4) You are testing a new tire material with exceptional friction properties. You are testing it by driving around a circular track with radius R. The friction is providing the centripetal accelerati ac; your new tires can provide a maximum ac,max. You are driving on the track, for parts a.-c. y are driving with constant speed v₁; for d. and e. you are accelerating with a constant tangential acceleration at. a. Driving with vt, what is your centripetal acceleration; and what is your angular velocity? b. What are the maximum safe tangential and angular speed? At this speed, how long do it take to drive q full circles? c. Now you are accelerating with at from rest. What is your angular acceleration? What a your tangential and angular speeds after one full circle? d. Where on the circle are you reaching ac,max? e. If R = 50 m, a, = 5 ms2, ac,max = 25 ms2, what is the numerical answer to d.?

4) You are testing a new tire material with exceptional friction properties. You are testing it by driving around a circular track with radius R. The friction is providing the centripetal accelerati ac; your new tires can provide a maximum ac,max. You are driving on the track, for parts a.-c. y are driving with constant speed v₁; for d. and e. you are accelerating with a constant tangential acceleration at. a. Driving with vt, what is your centripetal acceleration; and what is your angular velocity? b. What are the maximum safe tangential and angular speed? At this speed, how long do it take to drive q full circles? c. Now you are accelerating with at from rest. What is your angular acceleration? What a your tangential and angular speeds after one full circle? d. Where on the circle are you reaching ac,max? e. If R = 50 m, a, = 5 ms2, ac,max = 25 ms2, what is the numerical answer to d.?