8. Centripetal Forces & Gravitation

In uniform circular motion, what is the magnitude of the acceleration $a$ of a point at the center of a hoop of radius $R$ rotating at constant angular speed $\omega$?

A tire of radius $R$ rolls without slipping at a constant speed $v$ along a flat road. What is the speed of a point at the very top edge of the tire relative to the ground?

Which of the following conditions must be met for an object to maintain a perfectly circular orbit in uniform circular motion?

In uniform circular motion, which object has the lowest $\omega$ (angular velocity) if all objects complete their orbits in different periods but travel along circles of the same $r$ (radius)?

Which of the following is an example of a centripetal force in uniform circular motion?

In uniform circular motion, which of the following vectors always point toward the center of the circle?

In the context of uniform circular motion, which term describes a path that is not centered around a common point?

In uniform circular motion, if you double the velocity of the whirling object while keeping the radius constant, what happens to the required centripetal force ($F=\frac{{\mathrm{mv}}^2}{r}$)?

In uniform circular motion, which of the following statements is correct about the acceleration of the object?

In uniform circular motion, how does the required centripetal force acting on a car change as the car's speed increases while moving around a curve of fixed $r$?

In uniform circular motion, which of the following quantities are constant?

Which of the following objects is experiencing $\mathrm{centripetal} \mathrm{acceleration}$?

When rounding a curve in uniform circular motion, a car tends to:

In uniform circular motion, a particle traveling around a circle at constant speed will experience which type of $acceleration$?

In uniform circular motion, the tangential speed on the outer edge of a rotating carousel is: