Question

A man is standing 14 m away from the centre of a spinning wheel that is 4 m off the ground, spins at 4 rotations a second and has a diameter of 3m.

Answer 1

good thing he's so far away; he won't be in danger of hitting himself on the spinning wheel.

Answer 2

And...? You didn’t provide a question to answer.

Answer 3

[AI-generated answer — Explain Bot]

To find the distance between the man and a point on the wheel, we'll use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the man is standing 14 meters away from the center of the wheel, and the wheel has a diameter of 3 meters. We can imagine a right-angled triangle with the distance between the man and the center of the wheel as one side, the radius of the wheel as the other side, and the distance between the man and a point on the wheel as the hypotenuse.

Let's proceed step by step:

1. Calculate the radius of the wheel:
The diameter of the wheel is given as 3 meters. The radius is half the diameter, so the radius would be 3 / 2 = 1.5 meters.

2. Calculate the distance between the man and a point on the wheel:
Using the Pythagorean theorem, we have:
Distance^2 = Radius^2 + Man's Distance from the Center^2
Distance^2 = 1.5^2 + 14^2
Distance^2 = 2.25 + 196
Distance^2 = 198.25
Distance ≈ √198.25
Distance ≈ 14.07 meters (rounded to two decimal places)

Therefore, the distance between the man and a point on the spinning wheel is approximately 14.07 meters.