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The wheels on Annie's bicycle are $20$ inches in diameter. If each wheel makes $3$ full revolutions every second, then how many feet does Annie travel in $1$ second? Give your answer as an integer, rounded
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Oct 5, 2019
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The wheels on Annie's bicycle are $20$ inches in diameter. If each wheel makes $3$ full revolutions every second, then how many feet does Annie travel in $1$ second? Give your answer as an integer, rounded to the nearest foot.
Mathematics
high-school
Tharif
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we have that
diameter=20 in---------------> r=d/2--------> 20/2---------> r=10 in
[length of a circumference]=2*pi*r-------> 2*pi*10-------> 20*pi in
we know that
1 revolution----------------> 20*pi in
3 revolutions (one second)----------------> X
X=3*20*pi---------> X=60*pi in ( this is in one second)
1 foot--------------> is equal to 12 in
X-----------------> 60*pi in
X=60*pi/12--------> 5*pi ft------------> 15.708 ft---------> 16 ft (in one second)
the answer is
16 ft/sec
Sameh Deabes
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Oct 10, 2019
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Sameh Deabes
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