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# A hamster runs in its wheel whose radius is 3 inches. The wheel completes 7.3 revolutions in 6 seconds.

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A hamster runs in its wheel whose radius is 3 inches. The wheel completes 7.3 revolutions in 6 seconds.

What is the linear velocity of the hamster's wheel?

approximately 15.9 inches per second

approximately 22.9 inches per second

approximately 43.8 inches per second

approximately 137.6 inches per second

Apr 2, 2020

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Apr 2, 2020
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thank you!

jjennylove  Apr 2, 2020
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First find the circumference    pi x d   = pi 2r  = pi *6     or   6pi inches

6pi inches  /rev   x   7.3 rev / 6 sec  =    (6pi *7)/6  in/sec  = .......   in/s

Apr 2, 2020
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would it then be 22.9 inchs per second?

jjennylove  Apr 2, 2020
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Good job, Jenny    !!!!

CPhill  Apr 2, 2020
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jjennylove  Apr 2, 2020
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7.3 revs  =  (7.3) *2pi (3)   =    43.8 pi    in =  distance  traveled  in 6  sec

43. 8   pi  /  6  =  7.3 pi    in  = distance traveled in one sec

Linear  velocity /  s  =    distance  traveled  in  1  sec     22.9  in   / sec

Apr 2, 2020
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Awesome! thank you (:

jjennylove  Apr 2, 2020