Centripetal Force: Calculating Tension in Conical Pendulum

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SUMMARY

The discussion focuses on calculating the tension in a conical pendulum with a string length of 1.2 m and a bob mass of 0.41 kg, positioned at a 21° angle from the vertical. The correct approach involves using the formula T = mlω², where l is the string length and ω is the angular velocity. Participants confirm that drawing a diagram aids in visualizing the forces involved, leading to the conclusion that the tension in the string is 4.30 N when calculated correctly.

PREREQUISITES
  • Understanding of conical pendulum dynamics
  • Familiarity with angular velocity and its calculations
  • Knowledge of gravitational force and its effects on pendulums
  • Ability to interpret and draw free-body diagrams
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  • Study the derivation of tension in conical pendulums using T = mlω²
  • Learn about angular motion and its relationship with linear motion
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  • Investigate real-world applications of conical pendulums in physics
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Physics students, educators, and anyone interested in understanding the mechanics of pendulums and tension calculations in rotational systems.

kingyof2thejring
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Question 1
A conical pendulum consists of a string of length 1.2 m and a bob of mass 0.41 kg. The string makes an angle of 21° with the vertical. Calculate the tension in the string, in N.
iam not sure wat to do here if
l\omega{}^2 = \frac{g}{\cos\phi}
then i use
T=ml\omega{}^2 to get the force. is that the way to calculate the tension. Thanks in advance
 
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kingyof2thejring said:
Question 1
A conical pendulum consists of a string of length 1.2 m and a bob of mass 0.41 kg. The string makes an angle of 21° with the vertical. Calculate the tension in the string, in N.
iam not sure wat to do here if
l\omega{}^2 = \frac{g}{\cos\phi}
then i use
T=ml\omega{}^2 to get the force. is that the way to calculate the tension. Thanks in advance
First draw a diagram. I think you will see the answer when you do that.

(what would the tension be if it were straight down?)
 
Tcos 0 = mg
T=4.30
 

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