일반물리학 1 — Rotation: Problem 28

28 In Fig. 10-21, wheel A of radius \(r_A = 10 \text{ cm}\) is coupled by belt B to wheel C of radius \(r_C = 25 \text{ cm}\). The angular speed of wheel A is increased from rest at a constant rate of \(2.0 \text{ rad/s}^2\). Find the time needed for wheel C to reach an angular speed of \(100 \text{ rev/min}\), assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.)