Formula

Question 1

Angular velocity

Answer 1

W=^ø/^t

Question 2

Velocity

Answer 2

V=rw

Question 3

Period

Answer 3

T=2PI/w

Question 4

Angular acceleration

Answer 4

a=^w/^t

Question 5

Centripetal acceleration

Answer 5

A=rw^2 =v^2/r

Question 6

Centripetal force

Answer 6

F=mrw^2

Question 7

Rpm to rad/s

Answer 7

Rpm(2pi/60)=rad/s

Question 8

Angle

Answer 8

Ø=s/r

Question 9

Torque trig

Answer 9

t=Frsinø

Question 10

Max torque

Answer 10

F=ųN

Question 11

Velocity for belts

Answer 11

V1=v2=v3

Question 12

Inelastic tension

Answer 12

T1=t3=t3

Question 13

Gears

Answer 13

W2r2=w1r1

Question 14

Gear ratio

Answer 14

GR=N1/N2 =r1/r2

Question 15

Elasticity

Answer 15

F=kx=(3EI/L^3)y

Question 16

COG semi circle with diameter

Answer 16

X=4r/3pi

Question 17

COG semi circle

Answer 17

X=2r/pi

Question 18

COG Part of circle

Answer 18

x = 2rsinø/3ø

Question 19

COG Triangle

Answer 19

H= h/3

Question 20

COG 2 circles with coords

Answer 20

X=(M1x1+M2x2)/(M1+M2)

Question 21

Radius of gyration

Answer 21

K=sqrt(I/m) when I=0.5*mr^2 & k = r/sqrt(2)

Question 22

Parallel axis theory

Answer 22

Io=I1+md^2

Question 23

Perpendicular axis theory

Answer 23

I2=Ix+Iy

Question 24

Inertia of disk

Answer 24

Length = 0.25mr centre = 0.5mr^2

Question 25

Inertia solid cylinder

Answer 25

Centre = 1/2mr^2 length = 0.25*mr^2

Question 26

Inertia hollow cylinder

Answer 26

Length = 0.5mr^2 centre= mr^2

Question 27

Inertia sphere

Answer 27

Hollow = 2/3mr^2 solid = 2/5mr^2

Question 28

Inertia pipe

Answer 28

Length = 1/12ml^2 end= 1/3ml^2

Question 29

Net power

Answer 29

Pnet=d/dt(KE)

Question 30

Kinetic energy equations

Answer 30

1/2mv^2 circle on axis=1/2Iow^2 free circle = 1/2mv^2+1/2Iow^2

Question 31

Potential energy

Answer 31

Mgh hooks= 1/2kx^2

Question 32

Work

Answer 32

W=fd=tø

Question 33

Power equations

Answer 33

P=fv=tw=mgv