A football player carrying the ball runs straight ahead at the line of scrimmage and directly into a wall of defensive linemen.
1 answer:
solution:
Now the direction of this signed acceleration is towards in the direction of travel of the ball carrier.
But as this acceleration is negative we could just as validly state that the acceleration is
in the opposite direction to the ball carrier's travel.
Although both are valid, the latter statement is probably the answer you are expected to give .
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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.