How much force is required to produce a torque of 100 Nm if the force is applied at an angle of 40 at a distance of 25 cm from the pivot?

Respuesta :

Answer:

Force, F = 622.28 N

Explanation:

It is given that,

Torque, [tex]\tau=100\ N-m[/tex]

Angle between force and displacement, [tex]\theta=40^{\circ}[/tex]

Distance, d = 25 cm = 0.25 m

We need to find the force required to produce the torque. Torque produced by an object is given by :

[tex]\tau=Fd\sin\theta[/tex]

F is force required to produce torque

[tex]F=\dfrac{\tau}{d\sin\theta}\\\\F=\dfrac{100}{0.25\times \sin(40)}\\\\F=622.28\ N[/tex]

So, applied force is 622.28 N.