Which of the following quantities remains constant during uniform circular motion ?A centripetal acceleration B velocity C momentum D speed
Question
Which of the following quantities remains constant during uniform circular motion ?
A centripetal acceleration
B velocity
C momentum
D speed
Solution
To determine which quantity remains constant during uniform circular motion, let's analyze each option:
A) Centripetal acceleration: This is the acceleration directed towards the center of the circular path. In uniform circular motion, the magnitude of the centripetal acceleration remains constant, but its direction changes continuously. Therefore, centripetal acceleration is not constant during uniform circular motion.
B) Velocity: Velocity is a vector quantity that includes both magnitude and direction. In uniform circular motion, the direction of velocity changes continuously as an object moves around the circle. Therefore, velocity is not constant during uniform circular motion.
C) Momentum: Momentum is the product of an object's mass and velocity. Since both mass and velocity change during uniform circular motion, momentum is not constant.
D) Speed: Speed is the magnitude of velocity, which is the rate at which an object covers distance. In uniform circular motion, the object covers equal distances in equal time intervals, resulting in a constant speed. Therefore, the correct answer is D) speed.
In summary, during uniform circular motion, the quantity that remains constant is the speed.
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