Simple Pendulum Angle Problem: Solving for Angular Acceleration

In summary, The conversation discusses using a simple pendulum to calculate the time it takes for the pendulum bob to reach its highest speed. There is confusion about the equation for the period of a pendulum and whether or not it should be multiplied by 2pi. The person also notes that the pendulum will reach its highest speed at the bottom of its swing, and the equation for the period of a pendulum is T = \sqrt \frac {m}{g}.
  • #1
badman
57
0
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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  • #2
what are you trying to figure out? what is the question asking for?
 
  • #3
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.
 
  • #4
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 [tex] T = \sqrt \frac {m}{g}[/tex]
 
  • #5
yeah but the eqaution has to be multiplied by 2 pi
 
  • #6
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.
 

What is a simple pendulum?

A simple pendulum is a mass attached to a pivot point by a string or rod that is able to swing freely back and forth under the force of gravity.

What factors affect the angle of a simple pendulum?

The angle of a simple pendulum is affected by the length of the string, the mass of the pendulum, and the force of gravity acting on the pendulum.

How is the angle of a simple pendulum measured?

The angle of a simple pendulum is measured by the displacement of the pendulum from its resting position, usually in degrees or radians.

What is the relationship between the angle and the period of a simple pendulum?

The angle and the period of a simple pendulum are inversely proportional, meaning that as the angle increases, the period decreases and vice versa.

How can the angle of a simple pendulum be calculated?

The angle of a simple pendulum can be calculated using the formula θ = sin^-1 (L/g), where L is the length of the string and g is the acceleration due to gravity. This formula assumes small angles of oscillation.

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