Pendulum problem helpfinding weight

In summary, Martin used a stopwatch, a spring, and a 4.6 N weight to determine the weight of a fish. He first found that the spring oscillated 20 times in 65 seconds, and then hung the fish on the spring and observed it oscillating 20 times in 220 seconds. Using the equation omega=square root of (k/m), he was able to solve for the spring constant and then use it to find the weight of the fish.
  • #1
jmb07
27
0
Martin caught a fish and wanted to know how much it weighed, but he didnt have a scale. He did however have a stopwatch, a spring, and a 4.6 N weight. He attached the weight to the spring and found that the spring would oscillate 20 times in 65 s. Next, he hung the fish on the spring and found that it took 220 s for the spring to oscillate 20 times. What is the weight of the fish?

I know that omega=sqaure root of (k/m)
However, I just have no idea how to start or apply this equation to solve this problem.
 
Physics news on Phys.org
  • #2
Apply the equation to both cases
You know K is the same
You know the frequency in both cases
So you can write two equations with only one unknown - the second mass
 
  • #3
This is a typical spring question. Instead of telling you the spring constant directly they give you some information from which you can first derive k. Then you can reduce the problem to the basic "He hangs the fish on a spring with spring constant <fill in number you just calculated> N/m and found that it took 220 s for the spring to oscillate 20 times. What is the weight of the fish?"
 

FAQ: Pendulum problem helpfinding weight

How do I find the weight of a pendulum?

To find the weight of a pendulum, you will need to know the length of the pendulum, the period of its swing, and the acceleration due to gravity in that location. Using the formula for the period of a pendulum, T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity, you can solve for the weight of the pendulum using the equation W = mg, where m is the mass and g is the acceleration due to gravity.

What is the formula for calculating the period of a pendulum?

The formula for calculating the period of a pendulum is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity in that location.

How does the length of a pendulum affect its period?

The length of a pendulum directly affects its period. The longer the length of the pendulum, the longer the period will be. This is because the longer pendulum will take more time to complete a full swing due to the increased distance it must travel. This relationship is described by the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

Can the weight of a pendulum affect its period?

No, the weight of a pendulum does not affect its period. The period of a pendulum is determined by its length and the acceleration due to gravity in that location. The weight of the pendulum, or its mass, only affects the force of gravity acting on it, but it does not directly affect the period of the pendulum.

How do I measure the period of a pendulum?

The period of a pendulum can be measured by using a stopwatch to time the number of swings it takes to complete a full cycle. Start the stopwatch when the pendulum is released and stop it when it has completed one full swing, back to its starting position. Repeat this process several times and calculate the average time for one full swing. This will give you the period of the pendulum.

Back
Top