The acceleration vector of a particle in uniform circular motion a) points outward from the center...
The acceleration vector of a particle in uniform circular motion
a) points outward from the center of the circle.
b) points toward the center of the circle.
c) is zero.
d) points along the circular path of the particle and opposite the
direction of motion.
e) points along the circular path of the particle and in the
direction of motion.
Homework Answers
The concepts required to solve the given problem are centripetal force and acceleration of a particle in uniform circular motion.
Initially, explain about why the particle has non-zero acceleration even though its motion is uniform. Then, determine the direction of acceleration of the particle in uniform circular motion by knowing direction of centripetal force on the particle.
If a particle is moving with constant speed in a circular path, then the particle is said to be in uniform circular motion.
The net force on a particle under uniform circular motion is centripetal force that is always directed towards the center of the circle. The direction of acceleration of the particle under centripetal force is also along the direction of centripetal force that is towards the center of the circle.
The particle under uniform circular motion has non-zero acceleration since the speed of the particle is constant in uniform circular motion and its direction changes that is velocity of the particle will change in regular intervals when the particle under uniform circular motion. Thus, the particle has acceleration in uniform circular motion.
Thus, the statement acceleration of the particle is zero is incorrect.
The acceleration of the particle under uniform circular motion is towards the center of the circle.
Thus, the statement acceleration of the particle is outward from the center of the circle, points along the circular path and in the opposite direction and in the same opposite direction are incorrect.
The direction of acceleration of the particle is towards the center since the direction of centripetal force on the particle is towards the center.
Ans:The direction of acceleration of the particle is towards the center of the circle.
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