Wheels used on bench grinders must not be operated at a speed exceeding their rated speed.

Question

11-12-2024
Engineering

College

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Wheels used on bench grinders must not be operated at a speed exceeding their rated speed.

Answer :

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cnbhemant cnbhemant · Answer 1 · 2024-06-27T18:10:27-04:00

Final answer:

The question involves calculating centripetal acceleration and linear speed for a rotating grinder wheel, topics within Physics. It requires conversion from rev/min to radians/sec and application of formulas for centripetal acceleration and linear speed.

Explanation:

The subject of the student's question pertains to the operation of wheels on bench grinders and their rated speeds, which is a topic covered in Physics, as it involves principles of rotational motion and forces. In particular, this question highlights the concepts of centripetal acceleration and linear speed related to circular motion.

Calculating Centripetal Acceleration and Linear Speed

(a) Centripetal acceleration (c) at the edge of a rotating object can be calculated using the formula ac = r*(ω2), where r is the radius and ω is the angular velocity in radians per second. First, convert the rotational speed from rev/min to radians per second. Then, plug in the values to find the centripetal acceleration.

(b) The linear speed (v) of a point on the edge of a rotating object can be found by the formula v = r*ω. By using the angular velocity obtained in the previous step, we can calculate the linear speed.

Operating a bench grinder wheel beyond its rated speed could result in dangerous conditions due to the excessive centripetal forces that would be exerted on the wheel.