A football player kicks a football, from ground level, with an initial velocity of 27.0 m/s at an angle 30° above the horizontal
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Answer: The period of the subsequent simple harmonic motion is 1.004 sec.
Explanation:
The given data is as follows.
Mass of disk (m) = 2.2 kg, radius of the disk (r) = 61.2 cm,
Formula to calculate the moment of inertia around the center of mass is as follows.
=
= 0.412
Also,
Distance between center of mass and axis of rotation (d) = r = 0.612 m
Moment of inertia about the axis of rotation (I)
I =
I =
= 0.339
Now, we will calculate the time period as follows.
T =
T =
T = 1.435 sec
T =
= 1.004 sec
Thus, we can conclude that the period of the subsequent simple harmonic motion is 1.004 sec.
The resistance of a conductor is given by
where L is the length of the wire,
the resistivity of the material and A the cross-sectional area.
We can see that if all the other quantities do not change, if the new length of the conductor is 4 times the original length:
, then the new resistance is also 4 times the original value:
where L is the length of the wire,
We can see that if all the other quantities do not change, if the new length of the conductor is 4 times the original length: