In the previous section, we defined circular motion. The simplest case of circular motion is uniform circular motion, where an object travels a circular path at a constant speed. Note that, unlike speed, the linear velocity of an object in circular motion is constantly changing because it is always changing direction. We know from kinematics that acceleration is a change in velocity, either in magnitude or in direction or both. Therefore, an object undergoing uniform circular motion is always accelerating, even though the magnitude of its velocity is constant.
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Continue on the momentum it has. The probe will continue in the same direction it is moving because there are no forces to act against it. I think this is the answer you are looking for...?
Answer:
E = p*r / 2*e_o
Explanation:
Given:
- Volume of cylinder V = pi*r^2*L
- Surface area A = 2*pi*r*L
- permittivity of space : e_o
Find:
Electric field E at distance r from the axis, where r < R.
Solution:
Step 1: Application of Gauss Law
- Form a Gaussian surface within the cylinder with r < R. Th cylinder has two surfaces i.e curved surfaces and end caps. Due to long charge distribution the flux through is zero, since the surface dA of end cap and E are at 90 degree angle to one another; hence, E . dA = E*dA*cos(90) = 0. For the curved surface we have:
(surface integral) E.dA = Q_enclosed / e_o
Step 2: The charge enclosed (Q_enclosed) is function of r and proportional density:
Q_enclosed = p*V
Q_enclosed = p*pi*r^2*L
Step 3: The area of the curved surface:
dA = 2*pi*r*L
Step 4: Compute E:
E*(2*pi*r*L) = p*pi*r^2*L / e_o
E = p*r / 2*e_o
