A biker is pedaling at an angular velocity ω0. The radius of
the main disk is 15cm. The main disk is connected
through a belt to a smaller disk of 5cm diameter which is
attached to the back wheel of the bike. The radius of the
bike’s wheel is 50cm.
Assuming that there is no slipping of any of the wheels or
disks.
a) What is the linear speed of the bike?
b) If the biker tries to stop by applying the breaks gently
causing the wheels to decelerate with an angular
deceleration α, how long will take him to stop?
c) If the biker applies the breaks suddenly stopping the
wheels rotation at once, how long will it take the bike to
stop if the kinetic friction coefficient between the wheels
and the road is μk?
the main disk is 15cm. The main disk is connected
through a belt to a smaller disk of 5cm diameter which is
attached to the back wheel of the bike. The radius of the
bike’s wheel is 50cm.
Assuming that there is no slipping of any of the wheels or
disks.
a) What is the linear speed of the bike?
b) If the biker tries to stop by applying the breaks gently
causing the wheels to decelerate with an angular
deceleration α, how long will take him to stop?
c) If the biker applies the breaks suddenly stopping the
wheels rotation at once, how long will it take the bike to
stop if the kinetic friction coefficient between the wheels
and the road is μk?