Figure 6.1 shows a conical pendulum with a bob of mass 5 kg . The bob revolves in a horizontal circle of radius 1.25 m , with a period of 2.95 seconds, at constant speed. Find the tension in the string.
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The formula for angular velocity is: \[ \omega = \frac{2\pi}{T} \] where \(T\) is the period. Substituting the given value: \[ \omega = \frac{2\pi}{2.95} \approx 2.13 \, \text{rad/s} \] Show more…
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The figure shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.032 kg, the string has length L = 1.1 m and negligible mass, and the bob follows a circular path of circumference 0.74 m. What are (a) the tension in the string and (b) the period of the motion?
Eduard S.
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