Question #318145

A 2kg pulley with a 0.25m radius with a rotational inertia of (1/2)(mr^2) is connected to a 16kg bucket of water. The pulley has an initial clockwise angular velocity of 12rad/s. Calculate the maximum height that the bucket will reach. Calculate the angular acceleration on the bucket.


1
Expert's answer
2022-03-26T15:31:48-0400

Iω22=m2gh,\frac{I\omega^2}2=m_2gh,

h=m1r2ω24m2g=2.9 cm,h=\frac{m_1r^2\omega^2}{4m_2g}=2.9~cm,

ε=ω22h=2500 rads2.\varepsilon=\frac{\omega^2}{2h}=2500~\frac{rad}{s^2}.


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