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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 36

Explanation / 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