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A wheel 30 cm in radius rotates 4π radians along a road. How far did it travel

 Nov 17, 2014

Best Answer 

 #1
avatar+23254 
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Each rotation of the wheel covers one circumference.

A circumference = 2·Π·r     --->     circumference  =   2·Π·30  =  60Π cm  ≈  188.49556 cm per circumference

How many circumferences are there in 41 radians?

     Since there are 2Π radians in one circumference,

             there will be 41 / (2Π) circumferences  ≈ 6.52535 circumferences

Putting this together, 6.52535 circumferences and each circumference ≈  188.49556 cm

     6.52535 x 188.49556 ≈  1230 cm

 Nov 18, 2014
 #1
avatar+23254 
+5
Best Answer

Each rotation of the wheel covers one circumference.

A circumference = 2·Π·r     --->     circumference  =   2·Π·30  =  60Π cm  ≈  188.49556 cm per circumference

How many circumferences are there in 41 radians?

     Since there are 2Π radians in one circumference,

             there will be 41 / (2Π) circumferences  ≈ 6.52535 circumferences

Putting this together, 6.52535 circumferences and each circumference ≈  188.49556 cm

     6.52535 x 188.49556 ≈  1230 cm

geno3141 Nov 18, 2014

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