Pendulum equations - HELP review work, out sick

In summary, pendulum equations are mathematical formulas used to describe the motion of a pendulum. These equations take into account factors such as length, mass, and gravity to determine the period and frequency of the pendulum's oscillations. The period of a pendulum 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. To solve problems using pendulum equations, known values can be plugged into the appropriate equation to find the unknown variable. When the length of a pendulum is changed, the period also changes in proportion to the square root of the length. These equations can also be used to calculate the period of a
  • #1
maggiequigs
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Pendulum equations - HELP! review work, out sick

Homework Statement


What is the period ofa pendulum which makes thirty oscillations in 75.0 seconds?


Homework Equations


HELP!
T = [l]\frac{}{}[/f]

This is what I need!


The Attempt at a Solution


t=[75]\frac{}{}[/30] = 2.5


I was out for an entire week, and the teacher sent home a sheet full of questions like this. I don't have any of the equations though. Help please!?
 
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  • #2


The period is the time it takes a pendulum to complete one oscillation. If it makes 30 in 75 seconds how long will it take to do one?
 
  • #3


Dear student,

I understand that you were out sick and are now looking for help with pendulum equations. The equation you are looking for is T = 2π√(l/g), where T is the period (in seconds), l is the length of the pendulum (in meters), and g is the acceleration due to gravity (9.8 m/s^2). In this case, you are given the number of oscillations (30) and the time it takes (75 seconds), so you can rearrange the equation to solve for l.

T = 2π√(l/g)
75 = 2π√(l/9.8)
75/2π = √(l/9.8)
(75/2π)^2 = l/9.8
l = (75/2π)^2 * 9.8

Therefore, the length of the pendulum is approximately 9.65 meters. I hope this helps with your review work. If you need further clarification or have any other questions, please don't hesitate to ask. Best of luck to you!
 

Related to Pendulum equations - HELP review work, out sick

1. How do pendulum equations work?

Pendulum equations are mathematical formulas that describe the motion of a pendulum, which is a weight attached to a fixed point by a string or rod. The equations take into account factors such as the length of the pendulum, the mass of the weight, and the force of gravity to determine the period and frequency of the pendulum's oscillations.

2. Can you explain the equation for the period of a pendulum?

The period of a pendulum is given by the formula T = 2π√(L/g), where T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity (9.8 m/s²). This equation shows that the period of a pendulum is directly proportional to the square root of its length, meaning that longer pendulums have longer periods.

3. How do I use pendulum equations to solve problems?

To use pendulum equations to solve problems, you first need to identify the known values, such as the length of the pendulum, mass of the weight, and acceleration due to gravity. Then, you can plug these values into the appropriate equation to solve for the unknown variable. It is important to keep track of units and use consistent units throughout the calculation.

4. What happens to the period of a pendulum when the length is changed?

As mentioned earlier, the period of a pendulum is directly proportional to the square root of its length. This means that if the length of a pendulum is increased, the period will also increase. Similarly, if the length is decreased, the period will decrease as well.

5. Can you use pendulum equations to calculate the period of a pendulum on different planets?

Yes, pendulum equations can be used to calculate the period of a pendulum on different planets. The only variable that would change is the acceleration due to gravity, which is different on each planet. By using the appropriate value for g in the equation, you can calculate the period of a pendulum on any given planet.

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