpendicular to the disk at its center the moment of inertia of the disk is 0183 kg 7298
Uploaded: 2022-03-16T16:25:05-08:00
Duration: 2 min 46 s
Channel: Karan Soni
Description: a solid disk rotates in the horizontal plane at an angular velocity of 00665 rads with respect to an axis perpendicular to the disk at its center the moment of inertia of the disk is 0183 kg 7298

          A solid disk rotates in the horizontal plane at an angular
velocity of 0.0665 rad/s with respect to an axis perpendicular to
the disk at its center. The moment of inertia of the disk is 0.183
kg·m2. From above, sand is dropped straight down onto
this rotating disk, so that a thin uniform ring of sand is formed
at a distance of 0.394 m from the axis. The sand in the ring has a
mass of 0.498 kg. After all the sand is in place, what is the
angular velocity of the disk?

Added by Caitlin S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Karan Soni

03/16/2022

Step 1

Given: Initial angular velocity, ω = 0.0665 rad/s Moment of inertia, I = 0.183 kg·m^2 Initial angular momentum, L_initial = I * ω Show more…

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A solid disk rotates in the horizontal plane at an angular velocity of 0.0665 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.183 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.394 m from the axis. The sand in the ring has a mass of 0.498 kg. After all the sand is in place, what is the angular velocity of the disk?