Note. Because the argument of the sine function is unitless, your calculator must be in radian...
Note. Because the argument of the sine function is unitless, your calculator must be in radian mode for the rest of this question if you use it to evaluate any trigonometric functions.
A magnetic field is used to trap and confine an electron. The electron undergoes simple harmonic motion with the acceleration shown below:
ax(t)=−amaxsin(2πt/T+δ).
with amax = 8.49 m/s2, T = 7.5 s, and δδ = 0.93 rad.
What is the maximum speed of the electron?
What is the amplitude of the electron's position?
What is the change in velocity of the electron from t = 0
s to t = 3.85 s?
Homework Answers
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Note. Because the argument of the sine function is unitless,
your calculator must be in radian...
REMARKS In evaluating the sine or cosine function, the angle is in radians, so you should...
REMARKS In evaluating the sine or cosine
function, the angle is in radians, so you should either set your
calculator to evaluate trigonometric functions based on radian
measure or convert from radians to degrees.
QUESTION If the mass is doubled, is the magnitude
of the acceleration of the system at any position doubled, halved,
or unchanged?
doubled, halved, or unchanged?
PRACTICE IT
Use the worked example above to help you solve this problem.(a)
Find the amplitude, frequency, and period of...
REMARKS In evaluating the sine or cosine
function, the angle is in radians, so you should either set your
calculator to evaluate trigonometric functions based on radian
measure or convert from radians to degrees.
QUESTION If the mass is doubled, is the magnitude
of the acceleration of the system at any position doubled, halved,
or unchanged?
doubled, halved, or unchanged?
PRACTICE IT
Use the worked example above to help you solve this problem.(a)
Find the amplitude, frequency, and period of...
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