Which of the following statements a - c is false concerning the total accelerati

Question

Which of the following statements a - c is false concerning the total acceleration vector of a particle in non-uniform circular motion? a. If the particle is speeding up, it's total acceleration vector does not point directly at the center of the circle Instead, it points to the side of the center of the circle in the direction the particle is moving. D. If the particle is slowing down, it's total acceleration vector does not point directly at the center of the circle. OC. If the particle is neither speeding up or slowing down, its total acceleration vector points toward the center of the d. Statements a - c are all true. Instead, it points to the side of the center of the circle away from the direction the particle is moving. circle. QUESTION 2 Which of the following statements is false concerning a particle in uniform circular motion with speed v around a circle of radius R? The particle's velocity vector is tangent to the particle's circular path in the direction the particle is moving. The particle's acceleration is opposite in direction to the particle's position vector. The particle's position vector is radially outward from the circle's origin to the particle. The magnitude of the particle's acceleration is given by the ratio of the particle's speed to the circumference of the circle. The particle's acceleration measures how fast the particle's direction changes.

Explanation / Answer

In problem 1 option -b is false.

As we know that the total acceleration vector comprises Radial acceleration as well as tangential accelearation,

If a particle is slowing down in constant radius non uniform motion this means a change in it's velocity will change it's magnitude of radial acceleration. This means centripetal acceleration is reducing when the circular object is slowing down. Thus the value of total angular acceleartion is decreasing and it's direction will be towards center.

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