What Is the Apparent Weight of a Person at the Bottom of a Ferris Wheel?

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SUMMARY

The apparent weight of a person at the bottom of a Ferris wheel can be calculated using the formula N = mg + mv²/r, where N is the normal force (apparent weight), m is the mass of the person, g is the acceleration due to gravity (9.8 m/s²), v is the tangential velocity, and r is the radius of the Ferris wheel (50 m). The tangential velocity was determined to be 22.1 m/s, leading to a rotation period of 14.2 seconds for one complete revolution. The apparent weight at the bottom is the sum of the gravitational force and the centripetal force acting on the person.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal acceleration and forces
  • Knowledge of basic algebra for solving equations
  • Ability to apply kinematic equations in circular motion
NEXT STEPS
  • Study the derivation of centripetal acceleration formulas
  • Learn about forces acting on objects in circular motion
  • Explore the concept of apparent weight in different gravitational contexts
  • Investigate the effects of varying radius and speed on apparent weight
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples of forces in action.

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Homework Statement



So if a person's apparent weight at the top of a ferris wheel is 0N find the time it takes the ferris wheel to make on rotation.

Then find the apparent weight of a person at the bottom of the ferris wheel for the same person on the same ferris wheel?

Homework Equations



a=v2/r

v=2pi(r)/T

The Attempt at a Solution



So to find the time i did the following.

a=9.8 m/s2
r=50m

9.8=v2/50
v=22.1 m/s

22.1=2pi(50)/T

T=14.2 seconds

Now i am not sure what to do to find the apparent weight of the person when he or she is at the bottom of the ferris wheel. I know i have all the information i need i just am having a little trouble starting :(

I know...

N - mg = m v^2 / r

N = mg + m v^2 / r

but i am not sure how to use these to find the apparent weight...

Can someone give me a little push please :)

Thank you
 
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never mind i got it. It was for the same passenger as used in earlier parts of the problem so i already know his true weight and therefore his mass which allowed me to find his apparent weight at the bottom :)
 

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