Question

A rotating fan completes 1115.8 revolutions every minute. Consider the tip of a blade, at a radius of 0.50 m. Through what distance does the tip move in one revolution?

Answer 1

The tip of a blade with a radius of 0.5 meters moves approximately 3.1416 meters in one revolution, calculated using the circumference formula C = 2πr.

Step-by-step explanation:

The question is asking us to calculate the distance that the tip of a rotating fan blade covers in one revolution. The fan blade has a given radius of 0.5 meters. To find this distance, we can use the circumference formula C = 2πr, where C is the circumference and r is the radius of the circular path.

Step-by-step explanation:

1. First, we identify the radius of the blade, which is 0.50 meters.
2. Next, we apply the formula for the circumference of a circle: C = 2πr.
3. Substituting the given radius into the formula, we calculate C = 2π(0.50).
4. This calculation results in C = π meters, which is approximately 3.1416 meters.

Therefore, the tip of the blade moves approximately 3.1416 meters in one revolution.