Length of Pendulum Homework: Find String Length

In summary, the conversation discusses finding the length of a string based on the oscillations of a pendulum. The student tried using the formula T = 2pi sqrt L/g, but did not get the correct answer. They then attempted to solve for L using the period and frequency, but realized they had the two values backwards.
  • #1
cupcakequeen
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Homework Statement



A 319g ball is tied to a string. It is pulled to an angle of 7.60 degrees and released to swing as a pendulum. A student with a stopwatch finds that 14 oscillations take 13.0s.
What is the length of the string?

Homework Equations


I have already tried using T = 2pi sqrtL/g, but that does not give me the right answer.


The Attempt at a Solution

 
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  • #3
13 oscillations/14 seconds = 1.07 for T, and 1/1.07 = 0.928s for f.
Then I tried T = 2pi sqrt L/g, so 1.07 = 6.28 sqrt L/9.8m/s, then divided each side by 6.28 and got 0.170 = sqrt L/9.8, then squared each side, so 0.029 = L/9.8, then solve for L = 0.2842m, which is wrong according to MasteringPhysics.
 
  • #4
How far off is your answer?

It looks okay to me. Is the g value for Earth or some other planet?
 
Last edited:
  • #5
I figured it out...I had period and frequency backwards
 

FAQ: Length of Pendulum Homework: Find String Length

What is a pendulum?

A pendulum is a weight suspended from a pivot point that swings back and forth due to the force of gravity. It is used to measure time and has been used in clocks and other timekeeping devices for centuries.

How is the length of a pendulum related to its period?

The length of a pendulum is directly proportional to its period, which is the time it takes for one complete swing. This means that as the length of a pendulum increases, its period also increases, and vice versa.

Why is it important to find the string length of a pendulum?

Finding the string length of a pendulum is important because it allows us to accurately measure its period and understand the relationship between length and period. This information is crucial in various applications, such as clock-making and studying the effects of gravity.

How do you find the string length of a pendulum?

To find the string length of a pendulum, you will need to measure the distance from the pivot point to the center of mass of the pendulum. This is the length of the string required for the pendulum to have a specific period, which can be calculated using the formula T = 2π√(L/g), where T is the period, L is the length, and g is the acceleration due to gravity.

What factors can affect the accuracy of finding the string length of a pendulum?

The accuracy of finding the string length of a pendulum can be affected by factors such as air resistance, friction at the pivot point, and the weight of the pendulum itself. To minimize these effects, it is important to conduct the experiment in a controlled environment and use a lightweight, aerodynamic pendulum with a smooth pivot point.

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