A wheel on Donna's bicyde is 0.3 min diameter. Donna races the bicycle for 39 m. How many times does the wheel turn as the bicycle travels this distance?

1 Answer
Trevor Ryan.
Dec 20, 2015

#41,38# times

Explanation:

We may first use a relationship formula between linear and angular motion to find the number of radians travelled in the distance of #39m# :
#s=rtheta#
#therefore theta=s/r=39/(0,15)=260 rad#

But from the conversion factor #2pi rad = 360^@ = 1 rev#,
it implies by ratio and proportion that the wheel turns though
#(260)/(2pi)=#41,38revs#

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