Which of the following quantity remains constant during the uniform circular motion?a)velocityb)accelerationc)speedd)angular velocitCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

angular velocity is constant

since it continually sweeps out a

constant

arc length per unit time.

Constant angular velocity

in a

circle is

known as

uniform circular motion. d is also right

Answer

In uniform circular motion,speed remains constant and      the body travels with variable velocity due to the continuous change in direction.

Answer

Constant Quantity in Uniform Circular Motion

Uniform circular motion is a type of motion in which an object moves in a circular path with a constant speed. Some quantities related to the motion of the object change during the motion, while some remain constant. The quantity that remains constant during the uniform circular motion is the speed of the object.

Explanation

- Speed: Speed is the rate of change of distance with time. In the case of uniform circular motion, the distance traveled by the object along the circumference of the circle is the same in equal intervals of time. Therefore, the speed of the object remains constant during the motion.
- Velocity: Velocity is the rate of change of displacement with time. In the case of uniform circular motion, the displacement of the object changes continuously in both magnitude and direction. Therefore, the velocity of the object changes during the motion.
- Acceleration: Acceleration is the rate of change of velocity with time. In the case of uniform circular motion, the direction of velocity changes continuously, and hence the object experiences a constant acceleration towards the center of the circle. This acceleration is called centripetal acceleration and is given by the formula a = v²/r, where v is the speed of the object and r is the radius of the circle. Therefore, the acceleration of the object changes during the motion.
- Angular Velocity: Angular velocity is the rate of change of angular displacement with time. In the case of uniform circular motion, the angular displacement of the object changes continuously in both magnitude and direction. Therefore, the angular velocity of the object changes during the motion.

Conclusion

In summary, the speed of the object remains constant during the uniform circular motion because the distance traveled by the object along the circumference of the circle is the same in equal intervals of time. Other quantities related to the motion of the object, such as velocity, acceleration, and angular velocity, change during the motion.

Answer

I think both c and d could be the answer.

Answer

Velovity is a vector quantity so it changes as direction changes. Acceleration also depends on velocity.
The only one which doesn't change is sppeed in a uniform circular motion.

Answer

I thank both c and b could be the answer

Answer

In uniform circular motion both angular velocity and speed are constant

Answer

Ya it is verified by it definition that speed is the quantity that remains constant during the uniform circular motion.

Answer

But angular velocity also remains constant so the correct answer must be c and d...

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