Problem 1 A kugel fountain, also known as a floating sphere fountain, is a sculpture that suspends a large, typically stone, sphere on a thin surface of water. One of three in Columbus is on campus in the Chadwick Arboretum on the corner of Lane Ave. and Olentangy. Kugel fountains have very little friction between the stone sphere and the hollow in which they sit, so it takes very little torque to start one moving from rest. (A) The kugel fountain in the Richard and Annette Bloch Cancer Survivor’s Plaza in the Lane Ave Gardens has a granite sphere with a mass of approximately 1,800 kg, and a radius of about half a meter. You use your hand to apply a tangential force on the sphere to start it rotating from rest, and it takes 12 seconds to complete a quarter revolution. What is the average torque you applied to the sphere? (B) What is the average magnitude of the tangential force you applied? (C) Let’s consider if your answer is a reasonable amount of force for a person to exert. How does this compare to the weight of a cellphone?

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1 A kugel fountain, also known as a floating sphere fountain, is a sculpture that suspends a large, typically stone, sphere on a thin surface of water. One of three in Columbus is on campus in the Chadwick Arboretum on the corner of Lane Ave. and Olentangy. Kugel fountains have very little friction between the stone sphere and the hollow in which they sit, so it takes very little torque to start one moving from rest. (A) The kugel fountain in the Richard and Annette Bloch Cancer Survivor’s Plaza in the Lane Ave Gardens has a granite sphere with a mass of approximately 1,800 kg, and a radius of about half a meter. You use your hand to apply a tangential force on the sphere to start it rotating from rest, and it takes 12 seconds to complete a quarter revolution. What is the average torque you applied to the sphere? (B) What is the average magnitude of the tangential force you applied? (C) Let’s consider if your answer is a reasonable amount of force for a person to exert. How does this compare to the weight of a cellphone? (D) How much torque is exerted by gravity about the sphere’s center of mass?
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