Question 148: Units , Dimensions and Error Analysis

Question

If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is :

Accepted Answer

$$T = 2\pi \sqrt {{l \over g}} $$
$${{\Delta T} \over T} = {1 \over 2}{{\Delta l} \over l}$$
$$\Delta T = {1 \over 2} 	imes {{0.1} \over {100}} 	imes 24 	imes 3600$$
$$\Delta T = 43.2$$

Answer

86.4 s

Answer

4.32 s

Answer

43.2 s

Answer

8.64 s

Units , Dimensions and Error Analysis

If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is :

Choose the correct answer: