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choli [55]
3 years ago
11

The diameter of each wheel of a bicycle is 26 inches. If you traveling at a speed of 35 miles per hour on this bicycle, through

how many revolutions per minute are the wheels turning?
Mathematics
1 answer:
krek1111 [17]3 years ago
7 0

Answer:

  452.49 rev/min

Step-by-step explanation:

The circumference of the wheel is pi times the diameter. The rest is units conversion.

35\dfrac{mi}{h}=\dfrac{35\,mi}{1\,h}\cdot\dfrac{1\,h}{60\,min}\cdot\dfrac{5280\,ft}{1\,mi}\cdot\dfrac{12\,in}{1\,ft}\cdot\dfrac{1\,rev}{26\pi\,in}\\\\=\dfrac{35\cdot 5280\cdot 12}{60\cdot 26\pi}\cdot\dfrac{rev}{min}\approx\dfrac{452.49\,rev}{min}

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Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process.  First, convert the whole number "9" into a fraction by giving it a denominator of "1".  It should look like 9/1.  Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.

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