Answer
414.6k+ views
Hint:-We have been given two known variables: torque (0.5N) and force (50N) and an unknown variable: width of the driver. Apply the general formula for torque, here the radius is the width of the screw driver because the torque is acting along the width of the screw driver.
Formula Used: The formula for torque is given by:
$\tau = r \times F$;
Where:
$\tau = Torque$;
$r = {\text{ Radius / width of the screw driver}}$;
$F = Force$;
Complete step-by-step solution
Here apply the formula of torque and solve the unknown value that is the width of the screw driver:
$\tau = r \times F$;
Put the given value in the above equation;
$0.5 \times 100Ncm = r \times 50N$;
Keep the radius “r” on the RHS and take the other quantity to LHS,
$\dfrac{{0.5 \times 100}}{{50N}} = r$;
The value of r which is the width of the screw driver is:
$r = 1cm$;
Final Answer: Option “3” is correct. The width of the screw driver is 1cm.
Note:-
Torque is defined as the angular force required to rotate the object. Just like we have studied about the force F, the torque is just angular equivalent of the linear force. The formula$\tau = r \times F$ gives the relation between linear and angular force. The scalar version of the formula is $\tau = rF\sin \theta $. Where the angle plays an important role in determining the torque.
Formula Used: The formula for torque is given by:
$\tau = r \times F$;
Where:
$\tau = Torque$;
$r = {\text{ Radius / width of the screw driver}}$;
$F = Force$;
Complete step-by-step solution
Here apply the formula of torque and solve the unknown value that is the width of the screw driver:
$\tau = r \times F$;
Put the given value in the above equation;
$0.5 \times 100Ncm = r \times 50N$;
Keep the radius “r” on the RHS and take the other quantity to LHS,
$\dfrac{{0.5 \times 100}}{{50N}} = r$;
The value of r which is the width of the screw driver is:
$r = 1cm$;
Final Answer: Option “3” is correct. The width of the screw driver is 1cm.
Note:-
Torque is defined as the angular force required to rotate the object. Just like we have studied about the force F, the torque is just angular equivalent of the linear force. The formula$\tau = r \times F$ gives the relation between linear and angular force. The scalar version of the formula is $\tau = rF\sin \theta $. Where the angle plays an important role in determining the torque.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)