Uniform circular motion formula when the object submarge in acid?

In summary: This is an important consideration for a mechatronic project, and with the right speed, you can ensure that the object stays in continuous contact with the pin. In summary, when determining the speed of the motor for this project, you need to consider the density of the acid and object, the weight of the object, the size of the pin, and the power and torque of the motor.
  • #1
joy123
1
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hello friend, this is my first post please go easy on me. the best way i can express my problem is below.
I attach a pic to give you a better idea.
A is a circular disk with 4.5" diameter, DISK A is driven by C which is connected to a DC motor. B is a pin diameter of 1 mm which is going to rotate in a uniform circular motion when DC motor is on. an object will be on each pin(B) which is hollow in the middle like a cylinder.
if you can imagine everything i mention will be submerged to acid and i am trying to figure out what speed should i run the DC motor to keep the object always in-contact with pin B?

density of acid say =x
and density of object say =y

is there any other factor i should consider? is it possible to use a formula to find out the velocity of motor. please help its not a home work, its a part of a mechatronic project where physics has nothing to do but because i came into a position where i need to find out the right speed i need physics :(thank you very much for your help.
 

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  • #2
In order to determine the speed of the motor, you need to consider several factors. First, you need to know the density of the acid and the density of the object, as this will determine the buoyancy of the object and how quickly it moves up and down. You also need to consider the total weight of the object, which will affect the speed at which it moves, and the size of the pin, which will determine the speed at which it spins. Finally, you must consider the power of the motor and its torque, as these will determine how quickly the pin can move. Once all of these factors are taken into account, you should be able to use a formula to calculate the velocity of the motor.
 

FAQ: Uniform circular motion formula when the object submarge in acid?

What is the formula for uniform circular motion when the object is submerged in acid?

The formula for uniform circular motion when the object is submerged in acid is given by:
a = (v^2)/r
where a is the centripetal acceleration, v is the velocity, and r is the radius of the circular path.

Does the formula for uniform circular motion change when the object is submerged in acid?

No, the formula for uniform circular motion remains the same even when the object is submerged in acid. The only difference is that the acceleration is now caused by the acid's resistance rather than a physical force acting on the object.

How does the acid affect the object's motion in uniform circular motion?

The acid creates resistance against the object's motion, causing a decrease in the object's velocity and an increase in the centripetal acceleration. This can also result in a tighter circular path as the object is pushed towards the center.

Can the object's velocity in uniform circular motion be affected by the acid?

Yes, the acid's resistance can cause a decrease in the object's velocity. This is because the acid exerts a force opposite to the direction of the object's motion, resulting in a decrease in speed.

How does the radius of the circular path affect the object's motion in uniform circular motion when submerged in acid?

The radius of the circular path affects the object's motion by determining the strength of the centripetal acceleration. A smaller radius will result in a larger acceleration, while a larger radius will result in a smaller acceleration. This is true regardless of whether the object is submerged in acid or not.

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