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In a uniform circular motion - 

  • a)
    Both velocity and acceleration are constant.

  • b)
    Both speed and velocity constant

  • c)
    Both acceleration and velocity change

  • d)
    Both acceleration and speed are constant

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a uniform circular motion -a)Both velocity and acceleration are con...
For a body moving in uniform circular motion the speed attained  by the object will remain constant not the velocity as velocity depends on the direction of motion, and in circular motion the direction of the object changes at every point. As speed remains constant the acceleration will remain constant.
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In a uniform circular motion -a)Both velocity and acceleration are con...
Uniform Circular Motion

Uniform circular motion is a type of motion in which an object moves in a circular path with a constant speed. In this type of motion, the object’s velocity and acceleration are constantly changing in direction but not in magnitude.

Acceleration in Uniform Circular Motion

The acceleration in uniform circular motion is known as centripetal acceleration. It is always directed towards the center of the circular path and is perpendicular to the object’s velocity. The magnitude of the centripetal acceleration is given by the formula:

a = v²/r

where v is the speed of the object and r is the radius of the circular path.

Speed in Uniform Circular Motion

In uniform circular motion, the speed of the object is constant. This means that the object travels the same distance in the same amount of time at every point on the circular path.

Velocity in Uniform Circular Motion

Velocity is a vector quantity and it includes both the magnitude (speed) and the direction of motion. In uniform circular motion, the direction of the velocity is constantly changing, but the magnitude (speed) remains constant. This is because the object is moving in a circular path and its velocity vector is always tangent to the circular path.

Answer

The correct answer to the given question is option 'D'. In uniform circular motion, both acceleration and speed are constant. The speed of the object remains constant because the object covers the same distance in the same amount of time at every point on the circular path. The acceleration of the object is also constant because it is directed towards the center of the circular path and its magnitude remains constant as long as the speed and radius of the circular path are constant.
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Community Answer
In a uniform circular motion -a)Both velocity and acceleration are con...
Answer is C
because in uniform circular motion both acceleration and velocity are changed and speed,, angular velocity constant
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