In shovel loading of broken iron ore, if loading cycle time of the shovel of 5 m³ bucket capacity, is 60 seconds, bucket fill ratio is 0.8, rock looseness factor is 1.5 and shovel working time utilization factor is 0.6, then the hourly output of the shovel in m³/hr will be

Solution (By Examveda Team)

Definition of Terms:
Bucket Capacity: The maximum volume of material a shovel's bucket can hold.
Loading Cycle Time: The time taken to complete one loading cycle (digging, swinging, dumping).
Bucket Fill Ratio: The ratio of the actual volume of material loaded in a bucket to its maximum capacity. It's always less than 1 because the bucket is rarely completely full.
Rock Looseness Factor: The ratio of the volume of broken rock *in situ* (in its natural position) to the volume of the same rock after excavation and loading. A factor greater than 1 indicates that the excavated volume is larger than the in-situ volume due to fracturing and loosening during blasting.
Shovel Working Time Utilization Factor: The fraction of the total time the shovel is actually working (loading) versus being idle (maintenance, moving, etc.).

Explanation:
First, calculate the effective bucket volume considering the fill ratio:
Effective Bucket Volume = Bucket Capacity × Bucket Fill Ratio = 5 m³ × 0.8 = 4 m³
Next, determine the volume of *in situ* ore loaded per cycle considering the rock looseness factor:
In-situ Volume per Cycle = Effective Bucket Volume / Rock Looseness Factor = 4 m³ / 1.5 ≈ 2.67 m³
Now, account for the shovel's working time utilization factor to find the actual volume loaded per cycle:
Actual Volume per Cycle = In-situ Volume per Cycle × Shovel Working Time Utilization Factor = 2.67 m³ × 0.6 ≈ 1.6 m³
Finally, calculate the hourly output by considering the loading cycle time:
Hourly Output = (Actual Volume per Cycle / Loading Cycle Time) × 3600 seconds/hour = (1.6 m³ / 60 seconds) × 3600 seconds/hour = 96 m³/hr

Therefore, the correct answer is Option C: 96
The other options are incorrect because they don't accurately account for all the factors affecting the shovel's productivity (fill ratio, looseness factor, and utilization factor).