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avito009
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Since F=mv2/r. Does that mean the force required for centripetal acceleration is inversely proportional to the radius? If radius is more the lesser centripetal force is required, is this correct?
What's "v2?"avito009 said:F=mv2/r
That's if v is constant,avito009 said:radius is more the lesser centripetal force is required, is this correct?
Think again. What is "v?"avito009 said:v2/r remains constant
That would be if F is a constant.avito009 said:F= mv2/r. So in this formula we know that as radius increases the speed or velocity increases
V is the velocity. But I didnt understand your point.Bystander said:Think again. What is "v?"
V is velocity which is distance/time. So you mean to say that the distance or the radius in this case is more so the velocity is more at the edge. So the Centripetal Force is more. Is this what you meant to tell me?Bystander said:What is "v" in terms of "r?"
avito009 said:mv2/r
avito009 said:inversely proportional to the radius?
avito009 said:Now there are 2 formulas for centripetal acceleration. 1. F= mv2/r. So in this formula we know that as radius increases the speed or velocity increases. So the term v2/r remains constant. So how can we prove from this formula that the Centripetal force is more if the radius is more.
But if we take the formula 2. F=mω2r. we can easily prove that as the radius increases the Centripetal force required increases. But this inference can't be derived from the first formula.
Centripetal acceleration is the acceleration experienced by an object moving in a circular path. It is directed towards the center of the circular path and is responsible for keeping the object moving in a circular motion.
The formula for calculating centripetal acceleration is a = v^2/r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path.
Centripetal acceleration is the acceleration that keeps an object moving in a circular path, while centrifugal acceleration is the fictitious force that appears to push the object away from the center of the circular path. Centrifugal acceleration is the result of inertia, while centripetal acceleration is caused by a force acting on the object.
Some common examples of centripetal acceleration include the motion of a car around a curved road, the rotation of planets around the sun, and the movement of a roller coaster around a loop.
Centripetal acceleration causes an object to continuously change its direction, even if its speed remains constant. It also creates a force that is perpendicular to the direction of motion, which is why objects moving in a circular path experience a centrifugal force that pulls them away from the center of the circle.