JEE Exam  >  JEE Questions  >  An insect is moving on a circular track with ... Start Learning for Free
An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ?
Verified Answer
An insect is moving on a circular track with speed 2m/s in radius 2m i...
Ans.

Method to Solve :

The acceleration has two components tangential acceleration and centripetal acceleration.
This question is part of UPSC exam. View all JEE courses
Most Upvoted Answer
An insect is moving on a circular track with speed 2m/s in radius 2m i...
Introduction:
The problem states that an insect is moving on a circular track with a speed of 2 m/s and a radius of 2 m. We are required to find the magnitude of its acceleration. To solve this problem, we need to understand the concepts of centripetal acceleration and centripetal force.

Centripetal Acceleration:
Centripetal acceleration is the acceleration experienced by an object moving in a circular path. It is always directed towards the center of the circle. The formula for centripetal acceleration is given by:
\[a_c = \frac{v^2}{r}\]
where \(a_c\) is the centripetal acceleration, \(v\) is the velocity of the object, and \(r\) is the radius of the circular path.

Given Values:
- Velocity (v) = 2 m/s
- Radius (r) = 2 m

Calculating Centripetal Acceleration:
Substituting the given values into the formula, we can calculate the centripetal acceleration:
\[a_c = \frac{(2 \, \text{m/s})^2}{2 \, \text{m}}\]
\[a_c = \frac{4 \, \text{m}^2/\text{s}^2}{2 \, \text{m}}\]
\[a_c = 2 \, \text{m/s}^2\]

Explanation:
The magnitude of the acceleration of the insect moving on the circular track is 2 m/s². This means that the insect is accelerating towards the center of the circular path with an acceleration of 2 m/s². The acceleration is necessary to keep the insect moving in a circular path, as it constantly changes direction. The insect experiences a constant inward force called centripetal force that causes its acceleration towards the center of the circle.

Conclusion:
In summary, the insect moving on the circular track with a speed of 2 m/s and a radius of 2 m has a magnitude of acceleration equal to 2 m/s². The acceleration is directed towards the center of the circular path and is necessary to maintain the insect's motion in the circular track.
Explore Courses for JEE exam
An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ?
Question Description
An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ?.
Solutions for An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ? defined & explained in the simplest way possible. Besides giving the explanation of An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ?, a detailed solution for An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ? has been provided alongside types of An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ? theory, EduRev gives you an ample number of questions to practice An insect is moving on a circular track with speed 2m/s in radius 2m its acceleration has a magnitude of ? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev