Don’t forget to show a sample calculation next to the data table and round your final answer to the proper number of significant figures.
v = 2d
t
2(5.0 m)
v = 3.47 s
v = 2.9 m/s
On graph paper (provided), graph the velocity versus the length and draw a best­fit line. Velocity vs. Length
Velocity (m/s)
Velocity vs. Length
Length (m)
Velocity (m/s)
Velocity vs. Length
5.0
5.5
6.0
Length (m)
6.5
7.0
Velocity vs. Length
4.4
Velocity (m/s)
4.0
3.6
3.2
2.8
2.4
5.0
5.5
6.0
Length (m)
6.5
7.0
Velocity vs. Length
4.4
Velocity (m/s)
4.0
3.6
3.2
2.8
2.4
5.0
5.5
6.0
Length (m)
6.5
7.0
Velocity vs. Length
4.4
Velocity (m/s)
4.0
3.6
3.2
2.8
2.4
5.0
5.5
6.0
Length (m)
6.5
7.0
Velocity vs. Length
4.4
Velocity (m/s)
4.0
3.6
3.2
2.8
2.4
5.0
5.5
6.0
Length (m)
6.5
7.0
Velocity vs. Length
4.4
Velocity (m/s)
4.0
(6.25, 3.85)
3.6
3.2
(5.5, 3.25)
2.8
2.4
5.0
5.5
6.0
Length (m)
6.5
7.0
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
First find the slope of the line:
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
First find the slope of the line:
v
slope = Δ
ΔL
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
First find the slope of the line:
v v2 ­ v1
Δ
= slope = 2 ­ L1
ΔL L
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
First find the slope of the line:
m
m
/s
­ 3.25
/
3.85
v
­ v
v
s
2
1
Δ
= = slope = L
­ L
6.25m ­ 5.5m
ΔL 2 1
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
First find the slope of the line:
m
m
/s
­ 3.25
/
3.85
v
­ v
v
s
2
1
Δ
= 0.80s­1
= = slope = 6.25m ­ 5.5m
2 ­ L1
ΔL L
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
v = (0.80s­1)L + b
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
v = (0.80s­1)L + b
Substitute in a data point
(6.25, 3.85)
to find the intercept:
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
v = (0.80s­1)L + b
Substitute in a data point
(6.25, 3.85)
to find the intercept:
3.85m/s = (0.80s­1)6.25m + b
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
v = (0.80s­1)L + b
Substitute in a data point
(6.25, 3.85)
to find the intercept:
3.85m/s = (0.80s­1)6.25m + b
b = ­1.2m/s
Based on the shape of the graph, is there a relationship between the length of slinky and the velocity of the wave? What is the relationship?
As Length ,
Velocity .
Bonus Points:
Make an equation for the relationship between velocity and length based on your graph.
v = (0.80s­1)L + b
Substitute in a data point
(6.25, 3.85)
to find the intercept:
3.85m/s = (0.80s­1)6.25m + b
b = ­1.2m/s
v = (0.80s­1)L + ­1.2m/s
Velocity vs. Length
4.4
Velocity (m/s)
4.0
(6.25, 3.85)
3.6
3.2
2.8
2.4
5.0
(5.5, 3.25)
­1
m
v = (0.80s )L + ­1.2 /s
5.5
6.0
Length (m)
6.5
7.0