A simple pendulum is set up in the school laboratory.

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A simple pendulum is set up in the school laboratory. (i) Write the mathematical relation connecting the time period

T

, the length

L

of the pendulum and the acceleration due to gravity

g

. (ii) Rearrange the expression obtained in part (i) to make

L

the subject of the formula. (iii) Explain why the numerical value of

L

calculated from the expression in part (ii) must be written in metres when

T

is in seconds and

g

is in

\text{m}\,\text{s}^{-2}

. (iv) If a pendulum shows a time period of

1.80\,\text{s}

at a place where

g = 9.80\,\text{m}\,\text{s}^{-2}

, calculate its length to two significant figures.