Linear Speed and Circular Motion Problem

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SUMMARY

The discussion centers on a physics problem involving an air puck tied to a string, revolving in a circular path with a circumference of 2π. The mass of 1 kg is suspended, and the problem requires calculating the force maintaining the circular motion (Fc) and the linear speed of the puck (vt). Key equations include Fc = m*(vt^2) / r and vt = r*w, where 'w' represents angular speed. The user struggles to find the necessary variables to solve for Fc and vt, indicating a need for clarity on angular motion and equilibrium conditions.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Familiarity with Newton's laws of motion
  • Knowledge of angular velocity and linear velocity relationships
  • Basic algebra for solving equations
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  • Study the concepts of centripetal force and its applications in circular motion
  • Learn how to derive angular velocity from linear speed in circular motion
  • Explore examples of equilibrium in systems involving tension and circular motion
  • Practice solving problems using Newton's laws in dynamic systems
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This discussion is beneficial for physics students, educators, and anyone interested in mastering concepts of circular motion and dynamics in mechanical systems.

Cheapo2004
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Ok, I am having a hard time figuring this problem out for two reasons, the first is that my teacher is very tricky, 2nd is that I'm not sure how to work it out.

An air puck is tied to a string and allowed to revolve in a circle with circumference if 2pi. The other end of the string passes through a hole in the center of the surface and a mass of 1kg is tied to it. If the suspended mass remains in equilibrium..
A) What is the magnitude of the force that maintains the circular path
B) What is the linear speed of the puck

So, what I got out of this question is:
2pi*r = cir... so r=1
m = 1kg

So, with the information given, we need to find Fc (force that maintains circular path). The equations i have to find this are:

Fc = m*(vt^2) / r
Fc = m*r*(w^2)
(w meaning angular speed)

So, for either equation i need to find w, or vt. The equations i have for these are:

vt = r*w
w = Delta Theta / Delta T

So by moving from equation to equation I'm still missing 2 variables, I can't figure it out

Any help is appreciated!
 
Physics news on Phys.org
Use Newton III for A.
 
Päällikkö said:
Use Newton III for A.
...? Newton's 3rd law...?
 

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