00:01
We're told we have a simple pendulum that consists of a bob attached to a cord oscillates a in the vertical plane with a period of 1 .3 seconds.
00:10
Assuming simple harmonic motion and knowing that the maximum velocity of the bob is 0 .4 meters per second, we want to find the amplitude of the motion in degrees and the maximum tangential acceleration acceleration.
00:22
So we're given the period and we're given the maximum linear velocity, which is l, the length, of the chord times the maximum angular velocity.
00:38
The maximum angular velocity, because its simple harmonic motion, is going to be the amplitude times the natural frequency.
00:48
Now we don't know what l is, but we can figure that out because if we know what t the natural period is, then we can get the linear natural frequency is 1 over t and the circular natural frequency is 2 pi over 3, 1 .3 or t, and that gives us 4 .833 radiance per second.
01:09
And we know for a simple pendulum, that's square root of g over l...