A crowbar lever , with a 3 inch long nail remover connected to a 20inch handle. If you push down on the handle end with a force of 40 N, what force is available to remove a nail? HINT: a Crowbar isnt all that different from a seesaw, except the pivot is far off center.
To determine the force available to remove a nail using the crowbar lever, we can apply the principle of moments. Moments, also known as torques, refer to the rotational force around a pivot point.
In this case, the crowbar acts as a lever, and the pivot point is the connected joint between the nail remover and the handle. The length of the nail remover is 3 inches, and the length of the handle is 20 inches.
To find the force available to remove the nail, we can set up the equation:
(Force on the nail remover) x (Length of the nail remover) = (Force on the handle) x (Length of the handle)
Let's solve for the force on the nail remover:
(F_{nail remover}) x 3 inches = 40 N x 20 inches
Now, we need to convert the units of length to the same unit. Let's convert inches to meters:
1 inch = 0.0254 meters
(Force on the nail remover) x (0.0762 meters) = (40 N) x (0.508 meters)
Simplifying the equation:
(Force on the nail remover) = (40 N) x (0.508 meters) / (0.0762 meters)
Finally, evaluating the equation:
(Force on the nail remover) = (40 N) x (6.66)
Therefore, the force available to remove the nail would be approximately 266.4 N.
To determine the force available to remove a nail using the crowbar lever, we can consider the concept of moments or torque.
Torque (τ) is defined as the force (F) applied at a distance (r) perpendicular to the pivot point. In this case, the distance from the pivot point to the force applied is 20 inches (or 20 in = 0.508 meters).
Given that the force applied at the handle end is 40 N, we can calculate the torque using the formula: τ = F * r.
τ = 40 N * 0.508 m = 20.32 N·m
Since the crowbar acts as a lever, the torque remains constant. Now, we need to find the force available to remove a nail using the nail remover, which is 3 inches (or 3 in = 0.0762 meters) away from the pivot point.
To calculate the force exerted on the nail remover, we rearrange the torque formula: F = τ / r.
F = 20.32 N·m / 0.0762 m ≈ 267 N
Therefore, the force available to remove the nail is approximately 267 N.