The table planning machine is driven horizontally by hydraulic pressure on a piston contained in a cylinder 80mm in diameter. The on the cutting tool is 5KN,the Mass of the moving part is 1000kgs and coificient friction is 0.05.calculate pressure required in the cylinder.calculate the work done by the hydraulic fluid in moving the table 2m during the cutting process.
To calculate the pressure required in the cylinder, we first need to determine the force required to move the table horizontally. This can be calculated as follows:
Force (F) = Mass x Acceleration
Force (F) = 1000 kg x 9.81 m/s^2
Force (F) = 9810 N
Now, we can calculate the total force required to move the table including the frictional force:
Total force = Force + Frictional Force
Total force = 9810 N + (Coefficient of friction x Normal Force)
Total force = 9810 N + (0.05 x 5 KN)
Total force = 9810 N + 250 N
Total force = 10060 N
Next, we can calculate the pressure required in the cylinder using the formula:
Pressure (P) = Force / Area
Pressure (P) = 10060 N / (π x (80 mm)^2 / 4)
Pressure (P) = 10060 N / (π x 0.008m^2)
Pressure (P) = 10060 N / 0.000314 m^2
Pressure (P) = 31951.4 Pa
Therefore, the pressure required in the cylinder is approximately 31.95 kPa.
Next, to calculate the work done by the hydraulic fluid in moving the table 2m during the cutting process, we use the formula:
Work (W) = Force x Distance
Work (W) = 10060 N x 2 m
Work (W) = 20120 J
Therefore, the work done by the hydraulic fluid in moving the table 2m during the cutting process is 20,120 Joules.