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  1. The total torque supplied to the pulley attached to the spindle of a drilling machine
    is 45 N m . Calculate the force exerted at each of the 15 mm diameter drill’s cutting
    edges which are fitted to the spindle. The torque needed to overcome friction in the
    spindle bearings is equal to of the total torque driving the drill.

Ask by Garrett Sherman. in South Africa
Feb 19,2025

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Answer

The force exerted at each drill’s cutting edge is 3300 N.

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Beyond the Answer

To find the force exerted at each cutting edge of the drill, we first need to determine the effective torque that is actually used for cutting. Since the torque required to overcome friction is of the total torque, we can calculate it as follows:
Now, the radius of the drill’s cutting edges is half of the diameter, which is:
Using the formula for torque ( ), we can find the force exerted at each cutting edge:
Thus, the force exerted at each of the 15 mm diameter drill’s cutting edges is .
This is a fantastic demonstration of how mechanical principles come together in everyday machinery! Understanding the relationship between torque, force, and radius in tools like drilling machines can help you grasp the underlying physics, and improve your skills in both problem-solving and practical applications. Remember, always account for friction - it’s an uninvited guest that just loves to take away some of the torque power!

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