okmarks Window Helu saplinglearning.com 1321 Spring17 HALL: HW: Rotational Motio
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okmarks Window Helu saplinglearning.com 1321 Spring17 HALL: HW: Rotational Motion Grade 4/24/2017 06:00 PM 8.3/100 4/17/2017 o 3:12 PM Print Calculator Periodic Table A Sapling Learning The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius m and mass 4.51 kg, and two thin crossed of mass 7 B0 kg each. You would like to replace the wheels with uniform that are made of a material with a density of5990 kilograms per cubic new wheel to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? 0.0588 m Incorrect. o Previous ® Give up s view solution a Try Again o Next HExit about us careers partners privacy policy terms of use contact us MacBook ProExplanation / Answer
Find moment of inertia of current wheel.
I = (M)(rh)² + 2[(1/12)(m)(2 rh)²]
I = (M)(rh)² + (2/3)(m)(rh)²
I = (rh)²[M + (2/3)(m)]
I = (0.156 m)²[4.51 kg + (2/3)(7.80 kg)]
I = 0.2363 kg-m²
New disc wheel:
I = (1/2)(md)(rd)²
(md) = (d)()(h)(rd)²
(md) = (5990 kg/m³)()(0.0588 m)(rd)²
(md) = (1106.50 kg/m²)(rd)²
0.236 kg-m² = (1/2)(1106.50 kg/m²)(rd)^4
(rd) = 0.144 m
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