Question

A force of 250 N produces a moment of force of 500 N m. Calculate the moment arm.

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Answer 1

Answer:

Given :-

• A force of 250 N produce a moment of force of 500 Nm.

To Find :-

• What is the moment of arm.

Formula Used :-

$\clubsuit$ Torque Formula :

$\mapsto \sf\boxed{\bold{\pink{\tau =\: r \times F}}}$

where,

• $\sf \tau$ = Torque
• r = Moment of arm
• F = Force

Solution :-

Given :

$\bigstar\: \: \bf{Torque\: (\tau) =\: 500\: Nm}$

$\bigstar\: \: \bf{Force\: (F) =\: 250\: N}$

According to the question by using the formula we get,

$\longrightarrow \sf 500 =\: r \times 250$

$\longrightarrow \sf \dfrac{50\cancel{0}}{25\cancel{0}} =\: r$

$\longrightarrow \sf \dfrac{\cancel{50}}{\cancel{25}} =\: r$

$\longrightarrow \sf \dfrac{\cancel{10}}{\cancel{5}} =\: r$

$\longrightarrow \sf \dfrac{2}{1} =\: r$

$\longrightarrow \sf 2 =\: r$

$\longrightarrow \sf\bold{\red{r =\: 2\: metres}}$

${\small{\bold{\purple{\underline{\therefore\: The\: moment\: of\: arm\: is\: 2\: metres\: .}}}}}$

Answer 2

2 metres is answer hope it's helpful to you