Physics problem help? need help please!!

Posted on 2016-09-23 18:32:00 in Physics by CARILE

1. Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen in the figure. To be stable, the force exerted by the ground must be on a line going through the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular components—friction parallel to the road (this supplies the centripetal force), and the vertical normal force (which must equal the system’s weight). Calculate theta for a 11 m/s turn of radius 27m (as in a race) in degrees. 

2. NASA scientists contend that using rotating cylindrical shuttle to replicate gravity while in a weightless environment. Consider such a shuttle that has a diameter of 63 m. What is the speed v in m/s the shuttle must rotate at its outer edge to replicate the force of gravity on earth? At what rate in rpm is the station rotating? 

3. A runner runs around a circular track. He completes one lap at a time of 205 s at a constant speed of v=4.5 m/s. What is the radius, r in meters, of the track? What was the runner's centripetal acceleration, ac in m/s, during the run?

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