What is the rotational speed ω of a windmill's blades if they are noted to be spinning at a rate of 12 RPMs?
What is the rotational speed ω of a windmill's blades if they are noted to be spinning at a rate of 12 RPMs?
Revolutions Per Minute (RPM):
It is used to express how fast the blades of windmill spins. Because one revolution is equivalent to one complete rotation. For example, a wheel that makes one complete rotation about its center in a minute is said to rotate about its center at a rate of 1 revolution per minute or 1 rpm.
Angular Velocity(ω):
Angular velocity is used to express how fast a circular object such as a wheel spins. Because there are 360 degrees in a circle, a wheel that makes one complete rotation about its center in one second will have an angular velocity of 360 degrees per second.
Now to convert RPM to angular velocity we just have to multiply RPM by 6. Since one revolution is 360 degrees and there are 60 seconds per minute. If the rpm is 1 rpm, the angular velocity in degrees per second would be 6 degrees per second, since 6 multiplied by 1 is 6.
Given the blade is spinning at a rate of 12RPM
Now to find its rotational velocity we just have to convert RPM to angular velocity
For that we know, we just have to multiply RPM with 6 so,
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