Formula Flashcards
(33 cards)
1
Q
Angular velocity
A
W=^ø/^t
2
Q
Velocity
A
V=rw
3
Q
Period
A
T=2PI/w
4
Q
Angular acceleration
A
a=^w/^t
5
Q
Centripetal acceleration
A
A=rw^2 =v^2/r
6
Q
Centripetal force
A
F=mrw^2
7
Q
Rpm to rad/s
A
Rpm(2pi/60)=rad/s
8
Q
Angle
A
Ø=s/r
9
Q
Torque trig
A
t=Frsinø
10
Q
Max torque
A
F=ųN
11
Q
Velocity for belts
A
V1=v2=v3
12
Q
Inelastic tension
A
T1=t3=t3
13
Q
Gears
A
W2r2=w1r1
14
Q
Gear ratio
A
GR=N1/N2 =r1/r2
15
Q
Elasticity
A
F=kx=(3EI/L^3)y
16
Q
COG semi circle with diameter
A
X=4r/3pi
17
Q
COG semi circle
A
X=2r/pi
18
Q
COG Part of circle
A
x = 2rsinø/3ø
19
Q
COG Triangle
A
H= h/3
20
Q
COG 2 circles with coords
A
X=(M1x1+M2x2)/(M1+M2)
21
Q
Radius of gyration
A
K=sqrt(I/m) when I=0.5*mr^2 & k = r/sqrt(2)
22
Q
Parallel axis theory
A
Io=I1+md^2
23
Q
Perpendicular axis theory
A
I2=Ix+Iy
24
Q
Inertia of disk
A
Length = 0.25mr centre = 0.5mr^2
25
Inertia solid cylinder
Centre = 1/2mr^2 length = 0.25*mr^2
26
Inertia hollow cylinder
Length = 0.5mr^2 centre= mr^2
27
Inertia sphere
Hollow = 2/3mr^2 solid = 2/5mr^2
28
Inertia pipe
Length = 1/12ml^2 end= 1/3ml^2
29
Net power
Pnet=d/dt(KE)
30
Kinetic energy equations
1/2mv^2 circle on axis=1/2Iow^2 free circle = 1/2mv^2+1/2Iow^2
31
Potential energy
Mgh hooks= 1/2kx^2
32
Work
W=fd=tø
33
Power equations
P=fv=tw=mgv
