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.

e) none of the above answers are correct

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.