Calculating Tension: Forces and Vectors in a 1.8 kg Pendulum with 2.3 m String

In summary, the formula for calculating tension in a pendulum is T = (m x g x l) / (l + h), the force of gravity in a pendulum is determined by multiplying the mass by the acceleration due to gravity, the length of the string is a crucial factor in calculating tension, different units of measurement can be used for length and mass, and the tension in a pendulum changes as the mass and length of the string are altered.
  • #1
alynnaD
1
0
A bob of mass 1.8 kg attached to a string of length 2.3 m. The pendulum is held at an angle of 30 degrees from the vertical by a horizontal string attached to a wall.

What is the tension in the horizontal string?
 
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  • #2
Hi alynnaD and welcome to PF. Please follow the rules of this forum and use the template when you seek help with homework. Show us the relevant equations and tell us what you tried and what you think about the problem. We just don't give answers away.
 

FAQ: Calculating Tension: Forces and Vectors in a 1.8 kg Pendulum with 2.3 m String

1. What is the formula for calculating tension in a pendulum?

The formula for calculating tension in a pendulum is T = (m x g x l) / (l + h), where T is the tension, m is the mass of the pendulum, g is the acceleration due to gravity, l is the length of the string, and h is the height of the pendulum's center of mass.

2. How do you determine the force of gravity in a pendulum?

The force of gravity in a pendulum is determined by multiplying the mass of the pendulum by the acceleration due to gravity, which is approximately 9.8 m/s^2 on Earth.

3. What is the significance of the length of the string in calculating tension?

The length of the string is a crucial factor in calculating tension in a pendulum because it affects the angle at which the pendulum swings and the distance between the pendulum's center of mass and the pivot point. A longer string will result in a larger angle and a greater distance, thus increasing the tension.

4. Can you use a different unit of measurement for length and mass in the tension formula?

Yes, the length can be measured in any unit of length (such as centimeters or inches) and the mass can be measured in any unit of mass (such as grams or pounds). However, it is important to ensure that the units are consistent throughout the calculation.

5. How does the tension in a pendulum change as the mass and length of the string are altered?

If the mass of the pendulum is increased, the tension will also increase because there is more weight pulling on the string. Similarly, if the length of the string is increased, the tension will also increase because the pendulum will have a larger swing and thus exert more force on the string. Conversely, decreasing the mass or length of the string will result in a decrease in tension.

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