# Rotational motion question, can anyone check over this result please?

• knowlewj01
In summary, rotational motion is the movement of an object around an axis or center point. It differs from linear motion in that it involves movement along a curved path and can involve changes in both position and orientation. The formula for calculating rotational motion is torque = moment of inertia x angular acceleration. Rotational motion can affect objects by causing them to spin, topple, or wobble, and it is used in many everyday objects and activities, as well as in machines and sports.
knowlewj01

## Homework Statement

An inextensible light string of length 2 m is fixed at one end A and carries at its other end B a particle of mass 3 kg, which is rotating in a horizontal circle whose centre is 1 m vertically below A. Find the angular velocity of the particle and the tension in the string.

## Homework Equations

Attached my diagram with my solution.

## The Attempt at a Solution

could someone take a look at this to make sure i have gone about it correctly. thanks.

#### Attachments

• M1Q.doc
77.5 KB · Views: 222
Looks good.

As a scientist, it is important to always double-check and verify our results to ensure accuracy. In this case, it appears that the approach used to solve the problem is correct. The diagram provided shows a clear understanding of the setup and the equations used are appropriate for rotational motion.

To find the angular velocity, the equation ω = v/r was correctly used, where v is the linear velocity and r is the radius of the circle. The value for v was found using the equation v = √(gR), where g is the acceleration due to gravity and R is the distance from the center of the circle to the particle. This resulted in an angular velocity of approximately 1.74 rad/s.

To find the tension in the string, the equation T = mv^2/r was used, where T is the tension, m is the mass of the particle, and v and r are the same values used to find the angular velocity. This resulted in a tension of approximately 10.44 N.

Overall, it seems that the calculations and approach used are correct. However, it is always a good idea to have someone else review and verify the results to ensure accuracy.

## 1. What is rotational motion?

Rotational motion is the movement of an object around an axis or center point, such as the rotation of a wheel or the spinning of a top.

## 2. How is rotational motion different from linear motion?

Rotational motion involves movement along a curved path, while linear motion involves movement along a straight path. Additionally, rotational motion can involve changes in both position and orientation, while linear motion only involves changes in position.

## 3. What is the formula for calculating rotational motion?

The formula for rotational motion is torque = moment of inertia x angular acceleration. Torque is the force that causes rotation, moment of inertia is the resistance to rotation, and angular acceleration is the rate of change of angular velocity.

## 4. How does rotational motion affect objects?

Rotational motion can affect objects in various ways, such as causing them to spin, topple, or wobble. It can also impact an object's stability and how it moves through a medium, such as air or water.

## 5. How is rotational motion used in everyday life?

Rotational motion is used in many everyday objects and activities, such as driving a car, riding a bike, and throwing a ball. It is also important in machines and technology, such as turbines and motors, and is a key concept in sports like gymnastics and figure skating.

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