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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)
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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 ago
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