Abug is on the rim of a 78 rev/min, 12 in. diameter record. the record moves from rest to its final angular speed in 2.67 s. find the bug’s centripetal acceleration 1.5 s after the bug starts from rest. (1 in = 2.54 cm).

6.41m/s2

Explanation:

unit conversion:

78 rev/min = 78rev/min * 2π rad/rev * 1/60 min/sec = 8.168 rad/s

12 in = 12 in * 2.54cm/in = 30.48 cm = 0.3048 m

So the record accelerate from rest to 8.168 rad/s, its (assuming constant) angular acceleration would be

From here we can calculate the angular velocity of the bug at t2 = 1.5s

Its centripetal acceleration would then be