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Practice Problems 3 (1)

# Practice Problems 3 (1) - s to a final rate o f3.0 rev/s If...

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Practice Problems # 3 1. A grinding wheel is a uniform cylinder of with a radius of 8.50 cm and a mass of 0.580 kg. Calculate a) its moment of inertia about its center, and b) the applied torque needed to accelerate it from rest to 1500 rpm in 5.0 s if it is known to slow down from 1500 rpm to rest in 55.0 s. 2. A merry-go-round has a mass of 1640 kg and a radius of 7.50 m. How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolutions per 8.00s? Assume it is a solid cylinder. 3. A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 2.0
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Unformatted text preview: s to a final rate o f3.0 rev/s. If her initial moment of inertia was 4.6 kg m 2 , what is her final moment of inertia? 4. Suppose a star the size of our Sun, but with a mass 8.0 times as great, were rotating at a speed of 1.0 revolution every 12 days. If it were to undergo gravitational collapse to a neutron star of radius 11 km, losing three-quarters of its mass in the process, what would its rotation speed by? Assume that the star is a uniform sphere at all times, and that the lost mass carries off no angular momentum....
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