What Is the Time to Maximum Speed in a Simple Pendulum?

[eatingblaa]

1. A simple pendulum is made from a 0.773-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?



2. f = 1/2pi (g/l)^1/2



3. I thought that maximum speed would be when the string is vertical for the first time.
This would be when the pendulm had gone through 1/4 of a full oscillation.

So I calculated f =.567s
and 1/4 f = .142s,

But this is wrong,

Am I on the right track or way off?

 

[CompuChip]

I thought that maximum speed would be when the string is vertical for the first time.
This would be when the pendulm had gone through 1/4 of a full oscillation.

You thought well, but I don't think you did the calculation right. If I use the formula you provided, I get a frequency which is about 10 times larger. So you might want to redo the number crunching

 

[Jp_Garant]

I have seen some problems like this that have to do with Kinetic Energy.

Ek=1/2mv² so if you have any of the values for this, u can isolate for v like this:

v=√2(Ek)/m

OR.. If u can only work with potential energy you could use this equation

v=√2g▲h

▲h will be the change in height.. but ur looking for time.. so.. hmm.

You may need an equation that has "t" in it.. like P=w/t... if u could find the work done.. or something.. i don't know.. lol.. hope any of this helps.. sorry, I am just starting physics! :)