Auniform solid sphere of mass m and radius r rotates with an angular speed ω about an axis through its center. a uniform solid cylinder of mass m, radius r, and length 2r rotates through an axis running through the central axis of the cylinder. what must be the angular speed of the cylinder so it will have the same rotational kinetic energy as the sphere?

Explanation:

Rotational inertia of uniform solid sphere is given as

now we have its angular speed given as

angular speed =

now we have its final rotational kinetic energy as

now the rotational inertia of solid cylinder about its axis is given by

now let say its angular speed is given as

angular speed =

now its rotational kinetic energy is given by

now if rotational kinetic energy of solid sphere is same as rotational kinetic energy of solid sphere then

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get

muscle endurance

explanation:

i can do 50 in a row ( but i get so tired after that)