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

#1**+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

#3**+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**+2 **

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

ElectricPavlov
Jan 30, 2018