The answer is E, but please show how to get to that answer. Thank you in advance

Question

The answer is E, but please show how to get to that answer. Thank you in advance

5.) [2 points] A Ferris wheel has a radius of 5.0m and makes one revolution every 8.0s while moving in uniform circular motion. A person who normally weighs (has an actual weight of) 670N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (the normal force exerted on her by the bench) as she passes through the lowest point of her circular motion? a.) 670N b.) 590N c.) 810N d.) 980N e.) none of these

Explanation / Answer

R = 5 m

T = 8 = 1/f

f = 1/T = 0.125 hz

w = 2*pi*f

= 2*pi*0.125

= 0.7854 rad/s

Normal force at bottom of point of ride = mg - Fc

= 670 + (670/g)w^2R

= 670 + (670/9.81*(0.7854)^2*(5))  

= 880 N answer

Option E is correct

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