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Problem: 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.1. The speed of mass 1 is _ the speed of mass 2.2. For a given time, the angle covered by mass 1 is _ the angle covered by mass 2.3. The tangential acceleration of mass 2 is _ the tangential acceleration of mass 1.4. The angular acceleration of mass 1 is _ the angular acceleration of mass 2.5. For a given time, mass 1 travels a distance that is _ the distance traveled by mass 2.6. The magnitude of the total acceleration of mass 2 is _ the total acceleration of mass 1.7. The centripetal (radial) acceleration of mass 1 is _ the centripetal acceleration of mass 2.A. Equal toB. Less thanC. Greater than

FREE Expert Solution

1.

The speed of a rotating object is expressed as:

v=rω, where r is the radius of the circular path and ω is the angular velocity. 

In our case, the angular velocity of the masses is equal.

Therefore, the speed of the masses only depends on the distance of the mass from the axis.

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Problem Details

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.


1. The speed of mass 1 is _ the speed of mass 2.


2. For a given time, the angle covered by mass 1 is _ the angle covered by mass 2.


3. The tangential acceleration of mass 2 is _ the tangential acceleration of mass 1.


4. The angular acceleration of mass 1 is _ the angular acceleration of mass 2.


5. For a given time, mass 1 travels a distance that is _ the distance traveled by mass 2.


6. The magnitude of the total acceleration of mass 2 is _ the total acceleration of mass 1.


7. The centripetal (radial) acceleration of mass 1 is _ the centripetal acceleration of mass 2.


A. Equal to
B. Less than
C. Greater than

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Circular Motion concept. You can view video lessons to learn Circular Motion. Or if you need more Circular Motion practice, you can also practice Circular Motion practice problems.