6. A 3.45-kg moves with a Apoint located 8.00 cm (0.0800 m) from the axis of rot

Question

6. A 3.45-kg moves with a Apoint located 8.00 cm (0.0800 m) from the axis of rotation of the centrifuge noves with a linear speed of 150.0 m/s when the centrifuge is at full speed. anguar ag centrifuge takes 100.0 s to spin up from rest to its final angular speed with constart t is the angular speed (rad/s) of the centrifuge when it has reached full speed? 6.2. (2 pts) What is the angular acceleration (in rad/s) of the centrifuge as it spins up? 6.3. (1 pts) How many revolutions does the centrifuge make as it goes from rest to its final angular speed? (hint: first find the angular distance traveled [rad] then convert to revolutions)

Explanation / Answer

6.1 w = v / r = 150 / 0.08 =1875 rad/s

6.2 w = w0 + alpha t

1875 = 0 + 100 alpha

alpha = 18.75 rad/s^2

6.3: w^2 - w0^2 = 2 alpha theta

1875^2 - 0^2 = 2(18.75)(theta)

theta = 93750 rad

revolutions = theta / 2pi = 14920 turns

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