Question

On a calm day, a windmill blade 6 m long turns 0.20 rad in 1s. What is the linear velocity of the tip of the blade?

Answer 1

We are given the following information

Length of the windmill blade = 6 m

Angular velocity of the windmill = 0.20 rad/s

We are asked to find the linear velocity of the tip of the blade.

The linear velocity of the tip of the blade is given by

`v=\omega\cdot L`

Where ω is the angular velocity of the windmill and L is the length of the blade.

Substituting the given values into the above formula, we get

`\begin{gathered} v=0.20\cdot6 \\ v=1.2\; \; (m)/(s) \end{gathered}`

Therefore, the linear velocity of the tip of the blade is 1.2 m/s