Centripetal Force: Calculating Tension in Conical Pendulum

AI Thread Summary
To calculate the tension in a conical pendulum with a string length of 1.2 m and a bob mass of 0.41 kg at a 21° angle, the relationship T = mlω² can be used. It is suggested to first draw a diagram to visualize the forces acting on the pendulum. The tension can be derived from the equation Tcos(θ) = mg, leading to a calculated tension of 4.30 N. Understanding the components of tension and gravitational force is key to solving the problem. This approach effectively determines the tension in the string of a conical pendulum.
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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