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 65 N·m. Using the data in the figure, determine the magnitude F of the force that you must exert on the wrench.
To determine the magnitude of the force (F) that you must exert on the wrench to tighten the spark plug to the specified torque of 65 N·m, we can use the formula:
Torque (τ) = Force (F) × Distance (d)
In this case, the torque is given as 65 N·m. However, the distance (d) is not provided in the question. The distance refers to the perpendicular distance from the axis of rotation (center of the spark plug) to the point where the force is applied (handle of the wrench).
Since the distance is not given, we cannot determine the exact magnitude of the force without additional information.
To find the magnitude of the force, you will need to measure the distance (d) from the axis of rotation to the point where you will apply the force using a ruler or any suitable measuring tool.
Once you have measured the distance (d) in meters, you can substitute the values into the formula:
65 N·m = F × d
Rearrange the equation to solve for the force (F):
F = 65 N·m / d
Therefore, to determine the magnitude F of the force that you must exert on the wrench, you will need to measure the distance (d) and substitute it into the equation F = 65 N·m / d.