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23 Nov 2019
The drive train of a bicycle has wheels 67.3 cm in diameter andpedal cranks 17.5 cm long. The cyclist pedals at a steady angularrate of 72.0 rev/min. The chain engages with a front sprocket 15.2cm in diameter and a rear sprocket 6.25 cm in diameter.
Calculate the speed of the bicycle relative to the road.
I know the speed of a link on the chain relative to the bike frameis 1.3195m/s, but I cannot figure out where to go from here. I'vetried finding angular speed of the bike wheels by (v/r)=w where Iused 1.3195 m/s for v and .3365 m for the radius of the wheel. Anyhelp would be greatly appreciated.
The drive train of a bicycle has wheels 67.3 cm in diameter andpedal cranks 17.5 cm long. The cyclist pedals at a steady angularrate of 72.0 rev/min. The chain engages with a front sprocket 15.2cm in diameter and a rear sprocket 6.25 cm in diameter.
Calculate the speed of the bicycle relative to the road.
I know the speed of a link on the chain relative to the bike frameis 1.3195m/s, but I cannot figure out where to go from here. I'vetried finding angular speed of the bike wheels by (v/r)=w where Iused 1.3195 m/s for v and .3365 m for the radius of the wheel. Anyhelp would be greatly appreciated.
Irving HeathcoteLv2
1 Mar 2019
