Errors and uncertainties
 

Errors and uncertainties problem 30


The figure below shows a horizontal beam clamped at one end with a block attached to the other end.




The block is made to oscillate vertically. The Young modulus of the material of the beam is given by




where

is the mass of the block,

is the period of the oscillations and

is a constant.


A student determines the values and percentage uncertainties of , , and . The table below lists the percentage uncertainties.



The student uses the values of , and to calculate the value of as .


  • Calculate the percentage uncertainty in the value of .

  • Use your answer in (b)(i) to determine the value of , with its absolute uncertainty, to an appropriate number of significant figures.


 

main author and content editor: Noble Menedi Firima