e time T, in seconds, it takes a pendulum to make one swing depends on the length of the pendulum and is given by T(L) = 27T L 32 here L is the length of the pendulum in feet. (a) Find the time (in seconds) it takes the pendulum to make one swing if the length of the pendulum is 3 ft. (Enter a number. Ro 1570 X sec (b) Find the time it takes (in seconds) the pendulum to make one swing if the length of the pendulum is 6 in. (Enter a number. Ro 0.61 X sec

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Chapter1: Units, Trigonometry. And Vectors
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### Pendulum Swing Time Calculation

The time \( T \), in seconds, it takes a pendulum to make one swing depends on the length of the pendulum and is given by the formula:

\[ T(L) = 2\pi \sqrt{\frac{L}{32}} \]

where \( L \) is the length of the pendulum in feet.

#### Exercises:

**(a)** Calculate the time (in seconds) it takes for the pendulum to make one swing if the length of the pendulum is 3 feet.  
_Your Answer: 1.570 seconds_  
_Result: Incorrect_

**(b)** Calculate the time (in seconds) it takes for the pendulum to make one swing if the length of the pendulum is 6 inches.  
_Your Answer: 0.61 seconds_  
_Result: Incorrect_

**Note:** Ensure to round your answers to two decimal places where applicable.

Need Help? Click "Read It" for guidance.

---

Make sure to check your calculations and employ the correct units for accurate results.
Transcribed Image Text:### Pendulum Swing Time Calculation The time \( T \), in seconds, it takes a pendulum to make one swing depends on the length of the pendulum and is given by the formula: \[ T(L) = 2\pi \sqrt{\frac{L}{32}} \] where \( L \) is the length of the pendulum in feet. #### Exercises: **(a)** Calculate the time (in seconds) it takes for the pendulum to make one swing if the length of the pendulum is 3 feet. _Your Answer: 1.570 seconds_ _Result: Incorrect_ **(b)** Calculate the time (in seconds) it takes for the pendulum to make one swing if the length of the pendulum is 6 inches. _Your Answer: 0.61 seconds_ _Result: Incorrect_ **Note:** Ensure to round your answers to two decimal places where applicable. Need Help? Click "Read It" for guidance. --- Make sure to check your calculations and employ the correct units for accurate results.
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