A carousel at a carnival has a diameter of 6.0 m. The ride starts from rest and accelerates at a constant angular acceleration to an angular speed of 0.7 rev/s in 8.8 s.

Question

(a) What is the value of the angular acceleration?
1 0.499 rad/s^2

(b) What are the centripetal and angular accelerations of a seat on the carousel that is 2.40 m from the rotation axis?
ac =
á = 0.499 rad/s^2
I got angular accelaration correct but keep getting centripetal acceleration incorrect.....help!!

Answer 1

Given: 0.7rev/s, t = 8.8s, Dia. = 6.0m.

C = pi*D = 3.14*6 = 18.84m.

V = 0.7rev/s * 6.28rad/rev = 4.4rad/s.

a. (Vf - Vo) / t,
a = (4.4 - 0) / 8.8 = 0.5rad/s^2.