There are four shoes in the centrifugal clutch. The mass of each shoe is \(5 \mathrm{~kg}\). When the clutch is at rest, the force exerted by spring on shoes is \(200 \mathrm{~N}\). The clearance between shoes and drum is \(4 \mathrm{~mm}\). Spring constant is \(25 \mathrm{~N} / \mathrm{mm}\). The distance of the center of mass of shoes from the axis is \(100 \mathrm{~mm}\). The internal diameter of the drum of \(225 \mathrm{~mm}\). The coefficient of friction of the brake lining is 0.3. Find the power transmitted by the clutch at \(500 \mathrm{rpm}\).