You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 46 n · m. using the data in the drawing, determine the magnitude f of the force that you must exert on the wrench.

If the force is perpendicular to the wrench, and If we use a wrench that is 0.2m long, then

Explanation:

As there is no draw in the question, we can imagine the spark plug being in a point were the wrench starts, and the force being exerted where the wrench ends. As the torque is a vectorial quantity, we imagine the force being exerted in a direction perpendicular to the wrench, and the wrench with a longitude l. The definition of torque is

and as we exerted the force perpendicular to the wrench, θ is 90°, so sen(90°) is equal to 1. Then

Now, if the wrench is 0.2 m long, then

is the magnitude F of the force exerted to get 46 Nm of torque.

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