3. Consider a bucket of radius R that is hanging from a rope. The rope is twisted so that the bucket is spinning with a constant angular velocity o about the rope, which defines a vertical axis through the center of the bucket. Write an equation which describes the shape of the surface of the water in the bucket as a function of r, the distance from the center of the bucket.
3. Consider a bucket of radius R that is hanging from a rope. The rope is twisted so that the bucket is spinning with a constant angular velocity o about the rope, which defines a vertical axis through the center of the bucket. Write an equation which describes the shape of the surface of the water in the bucket as a function of r, the distance from the center of the bucket.
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Transcribed Image Text:3. Consider a bucket of radius R that is hanging from a rope. The rope is twisted so
that the bucket is spinning with a constant angular velocity o about the rope,
which defines a vertical axis through the center of the bucket. Write an equation
which describes the shape of the surface of the water in the bucket as a function of
r, the distance from the center of the bucket.
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