A young ballerina spins with an angular velocity ω1 = 1.50 rad/s and a radius of inertia 0.21 m. When the ballerina pulls in her arms, her angular velocity increases to 2,125 rad/s and her moment of inertia decreases to 1,702 kg · m². Calculate her mass if a friction torque of 0.183 N · m acts during the time 1.507s.

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A young ballerina spins with an angular velocity ω1 = 1.50 rad/s and a radius of inertia 0.21 m.

When the ballerina pulls in her arms, her angular velocity increases to 2,125 rad/s and her moment of inertia decreases to 1,702 kg · m². Calculate her mass if a friction torque of 0.183 N · m acts during the time 1.507s. 

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