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Whiteboards: Motion in a vertical circle 1 | 2 | 3 | 4

Whiteboards: Motion in a vertical circle 1 | 2 | 3 | 4. TOC. What is the maximum radius you can twirl a bucket full of water going 2.3 m/s at the top?. a = v 2 /r 9.81 m/s/s = (2.3 m/s) 2 /r r = 0.539245668 ≈ 0.54 m. 0.54 m.

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Whiteboards: Motion in a vertical circle 1 | 2 | 3 | 4

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  1. Whiteboards: Motion in a vertical circle 1 | 2 | 3 | 4 TOC

  2. What is the maximum radius you can twirl a bucket full of water going 2.3 m/s at the top? a = v2/r 9.81 m/s/s = (2.3 m/s)2/r r = 0.539245668 ≈ 0.54 m 0.54 m

  3. If a roller coaster pulls 2.5 “g”s in a vertical circle, what do you feel at the top of the loop, and at the bottom? (2 answers) Top = 2.5 - 1 = 1.5 “g”s Bottom = 2.5 + 1 = 3.5 “g”s 1.5 “g”s, and 3.5 “g”s

  4. You feel 2.1 “g”s at the bottom of a roller coaster loop. What is the ride “pulling” and what do you feel at the top? Ride pulls one less than what you feel or 1.1 “g”s At the top you would feel one less than that or .1 “g”s 1.1 “g”s and .1 “g”s

  5. What is your centripetal acceleration if at the top of a roller coaster loop you read .75 “g”s? The ride is pulling one more than .75 = 1.75 “g”s 1.75 “g”s

  6. What is your speed at the top of a roller coaster loop if you read .75 “g”s and the loop has a radius of 3.8 m? (1) The ride is pulling one more than .75: 1.75 “g”s a = (1.75)(9.81 m/s/s) = 17.1675 m/s/s a = v2/r 17.1675 m/s/s = v2/(3.8 m) v = 8.076911538 ≈ 8.1 m/s W 8.1 m/s

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