A copper wire of length 10m and radus 1mm is extended by 1.5mm when subjected to a tensiin of 200N calculate the energy density of the by wire.
Answers
Answer:
Read : Electric power - problems and solutions
2. A cord has original length of 100 cm is pulled by a force. The change in length of the cord is 2 mm. Determine the strain!
Known :
Original length (l0) = 100 cm = 1 m
The change in length (Δl) = 2 mm = 0.002 m
Wanted : The strain
Solution :
The strain :
Stress, strain, Young's modulus sample problems with solutions 2
AdvertisementScroll to Continue
Advertisement
Read : Work-energy principle, nonconservative force, motion on inclined plane with friction - problems and solutions
3. A string 4 mm in diameter has original length 2 m. The string is pulled by a force of 200 N. If the final length of the spring is 2.02 m, determine : (a) stress (b) strain (c) Young’s modulus
Known :
Diameter (d) = 4 mm = 0.004 m
Radius (r) = 2 mm = 0.002 m
Area (A) = π r2 = (3.14)(0.002 m)2
Area (A) = 0.00001256 m2 = 12.56 x 10-6 m2
Force (F) = 200 N
Original length of spring (l0) = 2 m
The change in length (Δl) = 2.02 – 2 = 0.02 m
Wanted : (a) The stress (b) The strain c) Young’s modulus
Solution :
(a) The stress
Stress, strain, Young's modulus sample problems with solutions 3
(b) The Strain
Stress, strain, Young's modulus sample problems with solutions 4
(c) Young’s modulus
Stress, strain, Young's modulus sample problems with solutions 5
Read : Newton's first law of motion – problems and solutions
4. A string has a diameter of 1 cm and the original length of 2 m. The string is pulled by a force of 200 N. Determine the change in length of the string! Young’s modulus of the string = 5 x 109 N/m2
Known :
Young’s modulus (E) = 5 x 109 N/m2
Original length (l0) = 2 m
Force (F) = 200 N
Diameter (d) = 1 cm = 0.01 m
Radius (r) = 0.5 cm = 0.005 m = 5 x 10-3 m
Area (A) = π r2 = (3.14)(5 x 10-3 m)2 = (3.14)(25 x 10-6 m2)
Area (A) = 78.5 x 10-6 m2 = 7.85 x 10-5 m2
Wanted : The change in length (Δl)
Solution :
Young’s modulus formula :
Stress, strain, Young's modulus sample problems with solutions 6
The change in length :
Stress, strain, Young's modulus sample problems with solutions 7
Read : Black principle – problems and solutions
5. A concrete has a height of 5 meters and has unit area of 3 m3 supports a mass of 30,000 kg. Determine (a) The stress (b) The strain (c) The change in height! Acceleration due to gravity (g) = 10 m/s2. Young’s modulus of concrete = 20 x 109 N/m2
Known :
Young’s modulus of concrete = 20 x 109 N/m2
Initial height (l0) = 5 meters
Unit area (A) = 3 m2
Weight (w) = m g = (30,000)(10) = 300,000 N
Wanted : (a) The stress (b) The strain (c) The change in height!
Solution :
(a) The stress
Stress, strain, Young's modulus sample problems with solutions 8
(b) The Strain
Stress, strain, Young's modulus sample problems with solutions 9
(c) The change in height
Stress, strain, Young's modulus sample problems with solutions 10
Read : Specific heat and heat capacity – problems and solutions
[wpdm_package id=’687′]
Hooke’s law
Stress, strain, Young’s modulus
Delhi Granny Earned ₹11,132,943 By Doing This One Simple Thing
Europa Casino
Related Posts
Force of gravity and gravitational field – problems and solutions
1. Two objects m1 and m2 each with a mass of 6 kg and 9 kg separated by a distance of 5...
Parabolic motion, work and kinetic energy, linear momentum, linear and angular motion – problems and solutions
1. A ball is thrown from the top of a building with an initial speed of 8 m/s at an angle of...
Transverse waves – problems and solutions
1. The distance between the two troughs of the water surface waves is 20 m. An object floats on the surface of...
Speed of the mechanical waves – problems and solutions
1. The speed of the transverse wave on a 25 meters rope is 50 m/s. The tension force of the rope is...
Simple harmonic motion – problems and solutions
1. An object vibrates with a frequency of 5 Hz to rightward and leftward. The object moves from equilibrium point to the...
ARTICLES
Basic Physics Tutorials (103)
Solved Problems in Basic Physics (246)