rigid body mechanics

Question 1

How to calculate degrees from radians

Answer 1

degrees = 180/pi x radians

Question 2

velocity-time graph: the gradient is equal to ?

Answer 2

acceleration

Question 3

equation for angular velocity

Answer 3

angular velocity = change in angular displacement / time

Question 4

units for angular velocity

Answer 4

rad / s

Question 5

equation for angular acceleration

Answer 5

angular acceleration = change in angular velocity / time

Question 6

equation for density

Answer 6

density (p) = mass / volume

Question 7

units for density

Answer 7

kg / m^3

Question 8

equation for coefficient of friction

Answer 8

friction force / force acting normally to the surfaces

Question 9

equation for pressure

Answer 9

P = F / A

Question 10

units for pressure

Answer 10

pascals (Pa) (or N/M^2)

Question 11

equation for momentum

Answer 11

p = m x v

Question 12

units for momentum

Answer 12

Ns (or kg m s-1)

Question 13

equation for inelastic collision

Answer 13

m1u1 + m2u2 = (m1 + m2) x v

where u is initial velocity and v is final velocity

Question 14

equations for calculating a moment

Answer 14

M = F x d

M = moment of inertia x angular acceleration

Question 15

units for moment

Answer 15

N m

Question 16

mechanical advantage = ?

Answer 16

effort distance / resistance distance

Question 17

tangential linear velocity = ?

Answer 17

radius x angular velocity

Question 18

tangential acceleration = ?

Answer 18

radius x angular acceleration

Question 19

centripedal / radial acceleration = ?

Answer 19

v^2 / r
or
radius x angular velocity squared

Question 20

moment of inertia = ?

2 equations

Answer 20

mass times radius squared

mass times radius of gyration squared

Question 21

units for moment of inertia

Answer 21

kg m(^2)

Question 22

equation for work

Answer 22

work = force x distance

Question 23

units for work

Answer 23

Joules (J)

Question 24

power = ?

Answer 24

P = work / time 
also = Force x velocity

Question 25

angular momentum = ?

Answer 25

moment of inertia x angular velocity

Question 26

units for angular momentum

Answer 26

kg m(^2) rad s(^-1)

Question 27

Kinetic energy = ?

Answer 27

1/2 mv(^2) | or 1/2 moment of inertia x angular velocity (^2)

Question 28

Potential energy = ?

Answer 28

mgh

Question 29

what are the components of SUVAT

Answer 29

``` S = distance U = initial velocity V = final velocity A = acceleration T = time ```

Question 30

SUVAT equations (4)

Answer 30

``` v^2 = u^2 + 2as v = u + at s = 1/2 (u+v)t s = ut + 1/2at^2 ```

Question 31

what is power

Answer 31

rate at which work is done/energy is expended