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anastassius [24]
3 years ago
15

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

e?
Physics
2 answers:
arlik [135]3 years ago
7 0

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

faltersainse [42]3 years ago
4 0

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

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