Two 80n children sit together 3m from the center of a teeter-totter and are able to lift 460n that is 1m away from the fulcrum. name the simple machine that is being used inthe problem, calculate the work in,work out mechanical advantage, and the efficinency of this machine.
assume the children are the input.
The simple machine being used in this problem is a lever. A lever is a simple machine that consists of a rigid bar or board that pivots on a fixed point called a fulcrum. The two children act as the input forces on either side of the lever.
To calculate the work in, we use the formula:
Work In = Force In * Distance In
In this case, the force exerted by each child is 80N, and they sit 3m away from the center of the teeter-totter. Therefore, the work in for each child is:
Work In = 80N * 3m = 240Nm
To calculate the work out, we use the formula:
Work Out = Force Out * Distance Out
Here, the force being lifted is 460N, and it is located 1m away from the fulcrum. Hence, the work out is:
Work Out = 460N * 1m = 460Nm
The mechanical advantage of a lever is calculated by dividing the distance from the fulcrum to the input force (arm of effort) by the distance from the fulcrum to the output force (arm of load). In this case, the arm of effort is 3m and the arm of load is 1m. Thus, the mechanical advantage (MA) is:
MA = Arm of Effort / Arm of Load = 3m / 1m = 3
To calculate efficiency, we use the formula:
Efficiency = (Work Out / Work In) * 100%
Substituting the values we calculated earlier:
Efficiency = (460Nm / 240Nm) * 100% = 191.7%
Please note that efficiency above 100% is not physically possible, so there may be an error in the calculations or assumptions made.