Engineers redesign a car^\'s wheels with the goal of decreasing eachwheel\'s ang
ID: 1671155 • Letter: E
Question
Engineers redesign a car^'s wheels with the goal of decreasing eachwheel's angular momentum by 30percent for a given linear speed for thecar. Other design considerations require that the wheel diameter gofrom 38 kg.m^2, what must be the new wheel^'s rotational inertia ifthe engineers are to achieve their goal?cm.If the old wheel had a rotational inertia of0.36 to 36Explanation / Answer
The angular momentum of each wheel decreased by 30% . So that we have L 2 = ( 1 -0.3)L1 ==> L2 = 0.7L1 We can write angular momentum as L = I So that I2 2 = 0.7 (I11) ==> I2 = 0.7 I1 [ 1 /2 ] = 0.7 I1[ R2 / R1] ( v = R ) = 0.7 I1[ 2R2/ 2R1 ] = 0.7 * 0.36 [ 36 / 38] = 0.2387 kg-m2
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