Map a Sapling Learning macmillan learning A lab technician is testing new energy
ID: 1606169 • Letter: M
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 BohrExplanation / 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