- #1
tomisme said:If i hit a gear/wheel with a certain force how do i calculate how the resultent rpm?
Theres a picture attached to help with my explanation.
thanks, Tom
That depends on how long you apply the force! Berkeman gave you the equation for acceleration - acceleration times time is speed.tomisme said:thanks for your welcome and a quick reply :). Its not a bike for a lack of a better example I am hitting a gear with stick, and i need to know how fast the gear will spin at the end.
The formula for calculating the resultant RPM is: RPM = (Force applied * gear/wheel radius) / (moment of inertia * angular acceleration). First, determine the force applied and the radius of the gear/wheel. Then, find the moment of inertia of the gear/wheel, which is a measure of its resistance to rotation. Finally, calculate the angular acceleration, which is the change in rotational speed over time. Plug these values into the formula to find the resultant RPM.
The moment of inertia is a measure of an object's resistance to rotational motion. It depends on the mass and distribution of mass around the axis of rotation. For a gear or wheel, the moment of inertia can be found by using the formula: I = 1/2 * m * r^2, where m is the mass of the gear/wheel and r is the radius.
Yes, the formula for calculating resultant RPM remains the same even if the gear or wheel is rotating at an angle. However, the force applied and the radius should be measured in the same direction as the rotation.
The angular acceleration has a direct impact on the resultant RPM. The higher the angular acceleration, the faster the object will rotate. This means that a larger force applied or a smaller moment of inertia will result in a higher angular acceleration, resulting in a higher resultant RPM.
No, the resultant RPM will differ for gears or wheels with the same force applied, as it also depends on the radius and moment of inertia. A larger gear/wheel with a smaller moment of inertia will have a higher resultant RPM compared to a smaller gear/wheel with a larger moment of inertia, even if the force applied is the same.