Question

The density of air at sea level is 1.3 kg /m. Assume that the average density of a human body is 1,050 kg/m. Approximate the average human body as a cylinde of length 5 feet 7 inches and a cross sectional circumference of 27 inches. (a) Approximate the volume of an average human body. Vhody Number Units (b) Estimate airs buoyant force on an average body. Number Units (c) What is the apparent weight and true weight of an average body in vacuum(g 9.81 m/s Wbodly Number Units Wappurnt Number Units
0 0
Add a comment Improve this question Transcribed image text
✔ Recommended Answer
Answer #1

First of all convert the units inches and feet into meters for simplicity of the solution.

Length of the cylinder, L = 5 feet 7 inches = 5 x 0.3040 + 7 x 0.0254 = 1.524 + 0.1778 = 1.7018 m

Circumference of the cylinder = 2pi*r = 27 inch = 27 x 0.0254 m = 0.6858 m

=> Radius of the cylinder = r = 0.6858 / (2pi) = 0.11 m

(a) Average volume of the human body, V = volume of cyliner = pi*r^2*L = 3.141*0.11^2*1.7018 = 0.0647 m^3

(b) Air buoyant force on human body = V * density of air * g = 0.0647*1.3*9.81 = 0.825 N

(c) True weight of human body = Wbody = V*(density of human body) = 0.0647 * 1050 = 67.94 kg

Apparent weight of human body = True weight - buoyant weight = 67.94 - 0.0647*1.3

= 67.86 kg

Add a comment
Know the answer?
Add Answer to:
The density of air at sea level is 1.3 kg /m. Assume that the average density...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT