The speed at which a grandfather clock runs is controlled by a swinging pendulum. a) If you find that the clock loses time each day, what adjustment would you need to make to the pendulum so it will keep better time? b). If the pendulum currently is 15 cm, by how much would you need to change the length to make the period lesson by 0.04 s? Use scientific notation rounding to the nearest hundredth.

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The speed at which a grandfather clock runs is controlled by a swinging pendulum. a) If you find that the clock loses time each day, what adjustment would you need to make to the pendulum so it will keep better time? b). If the pendulum currently is 15 cm, by how much would you need to change the length to make the period lesson by 0.04 s? Use scientific notation rounding to the nearest hundredth.
### Understanding the Pendulum Clock

**Description and Components:**

The image depicts a traditional longcase clock, commonly known as a grandfather clock. The central focus is on the pendulum mechanism which is a significant component of these types of clocks.

**1. Clock Face:**
   - Located at the top of the clock.
   - Displays numbers from 1 to 12 in Roman numerals, indicating the hours.
   - Features three hands: an hour hand, a minute hand, and often a second hand.
   - Ornamental designs adorn the corners around the clock face.

**2. Pendulum Mechanism:**
   - Illustrated inside the lower section of the clock case.
   - The pendulum is a long rod with a metal bob (a weight) at the bottom end.
   - Serves as the time-regulating element of the clock.
   - The motion of the pendulum is driven by the clock’s internal mechanical movement.
   - Arrows indicate the pendulum's location and its movement within the case.

**How it Works:**
The pendulum swings back and forth, driven by the mechanical movement inside the clock. This motion helps to regulate and maintain accurate timekeeping. The regular movement of the pendulum is tracked by the clock's gears, which then move the hands on the clock face accordingly.

**Educational Significance:**
Understanding how a pendulum clock works is fundamental in the study of classical mechanics and horology (the study of timekeeping). The periodic motion of the pendulum is an example of simple harmonic motion, a critical concept in physics.

**Visual Summary:**
- **Pendulum:** Identified and annotated in the image. It is the key functional part of the clock demonstrating oscillatory motion.
- **Clock Structure:** The ornamental and structural aspects highlight the design aesthetics of traditional timepieces.

This image serves as a visual aid to grasp the mechanical workings and the aesthetic design of a grandfather clock, emphasizing the importance of the pendulum in time regulation.
Transcribed Image Text:### Understanding the Pendulum Clock **Description and Components:** The image depicts a traditional longcase clock, commonly known as a grandfather clock. The central focus is on the pendulum mechanism which is a significant component of these types of clocks. **1. Clock Face:** - Located at the top of the clock. - Displays numbers from 1 to 12 in Roman numerals, indicating the hours. - Features three hands: an hour hand, a minute hand, and often a second hand. - Ornamental designs adorn the corners around the clock face. **2. Pendulum Mechanism:** - Illustrated inside the lower section of the clock case. - The pendulum is a long rod with a metal bob (a weight) at the bottom end. - Serves as the time-regulating element of the clock. - The motion of the pendulum is driven by the clock’s internal mechanical movement. - Arrows indicate the pendulum's location and its movement within the case. **How it Works:** The pendulum swings back and forth, driven by the mechanical movement inside the clock. This motion helps to regulate and maintain accurate timekeeping. The regular movement of the pendulum is tracked by the clock's gears, which then move the hands on the clock face accordingly. **Educational Significance:** Understanding how a pendulum clock works is fundamental in the study of classical mechanics and horology (the study of timekeeping). The periodic motion of the pendulum is an example of simple harmonic motion, a critical concept in physics. **Visual Summary:** - **Pendulum:** Identified and annotated in the image. It is the key functional part of the clock demonstrating oscillatory motion. - **Clock Structure:** The ornamental and structural aspects highlight the design aesthetics of traditional timepieces. This image serves as a visual aid to grasp the mechanical workings and the aesthetic design of a grandfather clock, emphasizing the importance of the pendulum in time regulation.
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