why is centripetal force said to be a real force
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It's because unlike centrifugal force it is a real force. It is the force applied on revolving body because of which the body change its velocity by changing direction and moves in a circular or elliptical path. ... First of all, centripetal force is not a real force because it isn't a specific force at all.
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Centripetal force is a force which provides acceleration towards centre, say, Tension while moving the object round with string. So if, you apply F=ma from the revolving object, you have to add centrifugal force as the object is at rest wrt itself.
You can explain what you experience while turning due to you inertia which resists you change in motion.
Hope it helps you
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