Question

A blade on a food processor extends out 2 Inches from its center . the blade is turning at 500 revolutions per minute, what is the near velocity of the tip of the blade per (Round your answer to the nearest whole number )

Answer 1

The linear speed of the tip of the blade on a processor rotating at 500 rpm with a radius of 2 inches is approximately 3 meters per second.

Step-by-step explanation:

The student has asked about the linear speed of the tip of a blade on a food processor that extends 2 inches from its center and rotates at 500 revolutions per minute (rpm). To solve this, we can use the formula for the circumference of a circle (C = 2πr, where r is the radius) and the fact that each revolution is one circumference of the circle, then multiply by the number of revolutions per minute to get the linear speed.

First, we convert the radius from inches to meters (1 inch = 0.0254 meters), so r = 2 inches = 0.0508 meters. Then we calculate the circumference C = 2π(0.0508 meters) ≈ 0.319 meters. Since the blade makes 500 revolutions each minute, the speed v = 500 * 0.319 meters ≈ 159.5 meters per minute. To find meters per second, divide by 60 (as there are 60 seconds in a minute), resulting in approximately 2.658 meters per second. Rounded to the nearest whole number, the linear speed is 3 meters per second.