Flashcards in Engineering - Rotational Dynamics Deck (20)

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1

## Define angular displacement

### Angle turned through

2

## Define angular velocity

### Rate of change of angular displacement

3

## Define angular acceleration

### Rate of change angular velocity

4

## How is angular acceleration determined for a rotating object that changes angular speed?

### Angular version of suvat

5

## How is speed and acceleration at a point on a rotating object worked out?

### Angular version multiplied by radius

6

## Angular displacement against time graph, what is gradient?

### Angular velocity

7

## Angular velocity against time graph, what is gradient and area under?

###
Gradient: angular acceleration

Area under: angular displacement

8

## Define torque

### Force times perpendicular distance from the axis to the line of action of the force

9

## Define inertia

### An object's resistance to change of its motion

10

## What is the moment of inertia?

### Moment of inertia, I, of a body about a given axis is defined as Σmr^2 for all the points in the body, where m is the mass of each point and r its perpendicular distance from the axis

11

## For a hoop of mass M and radius R, what is the moment of inertia?

### MR^2

12

## For a disc of mass M and radius R, what is the moment of inertia?

### 1/2 MR^2

13

## For a uniform beam of length L and mass M, what is the moment of inertia through its centre?

### 1/12 ML^2

14

## For a uniform beam of length L and mass M, what is the moment of inertia through its end?

### 1/3 ML^2

15

## What is the kinetic energy of a rotation object proportional to?

###
Moment of inertia about axis of rotation

Square of its angular speed

16

## How can moment of inertia for a fly wheel be calculated?

###
Using 1/2 (Iω^2 + Mv^2) = Mgh

17

## What is angular momentum?

### Produce of moment of inertia and angular velocity

18

## What is torque in relation to angular momentum?

### Torque is rate of change of angular momentum

19

## Define angular impulse

### Change in angular momentum

20