Centripetal acceleration is given by:
a = v²/r
a = centripetal acceleration, v = speed of cylinder at surface, r = radius of cylinder
This equation relates the speed of the cylinder at its surface to its angular velocity:
v = rω
v = speed at surface, r = radius, ω = angular velocity
Make a substitution:
a = (rω)²/r
a = rω²
Given values:
a = 9.81m/s², r = (5.0mi)/2 = 2.5mi = 4023m
Plug in and solve for ω:
9.81 = 4023ω²
ω = 0.049rad/s
Answer:
The current is
Explanation:
From the question we are told that
The length of the solenoid is
The radius is
The number of turn is
The magnetic field is
The magnetic field produced is mathematically represented as
making the subject
Where is the permeability of free space with values
substituting values
Answer:
7 units, north
Explanation:
This is a problem of vector subtraction. We have:
- Vector A: magnitude 2 units, direction to the north
- Vector B: magnitude 5 units, direction to the south
If we take the north as positive direction, we can write
Since we want to find (vector subtraction), we have to change the sign of B, so we find:
And the positive sign means the direction is north.
This inaugural journey may be slow-going for those who already know their way around the solar system, as our place in it is explained by a “cosmic address” (Earth<span>, solar system, Milky Way, local group, Virgo supercluster, observable universe), but interest will be held by the sharp and mesmerizing graphics.</span>