Simple Pendulums: Calculating Time to Attain Greatest Speed

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The discussion focuses on calculating the time it takes for a simple pendulum to reach its maximum speed after being released. The pendulum has a length of 0.67 m, and the initial calculations for frequency using the formula f=(1/2pi)(g/L)^0.5 yield a frequency of 6.007 Hz. However, the calculated period T is incorrect; it should be T=1/f, resulting in T=0.166 seconds. To find the time to attain maximum speed, one should divide the period by four, as reaching the lowest point takes one-quarter of the full period. This adjustment is crucial for obtaining the correct time.
alyse!!
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Homework Statement




A simple pendulum is made from a 0.67 m long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?

Homework Equations



f=frequency
f=(1/2pi)(g/L)^.5

f=1/T
where T=period

The Attempt at a Solution




f=1/T

f=(1/2pi)((9.8m/s^2)/0.67m))^.5
f=6.007

f=1/T
6.007=1/T
T=1/6.007
T=.166s

This is the answer that i got but it is wrong and i do not know why, and now how to do it if this is the wrong way.
 
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alyse! said:
f=(1/2pi)((9.8m/s^2)/0.67m))^.5
f=6.007
Redo this calculation.
 
Redo the calculation, perhaps, and divide period by 4, since reaching the bottom takes one-quarter of the period.
 
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