Equations

Question 0

Torque

Answer 0

T=Fd
Force x displacement
Angular motion

Question 1

Force

Answer 1

F=ma
mass x acceleration
Linear motion

Question 2

Moment

Answer 2

M=Ia

Moment of inertia x angular acceleration

Question 3

Inertia

Answer 3

mk2

mass x radius of gyration

Question 4

Hypotenuse

Answer 4

ab2 = ac2 + bc2

Question 5

SOH CAH TOA

Answer 5

Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent

Question 6

Linear Motion

Acceleration

Answer 6

acceleration = change in velocity / time
= (final velocity - initial velocity) / time

a = (v-u) / t

Question 7

Linear Motion

Final velocity

Answer 7

we know that: a = (v-u)/t
so at = v-u
so u+at = v

v = u+at

Question 8

Linear Motion

Average Velocity

Answer 8

Average velocity = displacement / time
= d/s

Average velocity = initial velocity + final velocity / 2
= (u+v) / 2
= 1/2(u+v)

Question 9

Linear Motion

Displacement

Answer 9

Displacement = Average velocity x time
= ((initial velo + final velo) / 2) x time
s = 1/2(u+v) x t

Question 10

Linear Motion

work out known parameters and insert into equation

Answer 10

displacement  (s)     time  (t)     intial velocity  (u)
acceleration  (a)     final velocity  (v)
1.  v = u+at  
      t = (v-u)/a
      a = (v-u)/t
2.   s = 1/2 (u+v)t
                       (  v  )
      s = 1/2 (u+u+at)t
      s = 1/2 (2u+at)t
      s = 1/2 (2ut+at2)
3.   s = ut+ 1/2 at2
                               (   t   )
      s = 1/2 (u+v) x (v-u)/a
      s = (u+v) x (v-u) / 2a
      s = (v2-vu+vu-u2) / 2a
      s = (v2-u2) / 2a
  2as = v2-u2
4. v2 = u+2as

Question 11

Angular Velocity

Answer 11

angular displacement / time taken for change

Question 12

Angular Acceleration

Answer 12

angular velocity / time taken for change