Helical Motion As a model of the physics of the aurora, consider a proton emitted by the Sun that encounters the magnetic field of the Earth while traveling at 4.3 × 10 5 m/s. (a) The proton arrives at an angle of 33° from the direction of B → (refer to Figure 22-19 ). What is the radius of the circular portion of its path if B = 3.5 × 10 −5 T? (b) Calculate the time required for the proton to complete one circular orbit in the magnetic field. (c) How far parallel to the magnetic field does the proton travel during the time to complete a circular orbit? This is called the pitch of its helical motion.
Helical Motion As a model of the physics of the aurora, consider a proton emitted by the Sun that encounters the magnetic field of the Earth while traveling at 4.3 × 10 5 m/s. (a) The proton arrives at an angle of 33° from the direction of B → (refer to Figure 22-19 ). What is the radius of the circular portion of its path if B = 3.5 × 10 −5 T? (b) Calculate the time required for the proton to complete one circular orbit in the magnetic field. (c) How far parallel to the magnetic field does the proton travel during the time to complete a circular orbit? This is called the pitch of its helical motion.
Helical Motion As a model of the physics of the aurora, consider a proton emitted by the Sun that encounters the magnetic field of the Earth while traveling at 4.3 × 105 m/s. (a) The proton arrives at an angle of 33° from the direction of
B
→
(refer to Figure 22-19). What is the radius of the circular portion of its path if B = 3.5 × 10−5 T? (b) Calculate the time required for the proton to complete one circular orbit in the magnetic field. (c) How far parallel to the magnetic field does the proton travel during the time to complete a circular orbit? This is called the pitch of its helical motion.
Uniform Circular motion.
1. Mini Lecture
2. Let the position of a particle be given by:
(t) = Rcos (wt)i + Rsin (wt)j
3. Calculate the expression for the velocity
vector and show that the velocity vector is
tangential to the circumference of the circle.
4. Calculate the expression for the acceleration
vector and show that the acceleration vector
points radially inward.
5. Calculate the magnitude of the velocity and
magnitude of the acceleration, and therefore
show that
v2
a =
R
4. A ball is thrown vertically up, its speed.
slowing under the influence of gravity.
Suppose (A) we film this motion and play
the tape backward (so the tape begins with
the ball at its highest point and ends with it
reaching the point from which it was
released), and (B) we observe the motion of
the ball from a frame of reference moving
up at the initial speed of the ball. The ball
has a downward acceleration g in:
a. A and B
b. Only A
c. Only B
d. Neither A nor B
2. Consider a 2.4 m long propeller that
operated at a constant 350 rpm. Find the
acceleration of a particle at the tip of the
propeller.
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What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY