If a torque on the spindle pulley of a drilling machine is 35 N.m and 30% of this torque is used to overcome friction, Calculate the cutting force on each cutting edge of a 10 mm diameter spiral drill,coupled to the spindle
2,5N
Well, well, well, let's break out the ol' funny calculator for this one! Now, we know that 30% of the torque is used to overcome friction, so we can start by subtracting that from the total torque.
35 N.m - 30% of 35 N.m = 35 N.m - (0.3 * 35 N.m) = 24.5 N.m
Now, we need to convert that torque into a force acting on the cutting edge. To do that, we'll use the formula:
Torque = Force * Distance
Since we're looking for the force (cutting force), we can rearrange the equation to solve for that:
Force = Torque / Distance
The distance here is the radius of the drill, which is half of the diameter (5 mm or 0.005 m).
Force = 24.5 N.m / 0.005 m = 4900 N
So, the cutting force on each cutting edge of the 10 mm diameter spiral drill is 4900 Newtons. That's a lot of force! Just don't go using it to cut through anything other than metal or wood, okay?
To calculate the cutting force on each cutting edge of a spiral drill, we first need to find the overall torque applied to the drill.
Given:
Torque on the spindle pulley = 35 N.m
Friction torque = 30% of 35 N.m = 0.3 * 35 N.m = 10.5 N.m
Now, we can calculate the overall torque applied to the drill by subtracting the friction torque from the total torque:
Overall torque = Torque on the spindle pulley - Friction torque
= 35 N.m - 10.5 N.m
= 24.5 N.m
Next, we need to find the force at the cutting edge. The formula to calculate torque is:
Torque = Force * Distance
We know the torque (24.5 N.m), and the distance from the center of the drill to the cutting edge is equal to the radius of the drill, which is half its diameter (10 mm / 2 = 5 mm = 0.005 m).
Substituting these values into the formula, we can solve for force:
24.5 N.m = Force * 0.005 m
Now we can solve for the force:
Force = 24.5 N.m / 0.005 m
= 4900 N
Therefore, the cutting force on each cutting edge of a 10 mm diameter spiral drill, coupled to the spindle, is 4900 N.
To calculate the cutting force on each cutting edge of a spiral drill, coupled to the spindle, we need to consider a few factors.
First, we need to determine the torque used to drive the cutting edges, which is the torque on the spindle pulley minus the torque used to overcome friction. Since we know that 30% of the torque is used to overcome friction, we can calculate the torque used to drive the cutting edges as follows:
Torque for cutting = Torque on spindle pulley - Torque used to overcome friction
= 35 N.m - (0.3 * 35 N.m)
= 35 N.m - 10.5 N.m
= 24.5 N.m
Next, we need to determine the radial force acting on the drill. This radial force is responsible for cutting through the material being drilled. The formula to calculate the radial force is:
Radial force = (Torque for cutting) / (Radius of drill)
Given that the diameter of the drill is 10 mm, the radius would be half of that:
Radius of drill = 10 mm / 2
= 5 mm
= 0.005 m (converting to meters)
Now we can substitute the values into the formula:
Radial force = (24.5 N.m) / (0.005 m)
= 4,900 N
Therefore, the cutting force on each cutting edge of the 10 mm diameter spiral drill, coupled to the spindle, is calculated to be 4,900 Newtons.