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# Trig Problems

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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.

Jan 30, 2018

#3
+7564
+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

Jan 30, 2018

#1
+18311
+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

Jan 30, 2018
#2
+865
+1

Got the same answer again. Thanks!

#3
+7564
+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
#4
+18311
+2

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

ElectricPavlov  Jan 30, 2018