Physics, any help is welcome!!?
Suppose you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 10.3 rad/s. The wheel has a radius of 0.418 m. If you ride the bike for 37.6 min, how far would you have gone if the bike could move?
9.71 km
The wheel is rotating at 10.3 rad/s and there are 2pi radians in one revolution. This means that the wheel is revolving (10.3 rad/(2 x pi) rad/rev) = 5.15/pi revolutions per second. Since there are 60 seconds in one minute ans you bike for 37.6 minutes, this is (37.6 min x 60 s/min) = 2256 seconds.
The bike wheel has a radius of 0.418m. The circumfrence of the wheel is found by taking 2xpixradius=2xpix0.418m=0.836pi meters. This means that there are 0.836pi m/revolution. So, you would have gone 0.836pi m/rev x 5.15/pi revolutions = 4.3054 meters every second.
Since you biked for 2256 seconds, this is a total of
4.3054 m/s x 2256 s = 9713m. To the correct number of significant figures, this should be 9.71 km.
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