Suppose the Centripetal Acceleration of a Particle Moving in a Circle

question 6

Multiple Choice

Suppose the centripetal acceleration of a particle moving in a circle is , where v is the velocity and r is the radius of the circle. Approximate the maximum percent error in measuring the acceleration due to errors of 4% in v and 2% in r.

• A) 11%
• B) 16%
• C) 10%
• D) 21%
• E) 13%

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Definitions:

Limestone

A sedimentary rock composed mainly of calcium carbonate, typically formed from the skeletal fragments of marine organisms.

Shales

Fine-grained sedimentary rocks that can split into thin, parallel layers, composed mainly of clay minerals.

Siltstones

Fine-grained sedimentary rocks that consist predominantly of silt particles, smaller than sand grains but larger than clay, often formed in quiet water environments.

Lime Muds

Fine-grained sediments composed largely of calcium carbonate, typically formed in marine environments where organisms such as coral or foraminifera are prevalent.