A car on a circular track accelerates from rest. (a) Does the car experience onl

Question

A car on a circular track accelerates from rest.
(a) Does the car experience only angular acceleration, only centripetal acceleration, or both angular and centripetal accelerations?
only angular acceleration only centripetal acceleration both angular and centripetal accelerations Correct: Your answer is correct.

Why?
If not, there would not be uniform circular motion.

Score: 0.2 out of 0.2

Comment:

(b) If the radius of the track is 0.40 km and the magnitude of the constant angular acceleration is 3.8 multiplied by 10-3 rad/s2, how long does it take the car to make one lap around the track?
Correct: Your answer is correct. s

(c) What is the total (vector) acceleration of the car when it has completed half of a lap?
Incorrect: Your answer is incorrect. m/s2 r + Correct: Your answer is correct. m/s2 t

Explanation / Answer

a) both angular and centripetal accelerations

b) = t + t^2 /2

there is 2 rad in a loop.

2 = 0 + 3.8 x 10^-3 x t^2 /2

t =57.51 sec

c) time for half loop

= 0 + 3.8 x 10^-3 x t^2 /2

t = 40.66 sec

= t = 0.1545 rad/s

ac = 2 r = 0.15452 x 0.40 x 10^3 = 9.55 m/s2

at = r =  3.8 x 10^-3 x 0.40 x 10^3 = 1.52 m/s2

a = 9.55^2 + 1.52^2 = 9.67 m/s2

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