The radius of the wind wheel is 2 m. Its rotation frequency is 0.5 s. What is the linear velocity of the wheel endpoints?

Let’s write a formula that determines the linear speed of the wheel endpoints:

u = 2пR / T,

where R is the radius of the wind wheel,

T – circulation period.

To find the value of the linear velocity, you only need to find the orbital period through the frequency formula:

n = 1 / T -> T = 1 / n

Let’s substitute it in the formula for the linear velocity of the body:

u = 2пR: 1 / n = 2пRn.

Substitute the known values of quantities into the resulting formula:

u = 2 * 3.14 * 2 m * 0.5 s = 6.28 m / s.

Answer: 6.28 m / s.