Simple Pendulum Angle Problem: Solving for Angular Acceleration

AI Thread Summary
The discussion revolves around calculating the time it takes for a simple pendulum to reach its highest speed after being pulled to an angle of 3.50 degrees and released. The correct approach involves recognizing that the pendulum's highest speed occurs at the lowest point of its swing. Participants clarify that the period of a pendulum is calculated using the formula T = 2π√(L/g), where L is the length and g is the acceleration due to gravity. Misunderstandings about the formula and its components are addressed, emphasizing the importance of including the 2π factor. Ultimately, the conversation highlights the need for clarity in applying the pendulum equations correctly.
badman
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You pull a simple pendulum of length 0.215 m to the side through an angle of 3.50 ^\circ and release it.

i got 0.93, but it marked it wrong. i divided the mass over the accel of gravity, squared it and multiplied by 2pi. is this wrong?
 
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what are you trying to figure out? what is the question asking for?
 
oh sorry

How much time does it take the pendulum bob to reach its highest speed?
Take free fall acceleration to be g = 9.80 m/s^2.
 
The pendulum will be at it's highest speed when it is at the bottom of it's swing.

Also, the equation for the period of a pendulum is T = \sqrt \frac {m}{g}
 
yeah but the eqaution has to be multiplied by 2 pi
 
badman said:
yeah but the eqaution has to be multiplied by 2 pi
Why? The low point is 1/4 of the way through the arc of the pendulum. Since it takes the same time to go to the bottom as it does to go to the high point on the other side which is the same as the time to come back to the middle from the high point which is the same amount of time to finally go from the low point to the original starting point.
 
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