L Calculate all the following: The radius of the circle, R meters The tension in the rope, T Newtons The velocity of the mass, v m/s R m Here we have one sphere of mass m = 2.37 kg attached to the end of a rope of length L = 0.99 meters. At the time shown, the person is swinging the mass at high speed so that the angle = 80.6 degrees.
L Calculate all the following: The radius of the circle, R meters The tension in the rope, T Newtons The velocity of the mass, v m/s R m Here we have one sphere of mass m = 2.37 kg attached to the end of a rope of length L = 0.99 meters. At the time shown, the person is swinging the mass at high speed so that the angle = 80.6 degrees.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Boleadora Physics Demonstration**
**Introduction:**
The image showcases a traditional tool known as a boleadora, which consists of spheres attached to the ends of ropes. Historically used by South American gauchos, the diagram explains a physics scenario in which a person swings a single sphere of mass \( m = 2.37 \, \text{kg} \) at the end of a rope.
**Parameters:**
- **Rope Length (\( L \)):** 0.99 meters
- **Angle (\( \theta \)):** 80.6 degrees from the vertical
**Objective:**
Calculate the following:
- **Radius of the Circle (\( R \))** - in meters
- **Tension in the Rope (\( T \))** - in Newtons
- **Velocity of the Mass (\( v \))** - in meters per second
**Diagram Explanation:**
1. **Historical Context:**
- The top left corner shows an illustration of a gaucho on horseback using boleadoras.
- An ostrich is depicted, indicating common prey for traditional hunting.
2. **Physical Setup:**
- The right diagram shows a person holding a rope, swinging a mass in a circular motion.
- \( L \) (length of rope) forms an angle \( \theta \) with the vertical.
- \( R \) is the horizontal component, forming the radius of the circular motion.
3. **Visual Representation:**
- The bottom left corner features a photograph of boleadoras with spherical weights wrapped in fabric, emphasizing the traditional construction.
This setup provides a basis for understanding circular motion, tension, and dynamics. The exercise requires applying trigonometric functions to resolve forces and compute the desired physics quantities.
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