Question 125: Units , Dimensions and Error Analysis

Question

A torque meter is calibrated to reference standards of mass, length and time each with $$5 \%$$ accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :

Accepted Answer

We know that, torque applied on a rotating body,
$$
\begin{aligned}
	au &=	ext { Force } 	imes 	ext { Perpendicular distance } \\
\Rightarrow \quad[	au] &=\left[\mathrm{MLT}^{-2}ight][\mathrm{L}] \Rightarrow[	au]=\left[\mathrm{ML}^2 \mathrm{~T}^{-2}ight]
\end{aligned}
$$
$$ \Rightarrow {{\Delta 	au } \over 	au } = {{\Delta M} \over M} + 2{{\Delta L} \over L} + 2{{\Delta T} \over T}$$
$$ = 5 	imes 5\%  = 25\% $$

Answer

15%

Answer

25%

Answer

75%

Answer

5%

Units , Dimensions and Error Analysis

A torque meter is calibrated to reference standards of mass, length and time each with $5 \%$ accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :

Choose the correct answer: