Question

The figure represents the speed and location of a 22 kg cart that is traveling in uniform circular motion with a radius of 4.6 meters. The rotational speed of the cart is 4.8 radians/ second.
Describe the motion of the cart when the rope breaks (include speed and direction).

Answer 1

Answer:

Centripetal Acceleration

In the previous section, we defined circular motion. The simplest case of circular motion is uniform circular motion, where an object travels a circular path at a constant speed. Note that, unlike speed, the linear velocity of an object in circular motion is constantly changing because it is always changing direction. We know from kinematics that acceleration is a change in velocity, either in magnitude or in direction or both. Therefore, an object undergoing uniform circular motion is always accelerating, even though the magnitude of its velocity is constant.

You experience this acceleration yourself every time you ride in a car while it turns a corner. If you hold the steering wheel steady during the turn and move at a constant speed, you are executing uniform circular motion. What you notice is a feeling of sliding (or being flung, depending on the speed) away from the center of the turn.

Explanation:

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