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

Option 1 - 15%

Option 2 - 25%

Option 3 - 75%

Option 4 - 5%

7 Views|Posted 8 months ago

Asked by Shiksha User

2 Answers

Sort by:

Answered by

Alok Kumar Singh | Contributor-Level 10

8 months ago

Correct Option - 2

Detailed Solution:

$T o r q u e \vec{τ} = \vec{r} * \vec{F}$

$[τ] = [L] [M L T^{- 2}]$

$[τ] = [M L^{2} T^{- 2}]$

as, $τ = m l^{2} t^{- 2}$

$\frac{d τ}{τ} * 100 = | \frac{d m}{m} * 100 | + 2 | \frac{d l}{l} * 100 | + 2 | \frac{d t}{t} * 100 |$

= 5 + 2 * 5 + 2 * 5

= 25 %

Upvote

Answered by

Alok Kumar Singh | Contributor-Level 10

8 months ago

$T o r q u e ? ? ? \overset{?}{?} = \overset{?}{r} * \overset{?}{F}$

$[?] = [L] [M L T^{? 2}]$

$[?] = [M L^{2} T^{? 2}]$

as, $? = m l^{2} t^{? 2}$

$\frac{d ?}{?} * 100 = | \frac{d m}{m} * 100 | + 2 | \frac{d l}{l} * 100 | + 2 | \frac{d t}{t} * 100 |$

= 5 + 2 * 5 + 2 * 5

= 25 %

Upvote

Taking an Exam? Selecting a College?

Get authentic answers from experts, students and alumni that you won't find anywhere else.

On Shiksha, get access to

66K

Colleges

1.2K

Exams

6.9L

Reviews

1.8M

Answers

Learn more about...

Physics Units and Measurement 2025

View Exam Details

8 Answered Questions

Share Your College Life Experience

Didn't find the answer you were looking for?

Search from Shiksha's 1 lakh+ Topics

Ask Current Students, Alumni & our Experts

Quick Actions

Community GuidelinesUser Points System

QuestionsDiscussionsTags

Have a question related to your career & education?

See what others like you are asking & answering