Simple rotational motion point problem

In summary, point B is 2.00 times as far from the axis as point A on a disk that is rotating about an axis perpendicular to its plane. The linear speed of point A is slower than the linear speed of point B, and it is not V/4. If the distance from the center of the disk to point A is R, then the distance from the center to point B is 2R. Both points complete one rotation in the same time, so the distance travelled by each point in one rotation is V/2.
  • #1
kirby27
32
0
Two points are on a disk that rotates about an axis perpendicular to the plane of the disk at its center. Point B is 2.00 times as far from the axis as point A.

If the linear speed of point is V, then the linear speed of point A is

I know the speed of A must be less and i think its V/4. Is this right?
 
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  • #2
Yes, it is slower, no, it not V/4.

Suppose the distance from the center of the disk to point A is R so the distance from the center to point B is 2R. How far does each travel in one rotation? Remember that the both complete one rotation in the same time.
 
  • #3
ok. i think its V/2?
 

Related to Simple rotational motion point problem

1. What is simple rotational motion point problem?

Simple rotational motion point problem refers to a type of physics problem that involves the motion of a single point or object rotating around an axis. This type of problem is commonly used to analyze the motion of objects such as wheels, pendulums, and gears.

2. How do you calculate the rotational motion of an object?

The rotational motion of an object can be calculated using the equation: τ = Iα, where τ is the torque, I is the moment of inertia, and α is the angular acceleration. Additionally, the equation ω = ω0 + αt can be used to calculate the final angular velocity of an object after a certain amount of time t.

3. What is the difference between linear and rotational motion?

Linear motion refers to the movement of an object along a straight line, while rotational motion refers to the movement of an object around an axis. In linear motion, the velocity and acceleration are in the same direction, while in rotational motion, the velocity and acceleration are perpendicular to each other.

4. How is torque related to rotational motion?

Torque is a measure of the force that causes an object to rotate around an axis. It is directly related to the angular acceleration of an object, as shown in the equation τ = Iα. The greater the torque applied, the greater the angular acceleration and the faster the object will rotate.

5. What are some real-life examples of simple rotational motion point problems?

Some real-life examples of simple rotational motion point problems include the motion of a Ferris wheel, the rotation of a bicycle wheel, and the swinging of a pendulum. These problems can also be seen in everyday objects such as car wheels, ceiling fans, and tops.

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