Understanding Circular Motion: Comparing Masses on a Rotating Wheel

In summary, for a given time, the angle covered by mass 1 is greater than the angle covered by mass 2. The tangential acceleration of mass 2 is equal to the tangential acceleration of mass 1. The angular acceleration of mass 2 is equal to the angular acceleration of mass 1. For a given time, mass 1 travels a distance that is greater than the distance traveled by mass 2. The centripetal (radial) acceleration of mass 2 is less than the centripetal acceleration of mass 1. The magnitude of the total acceleration of mass 2 is less than the total acceleration of mass 1. The speed of mass 1 is greater than the speed of mass 2
  • #1
mrkoey
1
0
1. Two objects of equal mass are on a turning wheel. Mass 1 is located at the rim of the wheel while mass 2 is located halfway between the rim and the axis of rotation. The wheel is rotating with a non-zero angular acceleration. For each of the following statements select the correct option to complete the statement.

For a given time, the angle covered by mass 1 is _____ the angle covered by mass 2.
The tangential acceleration of mass 2 is _____ the tangential acceleration of mass 1.
The angular acceleration of mass 2 is _____ the angular acceleration of mass 1.
For a given time, mass 1 travels a distance that is _____ the distance traveled by mass 2.
The centripetal (radial) acceleration of mass 2 is _____ the centripetal acceleration of mass 1.
The magnitude of the total acceleration of mass 2 is _____ the total acceleration of mass 1.
The speed of mass 1 is _____ the speed of mass 2.

For every blank spot the answer must be "equal to", "greater than" or "less than"

Please help, I only have one try left and I want to try to get it right.
 
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  • #2
For a given time, the angle covered by mass 1 is greater than the angle covered by mass 2.The tangential acceleration of mass 2 is equal to the tangential acceleration of mass 1.The angular acceleration of mass 2 is equal to the angular acceleration of mass 1.For a given time, mass 1 travels a distance that is greater than the distance traveled by mass 2.The centripetal (radial) acceleration of mass 2 is less than the centripetal acceleration of mass 1.The magnitude of the total acceleration of mass 2 is less than the total acceleration of mass 1.The speed of mass 1 is greater than the speed of mass 2.
 
  • #3

For a given time, the angle covered by mass 1 is equal to the angle covered by mass 2.
The tangential acceleration of mass 2 is greater than the tangential acceleration of mass 1.
The angular acceleration of mass 2 is equal to the angular acceleration of mass 1.
For a given time, mass 1 travels a distance that is greater than the distance traveled by mass 2.
The centripetal (radial) acceleration of mass 2 is greater than the centripetal acceleration of mass 1.
The magnitude of the total acceleration of mass 2 is equal to the total acceleration of mass 1.
The speed of mass 1 is less than the speed of mass 2.
 

Related to Understanding Circular Motion: Comparing Masses on a Rotating Wheel

1. What is circular motion?

Circular motion is a type of motion in which an object moves in a circular path around a fixed point, known as the center of the circle. It is a common type of motion seen in everyday life, such as the motion of a car around a roundabout or the motion of the Earth around the Sun.

2. What causes circular motion?

Circular motion is caused by a force acting towards the center of the circle, known as the centripetal force. This force is responsible for keeping the object moving in a circular path, instead of moving in a straight line.

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

Circular motion refers to the movement of an object in a circular path, while rotational motion refers to the spinning or turning of an object around its own axis. In circular motion, the object moves around a fixed point, while in rotational motion, the object itself is rotating.

4. How is circular motion calculated?

The speed of an object in circular motion can be calculated using the formula v = 2πr/T, where v is the speed, r is the radius of the circle, and T is the time taken for one complete revolution. The acceleration of an object in circular motion can be calculated using the formula a = v^2/r, where a is the acceleration, v is the speed, and r is the radius of the circle.

5. What are some real-life examples of circular motion?

Some common examples of circular motion include the motion of a spinning top, the motion of a ball in a game of basketball, the motion of a satellite orbiting the Earth, and the motion of a car on a curved road. Other examples include the motion of a Ferris wheel, the motion of a washing machine during the spin cycle, and the motion of a planet around its own axis.

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