# Object moving in equilateral triangle - magnitude of acceleration

• physos
In summary, an equilateral triangle is a shape with three equal sides and angles, which affects the movement of an object by limiting its possible directions and creating a consistent pattern of movement. The magnitude of acceleration in this scenario is determined by the velocity and angle of the triangle, and can be negative if the object is moving in the opposite direction of the acceleration vector. As the object moves within the triangle, the magnitude of acceleration will change depending on its position. Compared to other geometric shapes, the magnitude of acceleration in an equilateral triangle is similar but may differ in direction.
physos

## Homework Statement

An object moves around a equilateral triangle with a constant speed (magnitude of velocity is constant) of 22.3 m/s. If it moves from the starting to ending point (as shown below) in a time of 12.69 seconds, what is the magnitude of the average acceleration vector in m/s2?

## Homework Equations

V$$\Delta$$V= (rFx-rix/delta(t)) - (rfy-riy\delta (t))

## The Attempt at a Solution

Break the vector into x and y components then use the equation:
(delta)y=v0t-(1/2)gt^2

Thanks! i figured out the answer.. its 3.04

## 1. What is an equilateral triangle and how does it affect the movement of an object?

An equilateral triangle is a geometric shape with three equal sides and angles. In the context of an object moving in an equilateral triangle, it means that the object is following a path with equal distances between each point of the triangle. This affects the movement of the object by limiting its possible directions and creating a consistent pattern of movement.

## 2. What factors determine the magnitude of acceleration of an object moving in an equilateral triangle?

The magnitude of acceleration in this scenario is determined by the velocity of the object and the angle of the triangle. The higher the velocity, the greater the acceleration. Additionally, the steeper the angle of the triangle, the greater the acceleration will be.

## 3. How does the magnitude of acceleration change as the object moves within the equilateral triangle?

The magnitude of acceleration will change depending on the position of the object within the triangle. As the object moves closer to the corners of the triangle, the acceleration will increase due to the change in direction. When the object is at the center of the triangle, the acceleration will be at its lowest point.

## 4. Can the magnitude of acceleration be negative in an equilateral triangle?

Yes, the magnitude of acceleration can be negative in an equilateral triangle. This occurs when the object is moving in the opposite direction of the acceleration vector. For example, if the object is moving towards the top corner of the triangle, the acceleration vector will be pointing downwards, resulting in a negative acceleration value.

## 5. How does the magnitude of acceleration in an equilateral triangle compare to other geometric shapes?

The magnitude of acceleration in an equilateral triangle is similar to other geometric shapes such as a square or a circle. However, the direction of acceleration may differ depending on the shape and the movement of the object. In general, the magnitude of acceleration in an equilateral triangle will be greater than a circle with the same circumference, but less than a square with the same perimeter.

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