Map a Sapling Learning macmillan learning A lab technician is testing new energy

Question

Map a Sapling Learning macmillan learning A lab technician is testing new energy drink formulations on a series of hamsters. The hamsters are given a certain amount of the beverage, and then placed on exercise wheels to observe their energy levels. Due to poor planning, however, each exercise wheel is a different size. The names of the hamsters, the 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. Name Wheel Diameter (cm) Technician's Notes Archimedes 14.0 3 rotations in 5 s Bohr 22.0 8 rotations in 3 s 15.0 7 rotations in 5 s Compton 19.0 14 rotations in 5 s Dirac Fastest Longest Period Speed Shortest Slowest Compton Bohr Dirac Archimedes Dirac Compton Archimedes Bohr

Explanation / Answer

period of rotation of hamster's wheels =time taken / number of rotations

for archimedes period= 5/3 = 1.66 seconds

for bohr period = 3/8 = 0.375 seconds

for compton period = 5/7 = 0.714 seconds

for dirac period = 5/14 = 0.357 seconds

the rank of period of rotation is archimedes,compton,bohr,dirac

speed of each hamster is directly proportonal to factor - (diameter of wheel)(number of rotations)/ time

for archimedespeed factor= 14(3)/5 = 8.4

for bohr speed factor = 22(8)/3 = 58.66

for compton speed factor = 15(7)/5 = 21

for dirac speed factor = 19(14)/5 = 53.2

hence rank of speed is bohr,dirac,compton,archimedes

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