Question

HELP PLEASE What is the M.A. (Mechanical Advantage) of a screwdriver with a radius from the center to the outermost edge of the tip of 50.0 mm, and the radius of the handle of 240 mm? Remember that there are 1000.0 mm in 1.0000 m, and while solving the problem show your work of course.

Answer 1

The Mechanical Advantage (MA) of a tool is the ratio of the output force to the input force. In the case of a screwdriver, the output force is the force applied to the tip of the screwdriver, and the input force is the force applied to the handle.

To calculate the MA of the screwdriver, we need to use the following formula:

MA = Output Force / Input Force = (Distance from the center to the outermost edge of the tip) / (Distance from the center to the outermost edge of the handle)

The radius from the center to the outermost edge of the tip of the screwdriver is 50.0 mm and the radius of the handle is 240 mm. To find the distance, we need to double the radius.

Distance from the center to the outermost edge of the tip = 2 * 50.0 mm = 100.0 mm

Distance from the center to the outermost edge of the handle = 2 * 240 mm = 480.0 mm

Now we can use the formula to calculate the MA:

MA = 100.0 mm / 480.0 mm = 0.208333

So the MA of the screwdriver is 0.208333. This means that for every 1 N of force applied to the handle, the tip of the screwdriver will exert 0.208333 N of force on the screw.

Step-by-step explanation: