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avatar+771 

A bicyclist's wheel is traveling at 250 revolutions per minute. If the bicycle tire has a diameter of 29 inches, what is the bicyclist's speed in miles per hour?

 

I got 43.14 mph. Let me know if that seems right.

AdamTaurus  Jan 30, 2018

Best Answer 

 #3
avatar+7096 
+3

Wait a minute!! The diameter is  29  inches, not the radius.

 

250 * 29π  inches / 1 minute

 

=   7250π  inches / 1 minute

 

=   7250π inches / (1/60 hours)

 

=   (7250π / 63360 miles) / (1/60 hours)

 

=   7250π / 1056 miles per hour

 

≈   21.569  miles per hour

hectictar  Jan 30, 2018
 #1
avatar+12561 
+1

250 rot/min x pi x 2r = distance / min

250 x pi x 2 x 29 = 45553.093  in/min

in/min x  60 min/hr  x  1 ft/ 12 in x 1mi/5280ft = 43.137 m/hr

ElectricPavlov  Jan 30, 2018
 #2
avatar+771 
+1

Got the same answer again. Thanks!

AdamTaurus  Jan 30, 2018
 #3
avatar+7096 
+3
Best Answer

Wait a minute!! The diameter is  29  inches, not the radius.

 

250 * 29π  inches / 1 minute

 

=   7250π  inches / 1 minute

 

=   7250π inches / (1/60 hours)

 

=   (7250π / 63360 miles) / (1/60 hours)

 

=   7250π / 1056 miles per hour

 

≈   21.569  miles per hour

hectictar  Jan 30, 2018
 #4
avatar+12561 
+2

Agree with Hectictar !     Diameter is given in this question ....radius was in the last question !        Good catch Hec !

ElectricPavlov  Jan 30, 2018

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