Class 11 Exam > Class 11 Questions > If an object of mass 10kg is whirled around a...
Start Learning for Free
If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.?
Most Upvoted Answer
If an object of mass 10kg is whirled around a horizontal circle of rad...
Calculation of Tension in the String Whirled Around a Horizontal Circle
Given Data:
- Mass of the object = 10 kg
- Radius of the circle = 4 m
- Inclination of revolving string to vertical = 30°
- Uniform speed of the object = 5 m/s
Formulae Used:
- Centripetal force = mass x acceleration
- Centripetal force = tension in the string
- Acceleration = (velocity)^2 / radius
- Force due to gravity = mass x acceleration due to gravity
Calculation:
The force acting on the object to keep it in circular motion is provided by the tension in the string. The force acting on the object is the centripetal force, given as:
Centripetal force = mass x acceleration
Acceleration of the object is given as:
Acceleration = (velocity)^2 / radius
Putting the values in the above equation, we get:
Acceleration = (5 m/s)^2 / 4 m
Acceleration = 6.25 m/s^2
Substituting the values of mass and acceleration in the centripetal force equation, we get:
Centripetal force = 10 kg x 6.25 m/s^2
Centripetal force = 62.5 N
As the object is in equilibrium, the tension in the string is equal to the centripetal force acting on the object. Therefore, the tension in the string is also 62.5 N.
Additionally, the force due to gravity acting on the object is given as:
Force due to gravity = mass x acceleration due to gravity
Force due to gravity = 10 kg x 9.81 m/s^2
Force due to gravity = 98.1 N
As the object is in equilibrium, the tension in the string must be greater than the force due to gravity acting on the object to keep it in circular motion. Therefore, the tension in the string must be greater than 98.1 N.
Answer:
The tension in the string is approximately 62.5 N. However, it must be greater than 98.1 N to keep the object in circular motion.
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
If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.?
Question Description
If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? 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 If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.?.
If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? 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 If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.?.
Solutions for If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? 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 If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? defined & explained in the simplest way possible. Besides giving the explanation of
If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.?, a detailed solution for If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? has been provided alongside types of If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? theory, EduRev gives you an
ample number of questions to practice If an object of mass 10kg is whirled around a horizontal circle of radius 4m by revolving string inclined at 30 degree to vertical. If the uniform speed of the object is 5m/s,the tension of the string(approx) is.? 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