The air around the spinning baseball shown in the figure (top view) experiences a faster speed on the left side than on the right side and hence a smaller pressure on the left than on the right. Suppose the ball is traveling in the x-direction at 34.6 m/s and it breaks Ay = 15.0 cm to the left, in the -y- %3D direction. Assume the ball has a mass of 142 g and a radius r = 3.55 cm. In addition, assume it travels at a constant speed U, = 34.6 m/s in the x-direction from the pitcher's mound to home plate, a distance Ax of 60.5 ft = 18.44 m. %3D Determine the pressure difference Ap, between the right and left sides of the ball. Apy = %3D

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The air around the spinning baseball shown in the figure (top view) experiences a faster speed on the left side than on the right side and hence a smaller pressure on the left than on the right. Suppose the ball is traveling in the \( x \)-direction at 34.6 m/s and it breaks \( \Delta y = 15.0 \) cm to the left, in the \( -y \)-direction. Assume the ball has a mass of 142 g and a radius \( r = 3.55 \) cm. In addition, assume it travels at a constant speed \( v_x = 34.6 \) m/s in the \( x \)-direction from the pitcher's mound to home plate, a distance \( \Delta x \) of 60.5 ft \( = 18.44 \) m.

Determine the pressure difference \( \Delta p_y \) between the right and left sides of the ball.

\[
\Delta p_y = \quad \text{Pa}
\]

### Diagram Description:
The diagram shows a baseball moving in the \( x \)-direction with a faster velocity on its left side compared to its right side. This velocity difference is depicted by an arrow on the left side indicating higher speed, resulting in a lower pressure on this side. The ball breaks \( \Delta y = 15.0 \) cm to the left, inducing a motion in the \( -y \)-direction, while the main trajectory in the \( x \)-direction covers a distance of 18.44 meters. The visualization includes arrows indicating the directions and magnitudes of the forces and distances involved.
Transcribed Image Text:The air around the spinning baseball shown in the figure (top view) experiences a faster speed on the left side than on the right side and hence a smaller pressure on the left than on the right. Suppose the ball is traveling in the \( x \)-direction at 34.6 m/s and it breaks \( \Delta y = 15.0 \) cm to the left, in the \( -y \)-direction. Assume the ball has a mass of 142 g and a radius \( r = 3.55 \) cm. In addition, assume it travels at a constant speed \( v_x = 34.6 \) m/s in the \( x \)-direction from the pitcher's mound to home plate, a distance \( \Delta x \) of 60.5 ft \( = 18.44 \) m. Determine the pressure difference \( \Delta p_y \) between the right and left sides of the ball. \[ \Delta p_y = \quad \text{Pa} \] ### Diagram Description: The diagram shows a baseball moving in the \( x \)-direction with a faster velocity on its left side compared to its right side. This velocity difference is depicted by an arrow on the left side indicating higher speed, resulting in a lower pressure on this side. The ball breaks \( \Delta y = 15.0 \) cm to the left, inducing a motion in the \( -y \)-direction, while the main trajectory in the \( x \)-direction covers a distance of 18.44 meters. The visualization includes arrows indicating the directions and magnitudes of the forces and distances involved.
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