Question Detail
Question
A rope is wrapped around a circular drum of radius 12 cm. To lift a bucket a vertical distance of 5 m, what total angular displacement (in radians) must the drum undergo?
Correct Answer
Option B is the correct answer.
Detailed Explanation
The rope unwinds a length s equal to the bucket's lift, 5 m. Using s = rθ, we first convert radius to meters: r = 0.12 m. Then, θ = s / r = 5 m / 0.12 m = 41.666... rad.
Hint
The linear distance the bucket travels is equal to the arc length unwound from the drum. Ensure all units are consistent (meters) before calculating.