Answer:
w'=(1/2)w
Explanation:
In order to calculate the angular velocity of the second wheel, you use the following formula:
(1)
v: speed of the wheel 1 = speed of the wheel 2
r: radius of the wheel 1
For the second wheel you have:
r'=2r
You replace this value of r' in the following equation:
The angular velocity of the second wheel is one half of the angular velocity of the first wheel
Answer:
b) Vectors A and B are in the same direction.
Explanation:
To understand this problem we will say that vector A has a magnitude of 5 units and vector B a magnitude of 3 units. In the subtraction of vectors the initial parts of vectors always bind together. And the vector resulting from the subtraction is traced from the end of the second vector (B) to the end of the first vector (A).
The length of the resultant vector will be 5 - 3 = 2
In the attached image, we analyze case a), b), and d)
For a)
As we can see in the attached image the resultant vector has a length of 8 units.
For d)
As we can see in the attached image the resultant vector has a length of 5.83 units.
For b)
The resultant vector has a length of 2 units.
Therefore the case given in b) is true
