Question

A person using 50 cm long handle spanner can open a nut by applying 150 N force. What will be the moment of force of the spanner?

Answer 1

Answer:

• 75 Newton is the required moment of force.

Explanation:

According to the Question

It is given that ,

• Magnitude of Applied Force ,F = 150N
• Perpendicular Distance = 50cm

we have to calculate the moment of force .

As we know that Moment of Force is calculated by the product of Force and its perpendicular distance.

Firstly we change the unit here

Conversion of Unit :

↠ Perpendicular Distance = 50/100 m

↠ Perpendicular Distance = 0.5m

Now, calculating the Moment of Force by using Formula.

• Moment of Force = Force×Perpendicular distance

by putting the value we get

↠ Moment of Force = 150×0.5

↠ Moment of Force = 15×5

↠ Moment of Force = 75N

• Hence, the moment of force will be 75 Newton.

Answer 2

$\large\underline{\underline{\maltese{\orange{\pmb{\sf{\: Given :-}}}}}}$

• ➬ Length of spanner = 50 cm
• ➬ Force applied to open the nut = 150 N

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

$\large\underline{\underline{\maltese{\color{pink}{\pmb{\sf{\: To \: Find:-}}}}}}$

• ➬ What is the moment of force = ?

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$\large\underline{\underline{\maltese{\color{darkblue}{\pmb{\sf{\: Solution:-}}}}}}$

❒ Formula Used :

Moment of force :

$\large{\blue{\bigstar{\underline{\boxed{\red{\sf{ Moment\: of \:Force = Force \times Distance}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Requird Converting :

1 m = 100 cm. Hence,

$\blue{\leadsto}{\sf{perpendicular Distance = \dfrac{50}{100}}}$

$\blue{\leadsto}{\sf{perpendicular Distance = \cancel\dfrac{50}{100}}}$

$\large\pink{\leadsto{\underline{\sf{ 0.5 m}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Finding the moment of force :

$\qquad{:\implies{\sf{ Moment\: of \:force = Force \times Distance }}}$

$\qquad{:\implies{\sf{ Moment\: of \:force = 150 \times 0.5 }}}$

$\qquad\large{\red{:\longmapsto{\underline{\overline{\boxed{\green{\sf{ Moment \: of\: force = {\red{\sf{ 75 N}}}}}}}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━━━━━━}$

❒ Therefore :

❝ Moment of force on the nut is 75 N. ❞

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