Water level in a well was 20 m below ground level. During rainy season...
Solution:
Given data:
Water level in the well = 20 m below ground level
Water level after the rainy season = 5 m above the previous level
Height of the wall of the well = 1 m 20 cm
Height of the pulley = 80 cm
To find: The minimum length of the rope required to draw water from the well
Calculation:
Total height of the well = Height of the wall + Height of the pulley
= 1 m 20 cm + 80 cm
= 2 m
New water level after the rainy season = 20 m - (-5 m) = 25 m
Height of the water from the pulley = Total height of the well - New water level
= 2 m - 25 m
= -23 m
As the height of the water from the pulley is negative, we need to take the absolute value of it.
So, the height of the water from the pulley = 23 m
The minimum length of the rope required to draw water from the well is the distance from the pulley to the water level added to the distance from the pulley to the ground level.
Minimum length of the rope = Height of the water from the pulley + Total height of the well
= 23 m + 2 m
= 25 m
Therefore, the minimum length of the rope required to draw water from the well is 25 meters.
HTML Bulleted List:
Given data:
- Water level in the well = 20 m below ground level
- Water level after the rainy season = 5 m above the previous level
- Height of the wall of the well = 1 m 20 cm
- Height of the pulley = 80 cm
Calculation:
- Total height of the well = Height of the wall + Height of the pulley = 1 m 20 cm + 80 cm = 2 m
- New water level after the rainy season = 20 m - (-5 m) = 25 m
- Height of the water from the pulley = Total height of the well - New water level = 2 m - 25 m = -23 m
- Height of the water from the pulley = 23 m (taking absolute value)
- Minimum length of the rope = Height of the water from the pulley + Total height of the well = 23 m + 2 m = 25 m
Result: The minimum length of the rope required to draw water from the well is 25 meters.