Question

MECHANICAL ADVANTAGE & EFFICIENCY: In this problem, Carlitos is pushing a 50-pound drum up a ramp (inclined plane). He is pushing with 22 pounds of force. The ramp is 12 feet long, and the dock at the top of the ramp is 3 feet high. Find the AMA, IMA, and efficiency.

Answer 1

The AMA is 2.27, the IMA is 4, and the efficiency is 56.75%

Step-by-step explanation:

To calculate the AMA (Actual Mechanical Advantage), we divide the load force by the effort force. In this case, the load force is 50 pounds and the effort force is 22 pounds. Therefore, the AMA is:

AMA = Load force / Effort force = 50 pounds / 22 pounds = 2.27

To calculate the IMA (Ideal Mechanical Advantage) of an inclined plane, we divide the length of the incline by the height of the incline. In this case, the length of the ramp is 12 feet and the height of the dock is 3 feet. Therefore, the IMA is:

IMA = Length of the incline / Height of the incline = 12 feet / 3 feet = 4

The efficiency of a machine is calculated by dividing the AMA by the IMA and multiplying by 100% to get a percentage. Therefore, the efficiency is:

Efficiency = (AMA / IMA) * 100% = (2.27 / 4) * 100% = 56.75%.