Answer:
The maximum velocity is 0.489 m/s
Explanation:
Maximum velocity (v) = angular velocity (w) × radius (r)
w = 33.33 rpm = 33.33×0.1047 = 3.4897 rad/s
r = 14 cm = 14/100 = 0.14 m
v = 3.4897×0.14 = 0.489 m/s
Answer:
Volume of the sample: approximately
.
Average density of the sample: approximately
.
Assumption:
.
.- Volume of the cord is negligible.
Explanation:
<h3>Total volume of the sample</h3>
The size of the buoyant force is equal to
.
That's also equal to the weight (weight,
) of water that the object displaces. To find the mass of water displaced from its weight, divide weight with
.
.
Assume that the density of water is
. To the volume of water displaced from its mass, divide mass with density
.
.
Assume that the volume of the cord is negligible. Since the sample is fully-immersed in water, its volume should be the same as the volume of water it displaces.
.
<h3>Average Density of the sample</h3>
Average density is equal to mass over volume.
To find the mass of the sample from its weight, divide with
.
.
The volume of the sample is found in the previous part.
Divide mass with volume to find the average density.
.
Answer:
New location at time 3.01 is given by: (7.49, 2.11)
Explanation:
Let's start by understanding what is the particle's velocity (in component form) in that velocity field at time 3:

With such velocities in the x direction and in the y-direction respectively, we can find the displacement in x and y at a time 0.01 units later by using the formula:


Therefore, adding these displacements in component form to the original particle's position, we get:
New position: (7 + 0.49, 2 + 0.11) = (7.49, 2.11)
A magnetic field is actually generated by a moving current (or moving electric charge specifically). The magnetic field generated by a moving current can be found by using the right hand rule, point your right thumb in the direction of current flow, then the wrap of your fingers will tell you what direction the magnetic field is. In the case of current traveling up a wire, the magnetic field generated will encircle the wire. Similarly electromagnets work by having a wire coil, and causing current to spin in a circle, generating a magnetic field perpendicular to the current flow (again right hand rule).
So if you were to take a permenant magnet and cut a hole in it then string a straight wire through it... my guess is nothing too interesting would happen. The two different magnetic fields might ineteract in a peculiar way, but nothing too fascinating, perhaps if you give me more context as to what you might think would happen or what made you come up with this question I could help.
Source: Bachelor's degree in Physics.
International Disaster Management or FEMA