Answer to Question #230820 in Physics for Chichi

Question

The metre rule used as a cantilever to perform an oscillation experiment and the result shown below were obtained where t is time for 20 oscillation and L is length of the oscillation portion of the cantilever

t(s)-- 4.90, 6.63, 8.25, 8.94, 10.88, 11.83

L(cm)-- 40.00, 50.00, 60.00,70.00,80.00,90.00

(a) If the relation between the period T and L is given by T²=A/B(L³), determine the value of A/B and state it's S.I unit (b) calculate the standard error in A/B

Answer 1

1) Input this Data in Excel

2) Plot a graph, add a trendline, set intercept, add equation:

3) We see that

$$A/B=2.1663.$$

The units are $\text{m}^3/\text{s}^2.$