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Given a mass of 380 grams, and a rotational speed 180 rpm, calculate the maximum rotational kinetic energy for the following three shapes: a disk, a sphere and a thin rod. Both, the disk and the sphere have a radius of 20 cm, and the length of the thin rod is 40 cm. Axis Axis Annular cylinder (or ring) about cylinder axis Hoop about cylinder axis I = MR² 1- M(Ri + R) Axis Solid cylinder (or disk) about cylinder axis Axis Solid cylinder (or disk) about central diameter I = MR2 MR + M 12 Axis Axis Thin rod about axis through center 1 to length Thin rod about axis through one end I to length I= Me2 12 M² 3 Axis Axis Solid sphere about any diameter Thin 2R spherical shell about any diameter 2R 2MR? 5 1- 2MR² Axis Slab about I axis through center Axis R Hoop about any diameter 1 =ME2 MR2 a M(a² + ba)

Given a mass of 380 grams, and a rotational speed 180 rpm, calculate the maximum rotational kinetic energy for the following three shapes: a disk, a sphere and a thin rod. Both, the disk and the sphere have a radius of 20 cm, and the length of the thin rod is 40 cm. Axis Axis Annular cylinder (or ring) about cylinder axis Hoop about cylinder axis I = MR² 1- M(Ri + R) Axis Solid cylinder (or disk) about cylinder axis Axis Solid cylinder (or disk) about central diameter I = MR2 MR + M 12 Axis Axis Thin rod about axis through center 1 to length Thin rod about axis through one end I to length I= Me2 12 M² 3 Axis Axis Solid sphere about any diameter Thin 2R spherical shell about any diameter 2R 2MR? 5 1- 2MR² Axis Slab about I axis through center Axis R Hoop about any diameter 1 =ME2 MR2 a M(a² + ba)

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Given a mass of 380 grams, and a rotational speed 180 rpm, calculate the maximum rotational kinetic energy for the following three shapes: a disk, a sphere and a thin rod. Both, the disk and the sphere have a radius of 20 cm, and the length of the thin rod is 40 cm. Axis Axis Hoop about cylinder axis Annular cylinder (or ring) about cylinder axis I = MR² ( + R) Axis Axis Solid cylinder (or disk) about cylinder axis Solid cylinder (or disk) about central diameter I = MR2 2 MR + Me? 12 Axis Axis Thin rod about axis through Thin rod about axis through one end I to length center 1 to length I = Me²2 12 M² 3' Axis Axis Thin Solid sphere about any diameter 2R 2R spherical shell about any diameter 2MR? I = 2MR Axis Axis Slab about I axis through Hoop about any diameter R center 1 =MA2 M (a² + b2) x 12
Transcribed Image Text:Given a mass of 380 grams, and a rotational speed 180 rpm, calculate the maximum rotational kinetic energy for the following three shapes: a disk, a sphere and a thin rod. Both, the disk and the sphere have a radius of 20 cm, and the length of the thin rod is 40 cm. Axis Axis Hoop about cylinder axis Annular cylinder (or ring) about cylinder axis I = MR² ( + R) Axis Axis Solid cylinder (or disk) about cylinder axis Solid cylinder (or disk) about central diameter I = MR2 2 MR + Me? 12 Axis Axis Thin rod about axis through Thin rod about axis through one end I to length center 1 to length I = Me²2 12 M² 3' Axis Axis Thin Solid sphere about any diameter 2R 2R spherical shell about any diameter 2MR? I = 2MR Axis Axis Slab about I axis through Hoop about any diameter R center 1 =MA2 M (a² + b2) x 12
If the same mass is shaped as a hoop with a radius of 20 cm, would be the rotational kinetic energy greater, or smaller than the kinetic energies calculated for the other 3 shapes?
Transcribed Image Text:If the same mass is shaped as a hoop with a radius of 20 cm, would be the rotational kinetic energy greater, or smaller than the kinetic energies calculated for the other 3 shapes?
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