Phys410 Ho rk-Ch 03-2D&3D Motion 18 Phys410 Homework Ch 03-2D&3D Motion diameter

Question

Phys410 Ho rk-Ch 03-2D&3D Motion 18 Phys410 Homework Ch 03-2D&3D Motion diameter of 100 m. It has 60 arms, each of which moves at the speed of a clock's second hand (thus the name), so the wheel makes one revolution every 60 seconds. At this rate... a) What is the period of the motion? b) What is the frequency of the motion? c) What is the linear speed of the passengers? d) What is the centripetal acceleration for a passenger? 12) Uniform Circular Motion: The Cosmocock 21 Ferris wheel in Yokohama City, Japan, has a

Explanation / Answer

a] Period T = 60s

b] frequency f = 1/T = 1/60 = 0.01667 Hz

c] linear speed v = 2pi r / T = pi*100/60 = 5.236 m/s

d] centripetal accelerations a = v^2/r = 5.236^2/50 = 0.5483 m/s^2

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