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4. The experiment was repeated for three different radii for the penny: 10, 15, and 20 cm. In each case, the time for 10 revolutions was measured and are listed in the table below. Complete the table. v (m/) Time for 10 revolutions (s) 12.1 Radius (m) Period (8) 0.100 0.1.50 14.5 0.200 17.2

4. The experiment was repeated for three different radii for the penny: 10, 15, and 20 cm. In each case, the time for 10 revolutions was measured and are listed in the table below. Complete the table. v (m/) Time for 10 revolutions (s) 12.1 Radius (m) Period (8) 0.100 0.1.50 14.5 0.200 17.2

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## Part A: Measuring a Coefficient of Static Friction ### Using data provided below in the worksheet, you will find the coefficient of static friction between an aluminum ruler and a penny in two different ways: 1. Rotating the aluminum ruler at a rate that causes the penny to slide. 2. Tilting the same ruler starting from horizontal, until the penny slides down the ruler. There is a video introduction to this part of the lab—your instructor will provide a link. Please watch the video before continuing. ### Rotating Ruler #### Theory 1. **Draw both a top view and side view of the free-body diagram for the penny. Label all forces.** These diagrams are for the moment when the penny is about to slide, that is, the penny is moving in uniform circular motion and the static friction force has reached its maximum value. - **Top View (left) and Side View (right):** The diagrams show a rectangle representing the ruler, with a circle representing the penny on top of it. The top view shows the penny at the edge of a dotted circle indicating rotation. The side view indicates the penny atop a slightly tilted ruler. 2. **Write down Newton’s Second Law for the penny in the radial and vertical directions. Then incorporate what you know about centripetal acceleration and maximum static friction.** - *Radial direction:* - *Vertical direction:* 3. **Using the equations above, find the relationship between the speed of the penny and the radius.** You should find that \( v^2 \) is proportional to \( r \) (the proportionality constant will involve the coefficient of static friction and the gravitational acceleration \( g \)). ### Data and Calculations 4. **The experiment was repeated for three different radii for the penny: 10, 15, and 20 cm.** In each case, the time for 10 revolutions was measured and listed in the table below. Complete the table. | Radius (m) | Time for 10 revolutions (s) | Period (s) | v (m/s) | \( v^2 \)(m²/s²) | |------------|-----------------------------|------------|---------|-----------------| | 0.100 | 12.1 | | | | | 0.150 | 14.5
Transcribed Image Text:## Part A: Measuring a Coefficient of Static Friction ### Using data provided below in the worksheet, you will find the coefficient of static friction between an aluminum ruler and a penny in two different ways: 1. Rotating the aluminum ruler at a rate that causes the penny to slide. 2. Tilting the same ruler starting from horizontal, until the penny slides down the ruler. There is a video introduction to this part of the lab—your instructor will provide a link. Please watch the video before continuing. ### Rotating Ruler #### Theory 1. **Draw both a top view and side view of the free-body diagram for the penny. Label all forces.** These diagrams are for the moment when the penny is about to slide, that is, the penny is moving in uniform circular motion and the static friction force has reached its maximum value. - **Top View (left) and Side View (right):** The diagrams show a rectangle representing the ruler, with a circle representing the penny on top of it. The top view shows the penny at the edge of a dotted circle indicating rotation. The side view indicates the penny atop a slightly tilted ruler. 2. **Write down Newton’s Second Law for the penny in the radial and vertical directions. Then incorporate what you know about centripetal acceleration and maximum static friction.** - *Radial direction:* - *Vertical direction:* 3. **Using the equations above, find the relationship between the speed of the penny and the radius.** You should find that \( v^2 \) is proportional to \( r \) (the proportionality constant will involve the coefficient of static friction and the gravitational acceleration \( g \)). ### Data and Calculations 4. **The experiment was repeated for three different radii for the penny: 10, 15, and 20 cm.** In each case, the time for 10 revolutions was measured and listed in the table below. Complete the table. | Radius (m) | Time for 10 revolutions (s) | Period (s) | v (m/s) | \( v^2 \)(m²/s²) | |------------|-----------------------------|------------|---------|-----------------| | 0.100 | 12.1 | | | | | 0.150 | 14.5
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