Home
Class 11
PHYSICS
Assertion: A uniform circular motion is ...

Assertion: A uniform circular motion is an acceleration motion.
Reason: Direction of acceleration is parallel to velocity vector.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given assertion and reason, we will break it down step by step. ### Step 1: Understanding Uniform Circular Motion Uniform circular motion refers to the motion of an object traveling in a circular path at a constant speed. While the speed remains constant, the direction of the velocity vector changes continuously. **Hint:** Remember that in uniform circular motion, the speed is constant, but the direction of motion changes. ### Step 2: Identifying Acceleration in Uniform Circular Motion In uniform circular motion, even though the speed is constant, the object is accelerating because its direction is changing. This type of acceleration is called centripetal acceleration, which always points towards the center of the circular path. **Hint:** Think about how acceleration is defined. It involves a change in velocity, which can occur due to a change in speed or direction. ### Step 3: Analyzing the Assertion The assertion states that "a uniform circular motion is an acceleration motion." This is true because the object in uniform circular motion experiences centripetal acceleration due to the continuous change in direction of the velocity vector. **Hint:** Consider the definition of acceleration and how it applies to changing velocity. ### Step 4: Analyzing the Reason The reason states that "the direction of acceleration is parallel to the velocity vector." This statement is incorrect. In uniform circular motion, the velocity vector is tangential to the circular path, while the acceleration vector (centripetal acceleration) points radially inward, towards the center of the circle. Therefore, they are perpendicular to each other, not parallel. **Hint:** Visualize the circular motion and the direction of both the velocity and acceleration vectors. ### Step 5: Conclusion Based on the analysis: - The assertion is **true**: Uniform circular motion is indeed an acceleration motion due to the change in direction of the velocity. - The reason is **false**: The direction of acceleration is not parallel to the velocity vector; they are perpendicular. ### Final Answer Assertion: True Reason: False

To analyze the given assertion and reason, we will break it down step by step. ### Step 1: Understanding Uniform Circular Motion Uniform circular motion refers to the motion of an object traveling in a circular path at a constant speed. While the speed remains constant, the direction of the velocity vector changes continuously. **Hint:** Remember that in uniform circular motion, the speed is constant, but the direction of motion changes. ### Step 2: Identifying Acceleration in Uniform Circular Motion ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOTION IN A PLANE

    NCERT FINGERTIPS ENGLISH|Exercise Scalars And Vectors|5 Videos
  • MOTION IN A PLANE

    NCERT FINGERTIPS ENGLISH|Exercise Addition And Subtraction Of Vectors - Graphical Method|6 Videos
  • MOTION IN A PLANE

    NCERT FINGERTIPS ENGLISH|Exercise EXEMPLER PROBLEMS|9 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT FINGERTIPS ENGLISH|Exercise Assertion And Reason|15 Videos
  • MOTION IN A STRAIGHT LINE

    NCERT FINGERTIPS ENGLISH|Exercise NCERT Exemplar|6 Videos

Similar Questions

Explore conceptually related problems

In uniform circular motion

Uniform circular motion is an example of

During uniform circular motion of a particle

In a uniform circular motion, the centripetal acceleration is

In case of a uniform circular motion, velocity and acceleration are

Assertion uniform circular motion is uniformly accelerated motion. Reason acceleration in uniform circular motion is always towards centre.

In the following questions a statement of assertion (A) is followed by a statement of reason ( R). A : A uniform circular motion have non uniform acceleration . R: The direction of acceleration of a particle in uniform circular motion changes continuously .

Can force determine the direction of motion ? Direction of acceleration ?

Is a body in uniform circular motion in equilibrium ?

A uniform circular motion is an accelerated motion. Explain it. State whether the acceleration is uniform or variable? Name the force responsible to cause this acceleration. What is the direction of force at any instant? Draw a diagram in support of your answer.