Calculating Work and Power in Two Common Problems: Bubble Radius & Heart Pumping

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SUMMARY

The discussion focuses on calculating work and power in two specific scenarios: the expansion of a spherical bubble and the pumping action of the heart. For the bubble with a radius increase from 3.2 cm to 5.8 cm and a superficial tension of 26 N/m, the work done is calculated using the formula for work related to surface tension. In the second scenario, the heart's power is determined by the volume of blood pumped per beat (75 ml) and the average pressure (110 mmHg) over a heart rate of 65 beats per minute, yielding a specific power output.

PREREQUISITES
  • Understanding of surface tension and its effects on spherical shapes
  • Knowledge of basic physics concepts such as work and power
  • Familiarity with units of pressure (mmHg) and volume (ml)
  • Ability to perform calculations involving rates and conversions
NEXT STEPS
  • Study the formula for calculating work done by surface tension in spherical bubbles
  • Learn how to convert pressure units from mmHg to Pascals for power calculations
  • Explore the relationship between heart rate, stroke volume, and cardiac output
  • Investigate the physics of fluid dynamics in biological systems
USEFUL FOR

Students in physics or biology, medical professionals interested in cardiovascular dynamics, and anyone studying fluid mechanics in biological contexts.

mprm86
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1. There's an spheric bubble in the air with a radius of 3.2 cm. You blow air inside the bubble until its radius gets 5.8 cm. Which is the work done on the bubble? Consider the (constant) superficial tension of the bubble as 26 N/m.

2. The heart pumps 75 ml of blood in each beating with an average pressure of 110 mmHg. It beats 65 times per minute. Calculate the power of pumping of the heart.
 
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