Question

A windmill for generating electricity has a blade that is 30 feet long. Depending on the​ wind, it rotates at various velocities. Find the angular velocity in​ rad/sec for the tip of the blade if the windmill is rotating at a rate of 55 comma 145 ​rev/day.

Answer 1

Answer:

The angular velocity is 0.40090415 rad/sec.

Explanation:

Given that,

Height = 30 feet

Rotating rate =55,145 rev/day

We need to calculate the angular velocity

$1\ revolution = 2\pi$

So, $1\ revolution /sec=\dfrac{2\pi}{60\times60\times24}\ rad/sec$

$1\ revolution /sec=7.27\times10^{-6}\ rad/sec$

$55,145\ revolution /sec=55,145\times7.27\times10^{-6}\ rad/sec$

$55,145\ revolution /sec=0.40090415\ rad/sec$

Hence, The angular velocity is 0.40090415 rad/sec.