(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A carnival ride spins the riders in a horizontal circle. During the ride the floor falls away from the riders. The average mass of a rider is 110.6 kg and the ride has a radius of 18.2 m. The coefficient of static friction between the riders and the wall is 0.2400. What is the minimum tangential speed the ride must maintain in order to prevent the riders from falling?

m = 110.6 kg

r = 18.2 m

μ_{s}= 0.2400

v = ???

2. Relevant equations

F_{c}= (m*v^{2})/r

F_{c}= m*g

F_{s}= μ_{s}*F_{N}

3. The attempt at a solution

I tried doing this:

1.) Finding F_{N}by multiplying the mass by 9.8.

2.) Plugging this number into F_{s}= μ_{s}*F_{N}

3.) Subtracting F_{s}from F_{N}to get F_{c}after friction had been factored in. (I am unsure of these first few steps.)

4.) Plugging in all currently known variables into the equation F_{c}= (m*v^{2})/r to solve for velocity coming up with 11.643 m/s. However using this method I have been getting these type of questions wrong on my online practice quizzes.

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# Carnival ride problem (horizontal circular motion)

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