An earthworm is an animal that lacks a firm skeleton and instead make Longitudinal and circular muscles make it possible for the worm to alt analyze the hydrostatic forces within this animal by modeling it as a re Consider a 1 cm section of an earthworm with a diameter of 1.2 cm ar muscles per centimeter length of the worm is 1.52 x 10 cm2 and the A. What is the force (N) generated by the circular muscles in this sec B. What is the pressure (Pa) developed inside the worm under maxim C. What is the force (N) generated along the length of the earthwon D. By how much (percent) could a 1 cm section of an earthworm sho circular muscles? Note: Round off your entries up to 3 decimal places; for quantities les

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Use the following constants and conversion units where appropriate in your calculations.
Constants
Acceleration due to
9.8 m/s?
gravity, g
Density of water, p
1000 kg/m3
%3D
Conversion Factors
101,325
1 atm
%3D
Ра
60
1 minute
seconds
60
1 hr
%3D
minutes
1 km
%3D
1000 m
1 m
100 cm
1 m
1000 mm
1 m
1x 10 um
45
n/4
degrees
%3D
radians
(angle)
1 dyn
= 0.00001N
Transcribed Image Text:Use the following constants and conversion units where appropriate in your calculations. Constants Acceleration due to 9.8 m/s? gravity, g Density of water, p 1000 kg/m3 %3D Conversion Factors 101,325 1 atm %3D Ра 60 1 minute seconds 60 1 hr %3D minutes 1 km %3D 1000 m 1 m 100 cm 1 m 1000 mm 1 m 1x 10 um 45 n/4 degrees %3D radians (angle) 1 dyn = 0.00001N
An earthworm is an animal that lacks a firm skeleton and instead makes use the so-called "hydrostatic skeleton" to facilitate its movement.
Longitudinal and circular muscles make it possible for the worm to alternate contraction and extension as it "crawls" on surfaces. We can
analyze the hydrostatic forces within this animal by modeling it as a regularly-shaped cylinder.
Consider a 1 cm section of an earthworm with a diameter of 1.2 cm and a Young's modulus of elasticity of 3.812 kPa. The area
the circular
muscles per centimeter length of the worm is 1.52 x 10 cm2 and the maximum force generated per unit area of the muscles is 7x 10 dyn/cm?.
A. What is the force (N) generated by the circular muscles in this section of an earthworm?
B. What is the pressure (Pa) developed inside the worm under maximun contraction of the circular muscles?
C. What is the force (N) generated along the length of the earthworm when the circular muscles are under maximum contraction?
D. By how much (percent) could a 1 cm section of an earthworm shorten if subjected to the pressure developed due to the contraction of the
circular muscles?
Note: Round off your entries up to 3 decimal places; for quantities less than 0.01 use up to 3 significant digits.
Transcribed Image Text:An earthworm is an animal that lacks a firm skeleton and instead makes use the so-called "hydrostatic skeleton" to facilitate its movement. Longitudinal and circular muscles make it possible for the worm to alternate contraction and extension as it "crawls" on surfaces. We can analyze the hydrostatic forces within this animal by modeling it as a regularly-shaped cylinder. Consider a 1 cm section of an earthworm with a diameter of 1.2 cm and a Young's modulus of elasticity of 3.812 kPa. The area the circular muscles per centimeter length of the worm is 1.52 x 10 cm2 and the maximum force generated per unit area of the muscles is 7x 10 dyn/cm?. A. What is the force (N) generated by the circular muscles in this section of an earthworm? B. What is the pressure (Pa) developed inside the worm under maximun contraction of the circular muscles? C. What is the force (N) generated along the length of the earthworm when the circular muscles are under maximum contraction? D. By how much (percent) could a 1 cm section of an earthworm shorten if subjected to the pressure developed due to the contraction of the circular muscles? Note: Round off your entries up to 3 decimal places; for quantities less than 0.01 use up to 3 significant digits.
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