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What is the equation for Atwood's machine and how is it used to calculate the acceleration of the system?
The equation for Atwood's machine is: a (m2 - m1) g / (m1 m2), where a is the acceleration of the system, m1 is the mass of one object, m2 is the mass of the other object, and g is the acceleration due to gravity. This equation is used to calculate the acceleration of the system by taking into account the difference in masses of the two objects and the gravitational force acting on them.
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What is the Atwood machine equation used for and how does it relate to the motion of the system?
The Atwood machine equation is used to calculate the acceleration of a system consisting of two masses connected by a string over a pulley. It relates the masses of the objects and the force of gravity to determine the acceleration of the system. This equation helps understand how the masses move in relation to each other and how their motion is affected by the forces acting on them.
What is the Atwood machine acceleration equation and how does it relate to the motion of the system?
The Atwood machine acceleration equation is a (m2 - m1) g / (m1 m2), where a is the acceleration of the system, m1 and m2 are the masses of the two objects on the pulley, and g is the acceleration due to gravity. This equation shows how the acceleration of the system is influenced by the difference in masses of the two objects and the total mass of the system.
What is the Atwood machine acceleration formula and how is it used to calculate the acceleration of the system?
The Atwood machine acceleration formula is a (m2 - m1) g / (m1 m2), where a is the acceleration of the system, m1 and m2 are the masses of the two objects, and g is the acceleration due to gravity. This formula is used to calculate the acceleration of the system by plugging in the values of the masses and the acceleration due to gravity.
How can you calculate acceleration of gravity with Atwood Machine?
The acceleration of gravity can be calculated using an Atwood machine by measuring the acceleration of the system as the masses move and applying Newton's second law of motion. By knowing the masses of the objects and the tension in the rope, one can determine the acceleration due to gravity.
What is the solution to the double Atwood machine problem?
The solution to the double Atwood machine problem involves using Newton's second law of motion to calculate the acceleration of the system. By considering the forces acting on the masses and applying the equations of motion, the acceleration can be determined.
What is atwoods machine?
Reverend George Atwood was the inventor of the Atwood machine. It was used in a laboratory experiment to demonstrate the mechanical laws of motion with constant acceleration.
What is the Atwood machine equation used for and how does it relate to the motion of the system?
The Atwood machine equation is used to calculate the acceleration of a system consisting of two masses connected by a string over a pulley. It relates the masses of the objects and the force of gravity to determine the acceleration of the system. This equation helps understand how the masses move in relation to each other and how their motion is affected by the forces acting on them.
What is the Atwood machine acceleration equation and how does it relate to the motion of the system?
The Atwood machine acceleration equation is a (m2 - m1) g / (m1 m2), where a is the acceleration of the system, m1 and m2 are the masses of the two objects on the pulley, and g is the acceleration due to gravity. This equation shows how the acceleration of the system is influenced by the difference in masses of the two objects and the total mass of the system.
What is the Atwood machine acceleration formula and how is it used to calculate the acceleration of the system?
The Atwood machine acceleration formula is a (m2 - m1) g / (m1 m2), where a is the acceleration of the system, m1 and m2 are the masses of the two objects, and g is the acceleration due to gravity. This formula is used to calculate the acceleration of the system by plugging in the values of the masses and the acceleration due to gravity.
How can you calculate acceleration of gravity with Atwood Machine?
The acceleration of gravity can be calculated using an Atwood machine by measuring the acceleration of the system as the masses move and applying Newton's second law of motion. By knowing the masses of the objects and the tension in the rope, one can determine the acceleration due to gravity.
What is the solution to the double Atwood machine problem?
The solution to the double Atwood machine problem involves using Newton's second law of motion to calculate the acceleration of the system. By considering the forces acting on the masses and applying the equations of motion, the acceleration can be determined.
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What is the Atwood machine tension formula and how is it used to calculate the tension in the system?
The Atwood machine tension formula is T (m2 - m1) g / (m1 m2), where T is the tension in the system, m1 is the mass of one object, m2 is the mass of the other object, and g is the acceleration due to gravity. This formula is used to calculate the tension in the system by plugging in the values of the masses and the acceleration due to gravity.
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Why does friction stops machines from not being 100 percent efficient?
Because friction causes a dissipation of heat energy and other kinetic energy. If you use the equation f = ma (Newton's law), where f= force, m= mass; a= acceleration, you can apply this to any machine and factor friction into the mass x acceleration equation. it will always decrease hypothetical force when applied with friction.
How to solve Atwood machine problems efficiently and accurately?
To solve Atwood machine problems efficiently and accurately, first identify the masses of the two objects and the direction of acceleration. Use the equation for the net force on the system to find the acceleration. Then, apply Newton's second law to each object to find the tension in the string. Finally, check your calculations and ensure they are consistent with the given conditions of the problem.
Why does the atwoods machine have smaller accelerations than the acceleration due to gravity?
Part of the mass is on one side, part of the mass is on the other side. As a result, instead of all the force of gravity pulling in the "forward" direction, part of it pulls in the "backward" direction. In the extreme case, the two masses would be the same, and in balance - the device doesn't accelerate at all.
