The aorta carries blood away from the heart and eventually branches into a large number of capillaries that distribute the blood to various body organs. If for an average person, the aorta has a radius of 1.2 cm and blood travels through it at a speed of 45 cm/s and the capillaries have an average radius of 5.0 x 104 cm and blood travels through them at a speed of 0.005 cm/s, determine the approximate number of capillaries in the human body. capillaries Vinuing Sound Work Bovert to Rocponco

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
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**Problem Statement on Blood Distribution in Human Body**

The aorta carries blood away from the heart and eventually branches into a large number of capillaries that distribute the blood to various body organs. If for an average person, the aorta has a radius of 1.2 cm and blood travels through it at a speed of 45 cm/s, and the capillaries have an average radius of 5.0 x 10^-4 cm and blood travels through them at a speed of 0.005 cm/s, determine the approximate number of capillaries in the human body.

**Answer Box:**
[________] capillaries

**Explanation:**

This problem involves understanding blood flow dynamics through different parts of the circulatory system. The aorta, being the primary artery from the heart, branches into numerous capillaries. Here are the specific details provided:

- **Aorta**:
  - Radius: 1.2 cm
  - Blood speed: 45 cm/s

- **Capillaries**:
  - Average radius: 5.0 x 10^-4 cm
  - Blood speed: 0.005 cm/s

Using these values, we'll apply the principle of conservation of mass (continuity equation) to determine the approximate number of capillaries in the body.
Transcribed Image Text:**Problem Statement on Blood Distribution in Human Body** The aorta carries blood away from the heart and eventually branches into a large number of capillaries that distribute the blood to various body organs. If for an average person, the aorta has a radius of 1.2 cm and blood travels through it at a speed of 45 cm/s, and the capillaries have an average radius of 5.0 x 10^-4 cm and blood travels through them at a speed of 0.005 cm/s, determine the approximate number of capillaries in the human body. **Answer Box:** [________] capillaries **Explanation:** This problem involves understanding blood flow dynamics through different parts of the circulatory system. The aorta, being the primary artery from the heart, branches into numerous capillaries. Here are the specific details provided: - **Aorta**: - Radius: 1.2 cm - Blood speed: 45 cm/s - **Capillaries**: - Average radius: 5.0 x 10^-4 cm - Blood speed: 0.005 cm/s Using these values, we'll apply the principle of conservation of mass (continuity equation) to determine the approximate number of capillaries in the body.
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