1-Fall15 . GIANNOTT1 Activities and Due Dates HW: Rotational Kinematics D 11/1/2

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1-Fall15 . GIANNOTT1 Activities and Due Dates HW: Rotational Kinematics D 11/1/2015 11:55 PM O 82.7/100 () 10/27/2015 10:31 PM PrintCalculator Periodic Table Gr Question 14 of 15 Map A sphere of radius 2.59 cm and a spherical shell of radius 8.72 are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the sphere's angular speed to the spherical shell's angular speed be? Number sph Tools #101 Previous > Give Up & View Solution Check Answer Next Exit about us careers partners privacy policy terms of use roblems rotations (3).pdf Problems rotations (2) pdf . I Problems rotations (1)pdf Ch14, Brain & Cran

Explanation / Answer

total kinetic energy is 0.5*I*w^2

for sphere Is = (2/5)*m*R1^2

for shell Ih = (2/3)*m*R2^2

Given that

0.5*Is*ws^2 = 0.5*Ih*wh^2

(2/5)*m*R1^2*ws^2 = (2/3)*m*R2^2*wh^2

Ws/wh = (R2/R1)*sqrt(5/3) = (8.72/2.59)*sqrt(5/3) = 4.4

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