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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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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