Final answer:
The student asked about calculating machining time for creating a cylindrical impression in tungsten carbide using ultrasonic machining, implying a need for the material removal rate, which is not given in the question. The machining time could be found by dividing the volume of removed material by the material removal rate, which often requires empirical data not provided in the question.
Step-by-step explanation:
The student's question pertains to ultrasonic machining (USM) of tungsten carbide using a cylindrical tool. To calculate the machining time for creating a cylindrical impression of given dimensions, you would typically need to know the material removal rate, which depends on various factors including the properties of the abrasive slurry, the mechanical properties of the tool and workpiece materials, the tool oscillation amplitude, and the feed force. Since the force, amplitude, and frequency of the tool oscillation and the properties of the materials involved are provided, but no specific formula or material removal rate is given, it is impossible to provide a precise answer.
In general, the machining time in USM can be estimated by the volume of the material to be removed divided by the material removal rate. If we had the material removal rate (which is not given but often determined empirically), we could use the following formula to calculate the machining time (tm):
tm = Volume of material to be removed / Material removal rate
In this case, the volume of the cylindrical impression can be calculated by using the formula for the volume of a cylinder V = πr2h, where r is the radius and h is the depth. The machining time could then be derived from the volume and the known or estimated material removal rate.