Question

(Double points) A worker applied 27 newtons to a lever with a length of 4 meters that rotated around a hinge. What was the torque?

Answer 1

Answer: Torque T = 108 Nm

Explanation:

Torque or turning effect is the rotational equivalent of linear force, i.e moment of force about a point.

Given that the force is applied perpendicular to the edge (angle 90°)

Torque can be represented by T;

T = FrSin∅ = Fr ( sin90 = 1)

T = force × distance

T = F × r

F = 27N

r = 4m

T = 27N × 4m

T = 108 Nm

Answer 2

Answer:

The torque was 108 N m

Explanation:

Torque is the cross product between the vector position where the force is applied with respect the axis of rotation and the force applied:

$\overrightarrow{\tau}=\overrightarrow{r}\times\overrightarrow{F}$

The magnitude is:

$\tau =rF\sin \theta$

If the force is applied on an extreme of the lever, the hinge is in the other extreme and the applied force is perpendicular to the lever:

$r=4m$, $F=27N$, $\theta=90 Celcius$

So:

$\tau=(4m)(27N)\sin (90)=(108Nm)(1)$

$\tau=108 Nm$