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A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radians . The shear strain developed will be?
Verified Answer
A 2m long rod of radius 1cm which is fixed from one end is given a twi...
Explanation:
Given : L = 2 m
r = 1cm = 10^–2 m
twist = θ = 0.8 rad
angle of shear = ɸ
= (rθ / L)
= {(10^–2 x 0.8) / 2}
= 0.4 x 10^–2
i.e. shear strain = 0.004 rad
Given : L = 2 m
r = 1cm = 10^–2 m
twist = θ = 0.8 rad
angle of shear = ɸ
= (rθ / L)
= {(10^–2 x 0.8) / 2}
= 0.4 x 10^–2
i.e. shear strain = 0.004 rad
This question is part of UPSC exam. View all JEE courses
Most Upvoted Answer
A 2m long rod of radius 1cm which is fixed from one end is given a twi...
Given data:
Length of the rod (L) = 2m
Radius of the rod (r) = 1cm = 0.01m
Twist angle (θ) = 0.8 radians
Formula:
Shear strain (γ) = Δθ / L
Calculation:
We need to find the shear strain developed in the rod when a twist angle of 0.8 radians is given.
Step 1: Convert the radius to meters
The radius of the rod is given in centimeters. To convert it to meters, divide it by 100.
Radius (r) = 0.01m
Step 2: Calculate the length of the rod
The length of the rod is given as 2 meters.
Length (L) = 2m
Step 3: Calculate the shear strain
Shear strain (γ) = Δθ / L
The twist angle is given as 0.8 radians.
Δθ = 0.8 radians
Substituting the values into the formula, we get:
Shear strain (γ) = 0.8 / 2
Shear strain (γ) = 0.4
Conclusion:
The shear strain developed in the rod when a twist angle of 0.8 radians is given is 0.4.
Length of the rod (L) = 2m
Radius of the rod (r) = 1cm = 0.01m
Twist angle (θ) = 0.8 radians
Formula:
Shear strain (γ) = Δθ / L
Calculation:
We need to find the shear strain developed in the rod when a twist angle of 0.8 radians is given.
Step 1: Convert the radius to meters
The radius of the rod is given in centimeters. To convert it to meters, divide it by 100.
Radius (r) = 0.01m
Step 2: Calculate the length of the rod
The length of the rod is given as 2 meters.
Length (L) = 2m
Step 3: Calculate the shear strain
Shear strain (γ) = Δθ / L
The twist angle is given as 0.8 radians.
Δθ = 0.8 radians
Substituting the values into the formula, we get:
Shear strain (γ) = 0.8 / 2
Shear strain (γ) = 0.4
Conclusion:
The shear strain developed in the rod when a twist angle of 0.8 radians is given is 0.4.
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A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radians . The shear strain developed will be?
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A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radians . The shear strain developed will be? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radians . The shear strain developed will be? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radians . The shear strain developed will be?.
A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radians . The shear strain developed will be? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radians . The shear strain developed will be? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radians . The shear strain developed will be?.
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