The air around the spinning baseball in the following figure (top view) experiences a faster speed on the left than the right side and hence a smaller pressure on the left than the right. Suppose the ball is traveling forward in the x direction at 40.0 m/s and it breaks 16.0 cm to the left in the -y direction (neglect the pull of gravity in the z direction). Assume the ball has a mass of 142 g and a radius of 3.55 cm. In addition, assume it travels at a constant speed of 40 m/s in the x direction from the pitcher's mound to home plate (60.5 ft = 18.44 m). Hint: The pressure difference equals the leftward force divided by the cross-sectional area of the ball, ². Left side Right side x = 18.44 m y

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem Description:**

The air around the spinning baseball in the top view diagram experiences a faster speed on the left side, resulting in lower pressure compared to the right side. 

- The baseball travels forward in the x direction at 40.0 m/s and deviates 16.0 cm left in the -y direction (ignoring gravity in the z direction).
- The ball has a mass of 142 g and a radius of 3.55 cm.
- It maintains a speed of 40 m/s from the pitcher’s mound to home plate (60.5 ft = 18.44 m).

**Hint:**
The pressure difference is calculated as the leftward force divided by the cross-sectional area of the ball, πr².

**Diagram Explanation:**

- The diagram shows a baseball with an arrow indicating forward motion in the x direction.
- The left side of the ball has a faster airspeed and consequently a lower pressure.
- The right side has slower air movement and higher pressure.
- A coordinate system indicates the positive x and y directions.
- Distance x from the pitcher to home plate is labeled as 18.44 m.

**Task:**

1) Calculate the pressure difference between the right and left sides of the baseball. 

Express your answer to three significant figures in Pascals (Pa).
Transcribed Image Text:**Problem Description:** The air around the spinning baseball in the top view diagram experiences a faster speed on the left side, resulting in lower pressure compared to the right side. - The baseball travels forward in the x direction at 40.0 m/s and deviates 16.0 cm left in the -y direction (ignoring gravity in the z direction). - The ball has a mass of 142 g and a radius of 3.55 cm. - It maintains a speed of 40 m/s from the pitcher’s mound to home plate (60.5 ft = 18.44 m). **Hint:** The pressure difference is calculated as the leftward force divided by the cross-sectional area of the ball, πr². **Diagram Explanation:** - The diagram shows a baseball with an arrow indicating forward motion in the x direction. - The left side of the ball has a faster airspeed and consequently a lower pressure. - The right side has slower air movement and higher pressure. - A coordinate system indicates the positive x and y directions. - Distance x from the pitcher to home plate is labeled as 18.44 m. **Task:** 1) Calculate the pressure difference between the right and left sides of the baseball. Express your answer to three significant figures in Pascals (Pa).
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