Calculating Velocity and Acceleration for Circular Motion

In summary, the conversation discusses a body of mass 0.24kg attached to a fixed point by a string of length 0.80m. The body is given a horizontal velocity of 5m/s and follows a circular path to a different position. The homework question asks for the velocity of the body, as well as the centripetal acceleration and the force exerted by the string on the body. It is mentioned that the chapter being covered is "circular motion". The conversation ends with a request for a picture to aid in solving the problem.
  • #1
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Homework Statement


The picture shows a body of mass 0.24kg attached to a fixed point P by a light string of length 0.80m. When the body is at A, vertically below P, it is given an horizontal velocity of 5m/s as shown. It the flollows a circular path to the position B. When it is at B, calculate:
i) the velocity of the body
ii) the centripetal acceleration of the body
iii)the force exerted by the string on the body

Homework Equations


The chapter is "circular motion"



The Attempt at a Solution


I only need part i), i can manage the rest myself.
 
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  • #2
If you could provide us a picture, I'm sure we could work some things out. :D
 
  • #3
heres the pic, sorry:P
 

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What is circular motion?

Circular motion is a type of motion in which an object moves along a circular path. It is a combination of linear motion and rotational motion.

How do you calculate the velocity of an object in circular motion?

The velocity of an object in circular motion can be calculated by dividing the circumference of the circle by the time it takes to complete one full rotation. This is known as the tangential velocity and is represented by the equation v = 2πr/t, where v is velocity, r is the radius of the circle, and t is the time taken for one rotation.

What is the difference between tangential velocity and angular velocity?

Tangential velocity is the linear velocity of an object along a circular path, while angular velocity is the rate of change of the angular displacement of the object. They are related by the equation v = rw, where v is tangential velocity, r is radius, and w is angular velocity.

How do you calculate the acceleration of an object in circular motion?

The acceleration of an object in circular motion is calculated by dividing the change in tangential velocity by the time it takes for that change to occur. It is represented by the equation a = Δv/Δt, where a is acceleration, Δv is the change in tangential velocity, and Δt is the change in time.

What is centripetal acceleration and how is it related to circular motion?

Centripetal acceleration is the acceleration towards the center of a circular path. It is always perpendicular to the tangential velocity and is responsible for keeping an object in circular motion. It is related to circular motion through the equation a = v²/r, where a is centripetal acceleration, v is tangential velocity, and r is radius.

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