A uniform wheel in the shape of a solid disk is mounted on a frictionless axle at its center. The wheel has mass $5\mathrm{.}00$ kgkg and radius $0\mathrm{.}800$ mm$.$ A thin rope is wrapped around the wheel, and a block is suspended from the free end of the rope. The system is released from rest and the block moves downward.

Part A

What is the mass of the block if the wheel turns through $8\mathrm{.}00$ revolutions in the first $5\mathrm{.}00$ ss after the block is released?

Express your answer with the appropriate units.

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