Two disks are mounted (like a merry-go-round) on low-frictionbearings on the same axle and can be brought together so that theycouple and rotate as on

Josalynn

Josalynn

Answered question

2020-12-15

Two disks are mounted (like a merry-go-round) on low-frictionbearings on the same axle and can be brought together so that theycouple and rotate as one unit. The first disk, withrotational inertia 3.30 about its central axis, is set spinning counterclock wise at 450 rev/min. The second disk, withrotational inertia 6.60 about its central axis, is set spinningcounterclockwise at 900 rev/min. They then couple together. (a.) What is their angular speed aftercoupling? If instead the second disk is set spinningclockwise at 900 rev/min, what are their (b.) angular speed and(c.) direction of rotation after they couple together?

Answer & Explanation

wheezym

wheezym

Skilled2020-12-16Added 103 answers

Two disks are mounted (like a merry-go-round) onlow-friction bearings on the same axle and can be brought togetherso that they couple and rotate as one unit. The first disk,with rotational inertia
(I1=3.30)
about its central axis, isset spinning counterclockwise at
(w1=450 revmin)
The second disk, with rotational inertia
(I2=6.60)
about its central axis, isset spinning counterclockwise at
w1=900revmin
They then coupletogether.
Their angular speed after coupling
w=I1w1+I2w2I1+I2
w=750rev/min
Their angular speed after coupling
w=I1w1+I2w2I1+I2
w=450revmin

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