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Two metal disks, one with radiusR 1 = 4.67 cm and mass M 1 = 0.74 kgand the othe

ID: 1678125 • Letter: T

Question

Two metal disks, one with radiusR1 = 4.67 cm and mass M1 = 0.74 kgand the other with radius R2 = 5.20 cm and massM2 = 1.89 kg, are welded together and mounted on africtionless axis through their common center. What is the totalmoment of inertia of the two disks? Give your answer inkg*m2 in scientific notation three significantdigits. (i.e. 1.14*10^32).
Two metal disks, one with radiusR1 = 4.67 cm and mass M1 = 0.74 kgand the other with radius R2 = 5.20 cm and massM2 = 1.89 kg, are welded together and mounted on africtionless axis through their common center. What is the totalmoment of inertia of the two disks? Give your answer inkg*m2 in scientific notation three significantdigits. (i.e. 1.14*10^32).

Explanation / Answer

Moment of inertia 1 st disk I1 = ( 1/ 2) M1 * R1^ 2

                                                = 0.5 * 0.74 kg * ( 0.0467m ) ^ 2

                                                = 8.0692* 10^-4 kg m^ 2

Moment of inertia 2nd disk I2 = ( 1/ 2) M2 *R2^ 2

                                                =0.5 * 1.89 kg * ( 0.052m ) ^ 2

                                                =2.555* 10^-3 kg m^ 2

Total moment of inertia I = I1 + I2 = 3.3622*10^-3 kg m^2

                                          = 3/36* 10 ^ -3 kg m^ 2

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