Question

1. Calculate the percent error, and the theoretical and experimental values of the period of the pendulums (A and B):

A. Data for long pendulum:

B. Data for a short pendulum:

Long Pendulum: Table 1. L(m 357 02623 Table 2 Trial (dearee ad S 0.984 10.14 3.69 1.07 0.382 7.39 0.981 2.77 0.785 0.280 4.76 11.97 0.986 1.27 0.453 4 9.97 0.987 6.14 1.05 0.375 0.984 10.1 3.93 1.06 0.378 9.51 0.983 7.73 1.01 0.360 8.94 0.987 7.06 0.953 0.340 5.9 6.02 0.987 0.639 0.228 11.75 0.984 7.98 1.25 0.446 10 13.92 0.984 6.45 1.48 0.528 Short Pendulumm Table 3 L(m 175 001216 Table 4 Trial (degree degree rad/s m/s 7.39 0.654 1.14 0.20 5.90 0.664 12.40 0.907 0.159 2 7.49 5.09 0.640 0.189 0.033 11.06 0.645 10.52 1.62 0.284 5 2.9 12.55 0.644 1.89 0.331 9.34 0.647 7.93 1.39 0.243 9.85 0.654 1.50 0.263 6.59 0.659 9.37 0.302 0.053 8.25 0.632 10.74 0.373 0.065 10 3.4 9.51 0.680 1.33 0.233

Answer 1

A. Long pendulum:

Theoretical value of the period of the pendulum:

0.3571.199 s = 1.199 9.8

Experimental value of the period of the pendulum:

Ter = Man ualue of T for all 10 trials =0.985 s

Percentage error:

.199 - 0.985 Error-rth-ler Ith × 100-17.84 percent 1.199

B. Short pendulum:

Theoretical value of the period of the pendulum:

0.175 0.840 s 9.8

Experimental value of the period of the pendulum:

Ter = Man ualue of T, for all 10 trials 0.652 s

Percentage error:

​​​​​​​

× 100 -0.840- 0.840 Tin-la × 100 × 100 = 22.38 percent rror = - Ith