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tning.cor x search Textbook Solutio × ibiscms/mod/ibis/view.php?id-4363464 6/2017 11:55 PM467/100 ° 10/4/2017 10:46 AM Print Calculator- Periodic Table n 4 of 10 Sapling Learning A lab technician is testing new energy drink formulations on a series of hamsters. The hamsters are given a certain amount of the to poorp diameter of each of their wheels, and the technician's notes are in the table below. Rank the period of rotation of each hamster's wheels, and the speed of each hamster, from highest to lowest and then placed on exercise wheels to observe their energy levels. Due exercise wheel is a different size. The names of the hamsters, the however Wheel Diameter (am) Technician's Notes Name 23.0 16.0 13.0 11.0 2 rotations in 1 s 7 rotations in 6 s 25 rotations in 4 S 8 rotations in 3 s Bohr Dirac Fastest Compton Dirac Bohr Bohr There is a hint available iew the hint by cicking on the divider bar again to hide the Close

Explanation / Answer

We know that the time period is related to angular velocity as:

w = 2 pi/T => T = 2 pi/w

For Archimedes,

w1 = 2 rot/s = 12.57 rad/s

T = 2 x 3.14/12.57 = 0.5 s

T1 = 0.5 s

w2 = 7/6 = 1.17 rot/s = 7.35 rad/s

T2 = 2 x 3.14/7.35 = 0.85 s

T2 = 0.85 s

w3 = 25/4 = 6.25 rot/s = 39.27 rad/s

T3 = 2 x 3.14/39.27 = 0.16 s

w4 = 2.67 rot/s = 16.78 rad/s

T4 = 2 x 3.14/16.78 = 0.37 s

Hence, T1 = 0.5 s; T2 = 0.85 s; T3 = 0.16 s and T4 = 0.37 s

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