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Theflywheelis a uniformly thick disk with a radius of 1.53 m and amassof 18.6 kg. It is spinning counterclockwise at a rate of 263 rpm.To calculate theangular velocityof the flywheel, we need to convert the rpm to radians per second. We know that 1 revolution is equal to 2π radians, so we can convert the rpm to radians per minute by multiplying by 2π. Then, we divide by 60 to convert minutes to seconds.Angular velocity (ω) = (263 rpm) * (2π rad/1 revolution) * (1 revolution/60 seconds) = 8.716 radians/secondThe kinetic energy of the flywheel can be calculated using the formula:Kinetic energy= 0.5 * moment of inertia * angular velocity^2The moment of inertia (I) of a uniformly thick disk is given by:I = 0.5 * mass * radius^2Substituting the values into the formula, we get:Kinetic energy = 0.5 * (0.5 * mass * radius^2) * (angular velocity)^2Kinetic energy = 0.5 * (0.5 * 18.6 kg * (1.53 m)^2) * (8.716 radians/second)^2Calculating this expression will give you the answer in joules.The flywheel is a uniformly thick disk with a radius of 1.53 m and a mass of 18.6 kg, spinningcounterclockwiseat 263 rpm. Its angular velocity is 8.716 radians/second, and the kinetic energy can be calculated using the formula provided.To know more aboutKinetic energy, visit:brainly.com/question/999862#SPJ11...