Spring: Hertz and Hooke S Law
Due Date: March 12, 2013
Introduction Hooke's law states that force is directly proportional to the displacement of the spring that has been stretched or compressed from the equilibrium position. The force that takes place is referred to as a restoring force because it acts on an object to return it to a state of equilibrium. This is Hooke’s Law. It can be shown as: F = -kx
In the first formula ---> F is the force of weight k is the spring constant x is the displacement
In this lab, we would have to know about the Simple Harmonic Motion (SHM). T is the period m is the mass k is the spring constant
The characteristics of a wave are wavelength, amplitude, period and frequency. Wavelength is the length of the repeating wave shape. Amplitude is the maximum displacement or the greatest distance from the equilibrium point. Period is the time, in seconds, required to complete one cycle, and frequency is the number of cycles per second. Frequency is generally specified as Hertz (Hz) where 1 HZ = 1 cycle per second.
Purpose: The purpose of this lab is to manipulate and apply the concepts of Hooke’s law and determine the spring constant with the formula:
Procedure
1. Gather all your materials needed for the experiment.
2. Choose your surface.
3. Hang the spring on the assembled stand.
4. Attach the weight at the bottom of the spring.
5. Record the initial length of the spring.
6. Measure the length of the spring with the weights
7. Remove weights and record the number of cycles in 1 minute
8. Repeat 4 more times with different weights
Data
Mass
X0
Xf
Δx
frequency
k
k
.50 kg
.17 m
.21 m
.04 m
2.2 Hz
.45 kg
.17 m
.20 m
.03 m
2.3 Hz
.35 kg
.17 m
.19 m
.02 m
2.7 Hz
.25 kg
.17 m
.18 m
.01 m
2.7 Hz
.15 kg
.17 m
.17 m
.01 m
3.5 Hz
Analysis: (see attached paper)
Mass
X0
Introduction Hooke's law states that force is directly proportional to the displacement of the spring that has been stretched or compressed from the equilibrium position. The force that takes place is referred to as a restoring force because it acts on an object to return it to a state of equilibrium. This is Hooke’s Law. It can be shown as: F = -kx
In the first formula ---> F is the force of weight k is the spring constant x is the displacement
In this lab, we would have to know about the Simple Harmonic Motion (SHM). T is the period m is the mass k is the spring constant
The characteristics of a wave are wavelength, amplitude, period and frequency. Wavelength is the length of the repeating wave shape. Amplitude is the maximum displacement or the greatest distance from the equilibrium point. Period is the time, in seconds, required to complete one cycle, and frequency is the number of cycles per second. Frequency is generally specified as Hertz (Hz) where 1 HZ = 1 cycle per second.
Purpose: The purpose of this lab is to manipulate and apply the concepts of Hooke’s law and determine the spring constant with the formula:
Procedure
1. Gather all your materials needed for the experiment.
2. Choose your surface.
3. Hang the spring on the assembled stand.
4. Attach the weight at the bottom of the spring.
5. Record the initial length of the spring.
6. Measure the length of the spring with the weights
7. Remove weights and record the number of cycles in 1 minute
8. Repeat 4 more times with different weights
Data
Mass
X0
Xf
Δx
frequency
k
k
.50 kg
.17 m
.21 m
.04 m
2.2 Hz
.45 kg
.17 m
.20 m
.03 m
2.3 Hz
.35 kg
.17 m
.19 m
.02 m
2.7 Hz
.25 kg
.17 m
.18 m
.01 m
2.7 Hz
.15 kg
.17 m
.17 m
.01 m
3.5 Hz
Analysis: (see attached paper)
Mass
X0