Heating causes an object to dxpena
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Answer:
a) The acceleration experimented by the passenger when she passes through the lowest point of her circular motion is: ,
.
b) Hence, the acceleration experimented by the passenger when she passes through the highest point of her circular motion is: ,
.
c) The Ferris wheel takes 14.646 seconds to make a revolution.
Explanation:
a) An object that rotates at constant angular velocity reports a centripetal acceleration and no tangential acceleration. When passenger passes through the lowest point in her circular motion, centripetal acceleration goes up to the center.
In addition, centripetal acceleration is determined by the following expression:
(Eq. 1)
Where:
- Centripetal acceleration, measured in meters per square second.
- Linear speed, measured in meters per second.
- Radius of the Ferris wheel, measured in meters.
If we know that and
, the magnitude of radial acceleration is:
The acceleration experimented by the passenger when she passes through the lowest point of her circular motion is: ,
.
b) In the highest point the magnitude of radial acceleration is the same but direction is the opposed to that at lowest point. That is, centripetal acceleration goes down to the center.
Hence, the acceleration experimented by the passenger when she passes through the highest point of her circular motion is: ,
.
c) At first we need to calculate the angular velocity of the Ferris wheel (), measured in radians per second, by using the following expression:
(Eq. 2)
If we know that and
, then the angular velocity of the Ferris wheel is:
Now we proceed to obtain the period of the Ferris wheel (), measured in seconds, which is the time needed by that wheel to make on revolution:
(Eq. 3)
Where is the angular velocity of the Ferris wheel, measured in radians per second.
If we get that , then:
The Ferris wheel takes 14.646 seconds to make a revolution.
a) Average velocity for her run north: 2.68 m/s north
b) The average velocity for the whole trip is zero
c) The average speed for the whole trip is 1.95 m/s
Explanation:
a)
In this part of the problem we only want to consider the part when Micha is running north.
The average velocity is given by:
where
d is the displacement (a vector connecting the initial position to the final position of motion)
t is the time
For the part running north, we have
north is the displacement
is the time interval
Substituting,
north (we have to specify also the direction, since velocity is a vector)
b)
As we said, average velocity is given by
where
d is the displacement
t is the time
If we consider the whole trip, however, the displacement is zero:
d = 0
Because Micha returns home, so the initial position corresponds to the final position of motion. Therefore, the average velocity is also zero:
v = 0
c)
The average speed is given by
where
d is the distance covered (the total length of the path, regardless of the direction)
t is the time interval
Since MIcha ran 2 miles north and then 2 miles back, the total distance is
And the time taken is
So, the average speed is
And since speed is a scalar, there is no need to specify a direction.
Learn more about speed and velocity:
#LearnwithBrainly
Answer:
5.98 m
Explanation:
= 11.15*4.6²/(4π²) = 5.98 m