Question

Calculate the magnitude of the force of a couple which produces a moment of 21 Nm and the arm of the couple is 63 cm.

Answer 1

${\underline{\underline{\sf{Given:-}}}}$

• Moment of couple = 21 Nm
• Arm of couple = 63 cm = 0.63 m

${\underline{\underline{\sf{To\: find:-}}}}$

• The magnitude of the force of couple.

${\underline{\underline{\sf{Solution:-}}}}$

We know that,

${\boxed{\sf{Moment\:of\: couple=F\times\:Arm\:of\: couple}}}$

Moment of couple = F × Arm of couple

$\implies\sf{21=F\times\:0.63}$

$\implies\sf{\dfrac{21}{0.63}=F}$

$\implies\sf{33.33=F}$

$\implies\sf{F=33.33}$

Hence , the magnitude of the force of a couple will be 33.33 N.

Answer 2

Given:-

• Moment of couple is 21 Nm.
• Arm of couple is 63 cm.

⠀

To find:-

• Magnitude of the force of a couple.

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Solution:-

☆ In this question we have given Moment of couple and Arm of couple. We have to find out the magnitude of the force of a couple. Let's do it.

⠀

Here,

• Moment of couple = 21 Nm
• Arm of couple = 63 cm = 0.63 m

⠀

We know that,

⇢ Moment of couple = F × Arm of couple

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• Putting the values,

⠀

⇢ 21 = F × 0.63

⇢ 21/0.63 = F

⇢ 33.33 = F

⇢ F = 33.33

⠀

Hence,

• The magnitude of the force of a couple will be 33.33 N.