Question 3: A Ferris wheel with radius of 14.0 m is turning about a horizontal a

Question

Question 3: A Ferris wheel with radius of 14.0 m is turning about a horizontal axis through its (a) What are the magnitude and direction of the passenger's acceleration as she passes through (i) the (b) How much time does it take the Ferris wheel to make one revolution? center. The linear speed of a passenger on the rim is constant and equal to 7.00m/s. lowest point in the circular motion; (ii) the highest point in the circular motion; and (ii) the point halfway between the highest and the lowest point?

Explanation / Answer

Given,

r = 14 m ; v = 7 m/s

(a)The acceleration here is the cebtripital acceleration and is same for all the points

for all (i, ii, iii)

a = v^2/R = 7^2/14 = 3.5 m/s^2

Hence, a = 3.5 m/s^2

b)we know that,

s = d/t => t = d/s

d = 2 pi R = 2 x 3.14 x 14 = 87.92 m

t = 87.92/7 = 12.56 s

Hence, t = 12.56 s

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