# How to find the total acceleration (magnitude and direction) of a rotating disk?

• Physicsnoob90
In summary, the problem involves a disk with a radius of 16 cm rotating around a fixed axis at its center. It is accelerated from rest to an angular velocity of +13rev/min in +0.27 rev. The angular acceleration is found to be 0.546 rad/s^2. The next part of the problem, part (B), asks for the total acceleration (magnitude and direction) of the particle located at the end of this time interval. This requires an understanding of the different types of acceleration. It is suggested to reread course notes and think about the concept of acceleration in order to solve this part of the problem.
Physicsnoob90

## Homework Statement

A disk of radius 16 cm rotating around a fixed axis at its center is accelerated from rest to an angular velocity of +13rev/min in +0.27 rev.

(A )Find the angular acceleration (in rad/s^2), which is assumed to be constant, during this time interval.
(B) what is the total acceleration (magnitude and direction) of the particle located altho the end of this time interval

## The Attempt at a Solution

(a) after converting and using ωf^2 = ωi^2+2αΘ, i got α=0.546 rad/s^2

I don't know how to start (B). Can someone help me?

i.e. What are the different kinds of acceleration that you know about?
See if you can describe where you have a problem with the question.

## 1. What is rotation acceleration?

Rotation acceleration, also known as angular acceleration, is the rate of change of angular velocity over time. It is a measure of how quickly an object's rotational speed is changing.

## 2. How is rotation acceleration different from linear acceleration?

Rotation acceleration is specific to rotational motion, whereas linear acceleration is specific to linear motion. Rotation acceleration measures the change in angular velocity, while linear acceleration measures the change in linear velocity.

## 3. What causes rotation acceleration?

Rotation acceleration is caused by a net torque acting on an object. Torque is a measure of the force that causes an object to rotate.

## 4. How is rotation acceleration measured?

Rotation acceleration is typically measured in units of radians per second squared (rad/s^2). It can be calculated by dividing the change in angular velocity by the change in time.

## 5. What are some real-world applications of rotation acceleration?

Rotation acceleration is important in many fields, including physics, engineering, and astronomy. Some examples of real-world applications include understanding the motion of planets and stars, designing spinning machines and vehicles, and analyzing the movement of athletes and dancers.

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