A logistics team is evaluating different ramp configurations to push heavy equipment into a warehouse. Calculate the ideal mechanical advantage (IMA) for each ramp. Order the following ramps from the GREATEST mechanical advantage (requires the least effort force) to the LEAST mechanical advantage (requires the most effort force).
- 1A ramp with a length of 5 meters and a vertical height of 1 meter
- 2A ramp with a length of 8 meters and a vertical height of 2 meters
- 3A ramp with a length of 9 meters and a vertical height of 3 meters
- 4A ramp with a length of 4 meters and a vertical height of 2 meters
Answer
The correct sequence from greatest to least mechanical advantage is: the 5m long / 1m high ramp, the 8m long / 2m high ramp, the 9m long / 3m high ramp, and finally the 4m long / 2m high ramp.
The correct order requires calculating the Ideal Mechanical Advantage (IMA = Length / Height) for each ramp and arranging them in descending order. The 5m/1m ramp has an IMA of 5. The 8m/2m ramp has an IMA of 4. The 9m/3m ramp has an IMA of 3. The 4m/2m ramp has an IMA of 2.
Step-by-Step Solution
Key Concept
The ideal mechanical advantage of an inclined plane is calculated by dividing the length of the incline by the vertical height (IMA = L / h). A greater IMA means less effort force is required to move an object up the ramp.
Estimated Time:1m 0s