Class 11 Exam > Class 11 Questions > A circular ring of diameter 40cm and mass 1kg...
Start Learning for Free
A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation?
Most Upvoted Answer
A circular ring of diameter 40cm and mass 1kg is rotating about an axi...
Given:
Diameter of the circular ring (d) = 40 cm
Radius of the circular ring (r) = d/2 = 20 cm = 0.2 m
Mass of the circular ring (m) = 1 kg
Frequency of rotation (f) = 10 rotations per second
Formula:
The formula to calculate angular momentum (L) is given by:
L = Iω
where,
I = Moment of inertia
ω = Angular velocity
Calculation:
Step 1: Convert the diameter of the circular ring from cm to m
Diameter (d) = 40 cm = 0.4 m
Step 2: Calculate the moment of inertia (I) of the circular ring
The moment of inertia of a circular ring rotating about an axis passing through its center and perpendicular to its plane is given by the formula:
I = 0.5 * m * r^2
where,
m = mass of the circular ring
r = radius of the circular ring
Substituting the values, we get:
I = 0.5 * 1 kg * (0.2 m)^2
I = 0.02 kg.m^2
Step 3: Calculate the angular velocity (ω) of the circular ring
Angular velocity (ω) is given by the formula:
ω = 2πf
where,
f = frequency of rotation
Substituting the values, we get:
ω = 2 * 3.14 * 10 rad/s
ω = 62.8 rad/s
Step 4: Calculate the angular momentum (L) of the circular ring
Using the formula L = Iω, we can calculate the angular momentum:
L = 0.02 kg.m^2 * 62.8 rad/s
L = 1.256 kg.m^2/s
Answer:
The angular momentum of the circular ring about its axis of rotation is 1.256 kg.m^2/s.
Diameter of the circular ring (d) = 40 cm
Radius of the circular ring (r) = d/2 = 20 cm = 0.2 m
Mass of the circular ring (m) = 1 kg
Frequency of rotation (f) = 10 rotations per second
Formula:
The formula to calculate angular momentum (L) is given by:
L = Iω
where,
I = Moment of inertia
ω = Angular velocity
Calculation:
Step 1: Convert the diameter of the circular ring from cm to m
Diameter (d) = 40 cm = 0.4 m
Step 2: Calculate the moment of inertia (I) of the circular ring
The moment of inertia of a circular ring rotating about an axis passing through its center and perpendicular to its plane is given by the formula:
I = 0.5 * m * r^2
where,
m = mass of the circular ring
r = radius of the circular ring
Substituting the values, we get:
I = 0.5 * 1 kg * (0.2 m)^2
I = 0.02 kg.m^2
Step 3: Calculate the angular velocity (ω) of the circular ring
Angular velocity (ω) is given by the formula:
ω = 2πf
where,
f = frequency of rotation
Substituting the values, we get:
ω = 2 * 3.14 * 10 rad/s
ω = 62.8 rad/s
Step 4: Calculate the angular momentum (L) of the circular ring
Using the formula L = Iω, we can calculate the angular momentum:
L = 0.02 kg.m^2 * 62.8 rad/s
L = 1.256 kg.m^2/s
Answer:
The angular momentum of the circular ring about its axis of rotation is 1.256 kg.m^2/s.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation?
Question Description
A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation?.
A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation?.
Solutions for A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? defined & explained in the simplest way possible. Besides giving the explanation of
A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation?, a detailed solution for A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? has been provided alongside types of A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? theory, EduRev gives you an
ample number of questions to practice A circular ring of diameter 40cm and mass 1kg is rotating about an axis normal to its plane and passing through the centre with a frequency of 10 rotations per second. Calculate the angular momentum about its axis of rotation? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup