Why does the coasting rotating system slow down as water drips into the beaker??
The coasting rotating system slows down to conserve angular momentum . When water drips into beaker it has more radius
We know that
I×R
So moment of inertia increases and angular velocity decreases
I will bet it has to do with mass gained, adn the effect on velocity given a constant momentum during coasting.
It is because you dont know the answer and are here on google .it'd be better to go and check in your book.you mindless student.
When water drops into the beaker, the mass of the contents in the beaker increases which increases the moment of inertia
The coasting rotating system slows down as water drips into the beaker due to the principle of conservation of angular momentum. Angular momentum is a property of rotating bodies and is defined as the product of the moment of inertia and angular velocity.
When the rotating system is initially set in motion, it possesses a certain amount of angular momentum. As water drips into the beaker, its mass is added to the system and distributed further away from the axis of rotation compared to the original mass of the system. This effectively increases the moment of inertia of the system.
According to the principle of conservation of angular momentum, the total angular momentum of a system remains constant unless acted upon by an external torque. In this case, the external torque is exerted by the force of gravity acting on the dripping water. As the moment of inertia increases due to the added mass, the angular velocity of the system decreases to maintain the constant angular momentum.
To better understand this concept, you can experiment with a rotating chair and a pair of weights. Sit on the chair and hold the weights outstretched close to your body. Start rotating the chair and then slowly bring the weights closer to your body. You will notice that as the moment of inertia decreases (weights brought closer to the axis of rotation), your rotational speed increases.
In summary, the coasting rotating system slows down as water drips into the beaker because the added mass increases the moment of inertia, which leads to a decrease in angular velocity to maintain the constant angular momentum.