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2 answers:
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Answer:
0.91437 m
0.22859 m
Explanation:
g = Acceleration due to gravity = 9.81 m/s² = a
When the time intervals are equal, if four drops are falling then we have 3 time intervals.
So, the time interval is
For second drop time is given by
Distance from second drop
Distance from second drop is 0.91437 m
Distance from third drop
Distance from third drop is 0.22859 m
a) 1.57 m/s
The sock spins once every 2.0 seconds, so its period is
T = 2.0 s
Therefore, the angular velocity of the sock is
The linear speed of the sock is given by
where
is the angular velocity
r = 0.50 m is the radius of the circular path of the sock
Substituting, we find:
B) Faster
In this case, the drum is twice as wide, so the new radius of the circular path of the sock is twice the previous one:
At the same time, the drum spins at the same frequency as before, therefore the angular frequency as not changed:
Therefore, the new linear speed would be:
And substituting,
So, we see that the linear speed has doubled.