Answer to Question #118116 in Classical Mechanics for Lizwi

Question

If an object travels at a constant speed in a circular path, the acceleration of the object is
1 : larger in magnitude the smaller the radius of the circle.
2 : in the same direction as the velocity of the object.
3 : smaller in magnitude the smaller the radius of the circle.
4 : in the opposite direction of the velocity of the object.
5 : zero.

Answer 1

Acceleration in a circular motion is equal to $\frac{v^2}{r}$

hence larger the radius lesser is the acceleration and lesser the radius larger the acceleration

hence option 1 is correct