Question

Version D A frictionless, disc-shaped merry-go-round with a radius of 4.5 m, and a mass of 175 kg is rotating at 4 rpm. A very large child (70 kg) suddenly sits down right on to the edge. After the child has sat down, what is the angular speed of the merry- go-round and child system? (Hint: the moment of inertia for a disc is the same as that of a solid cylinder)

          Version D
A frictionless, disc-shaped merry-go-round with a radius of 4.5 m, and a mass of
175 kg is rotating at 4 rpm. A very large child (70 kg) suddenly sits down right on
to the edge. After the child has sat down, what is the angular speed of the merry-
go-round and child system? (Hint: the moment of inertia for a disc is the same as
that of a solid cylinder)

Version D
A frictionless, disc-shaped merry-go-round with a radius of 4.5 m, and a mass of
175 kg is rotating at 4 rpm. A very large child (70 kg) suddenly sits down right on
to the edge. After the child has sat down, what is the angular speed of the merry-
go-round and child system? (Hint: the moment of inertia for a disc is the same as
that of a solid cylinder)

Added by William H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

07/02/2022

Step 1

The moment of inertia of a solid cylinder is given by I = (1/2) * m * r^2, where m is the mass and r is the radius. Plugging in the values, we get I = (1/2) * 175kg * (4.5m)^2 = 1,978.125 kg*m^2. Show more…

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Version D A frictionless, disc-shaped merry-go-round with a radius of 4.5m, and a mass of 175kg is rotating at 4rpm, A very large child (70kg) suddenly sits down right on to the edge. After the child has sat down.what is the angular speed, of the merrygo-round and child system? (Hint: the moment of inertia for a disc is the same as that of a solid cylinder) Version D A frictionless, disc-shaped merry-go-round with a radius of 4.5 m,and a mass of to the edge. After the child has sat down. what is the angular speed of the merry- go-round and child system? (Hint: the moment of inertia for a disc is the same as that of a solid cylinder)