lyndsayhelvey
lyndsayhelvey lyndsayhelvey
  • 14-12-2019
  • Mathematics
contestada

If a bicycle tire has a radius of 18 inches, how many times will the tire rotate if the bicycle travels for half a mile?​

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mixter17
mixter17 mixter17
  • 27-12-2019

The tire will rotate 280.12 times

Why?

To calculate how many times will the tire rotate, first, we need to convert from miles to inches using the following factor:

[tex]1mile=63360in\\\\0.5mile=31680in[/tex]

Now, calculating the circumference of the wheel, we have:

[tex]C=2*\pi *r=2*\pi *18in=113.1in[/tex]

Then, calculating how many times will the tire rotate, we have:

[tex]Revolutions=\frac{31680in}{113.1in}=280.12[/tex]

Hence, we have that the tire will rotate 280.12 times (280.12 revolutions).

Have a nice day!

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