give the relation between rotational kinetic energy and translational kinetic enegy?

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Solution

the rotational kinetic energy is given as
E_r = (1/2)Iw²
and
translational kinetic energy is given as
Et = (1/2).m.v²
here
I = mr² and w = v/r
so,
E_r = (1/2).mr².(v²/r²)
or
E_r = (1/2).m.v2 = E_t
thus, the ratio will be
E_r : E_t = 1:1

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give the relation between rotational kinetic energy and translational kinetic enegy?

the rotational kinetic energy is given asEr = (1/2)Iw2 andtranslational kinetic energy is given asEt = (1/2).m.v2hereI = mr2 and w = v/rso,Er = (1/2).mr2.(v2/r2)orEr = (1/2).m.v2 = Etthus, the ratio will beEr : Et = 1:1

the rotational kinetic energy is given as
E_r = (1/2)Iw²
and
translational kinetic energy is given as
Et = (1/2).m.v²
here
I = mr² and w = v/r
so,
E_r = (1/2).mr².(v²/r²)
or
E_r = (1/2).m.v2 = E_t
thus, the ratio will be
E_r : E_t = 1:1