205 N and an 655-N person is sitting in it, find the tension in each cable.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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5. In a carnival ride called the *Giant Swing*, a seat is connected to two cables, one of which is horizontal (see figure). The seat swings in a horizontal circle with a frequency of 18.0 rev/min. If the seat weighs 205 N and a 655-N person is sitting in it, find the tension in each cable.

**Diagram Explanation:**

The diagram illustrates a ride setup with the following components:
- A vertical pole to which the ride is attached.
- A person seated on the ride.
- Two cables: one connecting the seat to the pole horizontally and the other at an angle.
- The angled cable is shown at 40.0° to the horizontal.
- The horizontal distance from the seat to the axis of rotation is 7.50 m. 

The problem involves calculating the tension in each cable based on the given weight and motion parameters.
Transcribed Image Text:5. In a carnival ride called the *Giant Swing*, a seat is connected to two cables, one of which is horizontal (see figure). The seat swings in a horizontal circle with a frequency of 18.0 rev/min. If the seat weighs 205 N and a 655-N person is sitting in it, find the tension in each cable. **Diagram Explanation:** The diagram illustrates a ride setup with the following components: - A vertical pole to which the ride is attached. - A person seated on the ride. - Two cables: one connecting the seat to the pole horizontally and the other at an angle. - The angled cable is shown at 40.0° to the horizontal. - The horizontal distance from the seat to the axis of rotation is 7.50 m. The problem involves calculating the tension in each cable based on the given weight and motion parameters.
Expert Solution
Step 1

It is given that 

mass of person = 655 N

mass of seat = 205 N

Let tension in the cable be T,

As the giant swing is moving horizontally

the forces in the verticle will be zero

 

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