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

Step-by-step 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

The torque was 108 N m

Step-by-step 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}*\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`