Centripital force - did i do it correctly?

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SUMMARY

The discussion centers on calculating the centripetal force experienced by a rider on The Roundup amusement park ride, which has a diameter of 19.0 meters and rotates every 4.40 seconds. The rider's mass is 59.0 kg. The user initially calculated the centripetal force using the formula Fc = m(V^2) / r, but confusion arose regarding the forces acting on the rider at the top and bottom of the ride. The correct approach involves applying Newton's second law and understanding the role of normal force and gravitational force at different points in the ride.

PREREQUISITES
  • Understanding of centripetal force and acceleration
  • Familiarity with Newton's second law of motion
  • Knowledge of free body diagrams
  • Basic trigonometry for analyzing forces
NEXT STEPS
  • Calculate centripetal acceleration using the formula a = V^2 / r
  • Explore the relationship between speed, radius, and period of rotation
  • Learn about the effects of gravitational force on objects in circular motion
  • Investigate the concept of normal force in different scenarios of circular motion
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of circular motion and forces acting on objects in amusement park rides.

  • #31
yay! thank you so much!
 
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  • #32
oh no , am i doing something wrong.

don't the m's cancel out on both sides. so you get g=V^2 / r
so 9.8= v^2 / 9.5
so v = 9.65
 
  • #33
Good! Now use that to find the the corresponding period.

(The mass canceling just means that the answer does not depend on the mass.)
 
  • #34
i'm sorry i don't know how to do that? isn't a period just 2xpixr or am i thinking of the wrong thing
 
  • #35
The period is the time it takes to go around one complete spin. You have the speed; the distance is one circumference.
 
  • #36
i'm sorry i still do not understand. so i need to multiply the speed (9.65) by the distance (2PiR) ?
 
  • #37
You should know this: Distance = speed X time.
 
  • #38
ooh i see what you are saying. I'm sorry i should have realized that.
 

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