Question
In: Physics
How to slove: Simple Harmonic Motion Amplitude = 10ᵒ m = 100.0 g Length =...
How to slove: Simple Harmonic Motion
| Amplitude = 10ᵒ | m = 100.0 g | |||||||||||||
| Length = | 1.000 m | 0.850 m | 0.700 m | 0.550 m | 0.400 m | 0.250 m | 0.100 m | |||||||
| Trial | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) | t10 (s) | T (s) |
| 1 | ||||||||||||||
| 2 | ||||||||||||||
| 3 | ||||||||||||||
| 4 | ||||||||||||||
| 5 | ||||||||||||||
| Average: | ||||||||||||||
Solutions
Expert Solution
We have plotted scatter graph of Period square 
vs. Length of string 
and its linear best-fit line. The Y-values represent the period
square
and X-values represent the length of string
.
The linear best-fit line equation is:
The slope 
of the best-fit line equation is:
The Y-intercept 
of the best-fit line equation is:
Therefore, the best-fit line equation is:
We know that the period of the pendulum is expressed as:
Equating equation (1) and (2) gives the slope of the linear
best-fit line is equal to term 
.
Therefore, the experimental value of the gravitational
acceleration is 
.
The percentage difference between experimental value of the
gravitational acceleration
and theoretical value of the gravitational acceleration 
is calculated as:
genius_generous answered 2 years agoRelated Solutions
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