The grid shows the positions of a subway stop in your house does subway stop is located at The grid shows the positions of a sub
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Answer: The answers are
(i) The slope of segments DE and AC is not 0.
(ii) The coordinates of D and E were found using the Midpoint Formula.
Step-by-step explanation: We can easily see in the proof that the co-ordinates of D and E were found using the mid-point formula, not distance between two points formula. So, this is the first flaw in the Gina's proof.
Also, we see that the slope of line DE and AC, both are same, not equal to 0 but is equal to
which is 0 only if
So, this is the second mistake.
Thus, the statements that corrects the flaw in Gina's proof are
(i) The slope of segments DE and AC is not 0.
(ii) The coordinates of D and E were found using the Midpoint Formula.
Answer:
and
Step-by-step explanation:
Given that the larger gear is turning at the rate 50rpm. The angular velocity, , of the larger gear can be calculated as follows:
to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:
That gives
Which gives:
This is the angular velocity of the larger gear in rads/sec.
In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by
where v stands for linear velocity and
for radius of larger velocity.
We are given the radius of the larger gear as 7ft so we have
To get the angular velocity of the smaller gear, we use
where
is the radius of the smaller gear which is given as 4.
Since linear velocity is the same, we have