For the esit ramp if atypical car rounds it at a R-100.0m) radius and a speed of
ID: 3279118 • Letter: F
Question
For the esit ramp if atypical car rounds it at a R-100.0m) radius and a speed of 15ms a) Find the angle at which the curve should be banked bFind the necessary cestripetal acceleration on this banked curve so the car won't slip dows or slide up he inclise F,Fe-ma (10 points) (a) What is the tangestial scceleration of bug on the rim of a5om radis disk it the diskfrm rest to an angslar speed of 31.4 radis in 3.0s7 020 points 0) Whes the disk io at its fimal speed, what is the tangential velocity of the beg c) Ose second after the bug starts from rest hat are its tangetial acceleration cestripetal d) Throagh what angle dos the dine turewhile coming aop to speed of 20 adis? "- Variable Velocity TimeExplanation / Answer
5a ] angle of banking is given by :
theta = arctan(v^2/rg)
= arctan(15^2/(100*9.8))
=12.93 degree
b] centripetal acceleration, ac = v^2/r
= 15^2/100
= 2.25 m/s^2
6a] a = r*alpha
= r dw/dt
= 0.05*31.4/3
= 0.523 m/s^2
b] v = wr
= 31.4*0.05
= 1.57 m/s