A 2 cu yd clamshell bucket is used to excavate wet clay. The depth of the excavation is 2.2 m. The machine has a 21 m boom and has to make a 40o swing in order to dump the excavated material into the truck. The average cycle time has been measured as 24 seconds in the existing job and management conditions. It is also observed that given the nature of the material being excavated, the bucket is filled up to its heaped capacity at every cycle. Operating time is given as 50 minutes per hour on the average. Take the smallest applicable figure for the bucket fill factor. a) What is the rate of output of this clamshell, expressed in m3BM/hr? b) What is the minimum boom angle for the clamshell to operate without tipping? c) What is the maximum dumping radius that the clamshell can reach without tipping?