Calculating rotational g force

In summary, rotational g force is the force exerted on an object as it moves in a circular path, directed away from the center of rotation. It is calculated using the formula g-force = (radius of rotation * angular velocity^2) / gravitational constant and is measured in g, or 9.8 m/s^2. The main factors affecting rotational g force are the radius of rotation and angular velocity, and it differs from linear g force as it is caused by circular motion rather than linear motion.
  • #1
1953greg
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i observed a wind turbine w/ 253' diameter rotor (according to website http://www.hcpd.com/powerresources/wessingtonspringswindfarm/ ) and timed rotation was 3.3 seconds. if my calculations are correct the tip speed was a whopping 229 mph!

is this enough info to calculate g forces at the tip?

any insight appreciated 1953greg
 
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  • #2
The acceleration is omega squared times the radius, where omega is the angular velocity.
OR you can use velocity squared divided by radius.
Be careful to keep your units right - use SI units and you are less likely to go wrong.
 
  • #3


Yes, this information is sufficient to calculate the g forces at the tip of the wind turbine. The formula for calculating rotational g force is given by g = (v^2)/r, where g is the g force, v is the tangential velocity (tip speed in this case), and r is the radius of rotation (half the diameter of the rotor). Using this formula, we can calculate the g force at the tip of the wind turbine as follows:

g = (229 mph)^2 / (253 ft/2) = 2,910 g

This means that the tip of the wind turbine experiences a force 2,910 times the force of gravity due to its high rotational speed. This is a significant amount of force and indicates the strength and durability of the wind turbine's design. However, it is important to note that this calculation assumes a uniform rotation and does not take into account other factors such as wind resistance, blade design, and weight distribution. Therefore, the actual g forces experienced by the wind turbine may vary.
 

FAQ: Calculating rotational g force

What is rotational g force?

Rotational g force, also known as centrifugal force, is the force exerted on an object as it moves in a circular path. This force is directed away from the center of rotation and is proportional to the mass and speed of the object.

How is rotational g force calculated?

The formula for calculating rotational g force is: g-force = (radius of rotation * angular velocity^2) / gravitational constant. This formula can be used to determine the amount of g force experienced by an object in circular motion.

What is the unit of measurement for rotational g force?

The unit of measurement for rotational g force is g, which represents the acceleration due to gravity. 1 g is equal to 9.8 meters per second squared (m/s^2).

What factors affect rotational g force?

The two main factors that affect rotational g force are the radius of rotation and the angular velocity of the object. A larger radius or faster angular velocity will result in a higher g force.

How is rotational g force different from linear g force?

Rotational g force is different from linear g force in that it is caused by circular motion rather than linear motion. In linear g force, the force is directed along the same axis as the motion, while in rotational g force, the force is directed away from the center of rotation.

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