Question

In uniform circular motion, which of the following are constant:Check all that apply.Check all that apply.the speed is constantthe magnitude of the velocity is constantthe direction of the velocity is constantthe magnitude of the angular velocity is constantthe magnitude of the centripetal acceleration is constantthe magnitude of the net force is constantthe direction of the angular velocity is constantthe direction of the centripetal acceleration is constantthe direction of the net force is constant

Answer 1

In uniform circular motion, constants include the speed, the magnitudes of the velocity, angular velocity, centripetal acceleration, and net force, and the direction of angular velocity, centripetal acceleration, and net force. The direction of velocity changes as the object moves on its path.

Step-by-step explanation:

In uniform circular motion, the following conditions are constant:

• The speed is constant.
• The magnitude of the velocity is constant.
• The magnitude of the angular velocity is constant.
• The magnitude of the centripetal acceleration is constant.
• The magnitude of the net force is constant.
• The direction of the angular velocity is constant.
• The direction of the centripetal acceleration is constant.
• The direction of the net force is constant towards the center of the circular path.

The direction of the velocity is not constant; it is always changing as the velocity vector is always tangent to the circular path and thus changes as the object moves around the circle.

Answer 2

1. In uniform circular motion, the speed is constant.

2. In uniform circular motion, the magnitude of velocity is constant.

3. In uniform circular motion, the magnitude of angular velocity is constant.

4. The magnitude of centripetal acceleration is constant in uniform circular motion.

5. In uniform circular motion, the magnitude of the net force is constant.

6. In uniform circular motion, the direction of angular velocity is constant.

Step-by-step explanation:

1. In a uniform circular motion it means that the object is moving in a circular motion with a constant speed. This speed only has magnitude, but not direction. Therefore, the object moves with constant speed.

2. This implies that the magnitude of the velocity remains constant as the object moves uniformly.

3. In uniform motion the magnitude of the angular velocity is directly proportional to the magnitude of the velocity. If the radius of the path is constant, its angular velocity magnitude will also be constant.

4. In uniform motion the magnitude of the velocity and the radius of the path are also constant, therefore the magnitude of the centripetal acceleration is also constant.

5. From the formula F = ma, if the mass of the object remains constant and the magnitude of the centripetal acceleration is also constant, the magnitude of the net force will also be constant.

6. In smooth motion, the direction of angular velocity is dependent on motion. If, for example, the object rotates in one direction or another direction, the direction of the angular velocity will remain constant during that movement.