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Kla
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Does changing the radius or changing the speed affect centripetal accelereation more? Why?
Yes, increasing the radius of the circular motion will decrease the centripetal acceleration. This is because a larger radius means a longer distance for the object to travel in the same amount of time, resulting in a slower speed and therefore, a lower centripetal acceleration.
Yes, decreasing the speed of the object in circular motion will also decrease the centripetal acceleration. This is because centripetal acceleration is directly proportional to the square of the speed, meaning that as the speed decreases, the centripetal acceleration decreases as well.
Changing both the radius and speed simultaneously can have varying effects on the centripetal acceleration. If the radius decreases while the speed increases, the centripetal acceleration will remain the same. However, if both the radius and speed increase or decrease at the same time, the centripetal acceleration will be affected accordingly.
Yes, there is a mathematical relationship between these three variables. Centripetal acceleration (a) is equal to the square of the velocity (v) divided by the radius (r). This relationship is represented by the formula a = v^2/r.
Changing the radius or speed affects centripetal acceleration because these variables are directly related to each other. As the radius or speed changes, the other variable must also change in order to maintain a constant centripetal acceleration. This is due to the fact that centripetal acceleration is dependent on both the speed and radius of the circular motion.