Exciting Facts About Windmills

Did you know that a windmill can rotate at various velocities depending on the wind?

How can we calculate the angular velocity in rad/sec for the tip of a windmill blade?

Answer:

The angular velocity of the tip of the windmill's blade is approximately 4 rad/sec.

Windmills are fascinating structures that can generate electricity through the power of wind. One interesting aspect of windmills is that they have blades that can rotate at different velocities based on the speed of the wind. To calculate the angular velocity in rad/sec for the tip of a windmill blade, we need to consider the rotational speed of the windmill.

The given data states that a windmill rotates at a rate of 55,145 rev/day. By converting this rotational speed to radians per second, we can determine the angular velocity of the blade tip. One rotation corresponds to an angular displacement of 2π radians because the blade describes a complete circle. Additionally, one day is equivalent to 86,400 seconds.

Using the formula ω = (rev/day) * (2π rad/rev) * (1 day/86,400 sec), we can substitute the given value to find that the angular velocity is approximately 4 rad/sec. Therefore, the tip of the windmill blade has an angular velocity of about 4 radians per second.