Additional Formulas

29 flashcardsby Juhn
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1
Frequency
$F=\frac{1}{T}$
$F=\frac{\omega}{2π}
2
Critical Velocity
$\omega_{cr}=\sqrt{\frac{576EIg}{\omega L³}}
3
Inertia Of Flywheel
$I_M=\frac{1}{2}mr²$
$m=\rho V$
$V=At
4
Inertia of Flywheel if radius of gyration is used
$I_M=mk²
5
Radius of Gyration
$k=\frac{r}{2}
6
Rotational Kinetic Energy
$KE_r=\frac{1}{2}I\omega²
7
Ideal Mechanical Advantage For Jackscrew
$IMA=\frac{2πL}{P}
8
Design Horsepower
$P_{design}=P_{gen}×ServiceFactor
9
Width Space
$S=t+B
10
Frequency English (in,lb)
$f=\frac{1}{2π}\sqrt{\frac{k×12×32.2}{m}}
11
Actual Mechanical Advantage For Inclined Plane
$AMA=\frac{1}{\frac{H}{L}+\frac{F_f}{W}}
12
Tolerance
$Tolerance=D_{max}-D_{min}
13
Deflection Other Formula
$\delta=\frac{4FL³}{Ebt²n}
14
Factor of Safety
$FS=\frac{F_{holding}}{F_{developed}}
15
Alpha in Cone Clutch
$sin\alpha=\frac{}{}
16
Power Per screw Set screw
$P=\frac{DNd^{2.3}}{50}
17
Number of Screws
$No.Screw=\frac{P_{transmitted}}{P_{perscrew}}
18
Outside Diameter (50% weight saved by replacing solid shaft with hollow shaft)
$D_o=\left[\frac{1+\sqrt{2}}{2}\right]D_s
19
Bursting Speed For Flywheel
$v=\sqrt{kS_t}
20
Mass of Flywheel Given density
$m=\rho V$
$V=Area×Thickness
21
Shear Stress Fillet Welds
$S=\frac{F}{\frac{\sqrt{2}}{2}tL}
22
Shear Stress on Nut Threads
$S_s=\frac{F}{\frac{1}{2}πDL}
23
Efficiency of Power Screw
$e=\frac{WL}{F(2πr)}
24
Working Stress
$W=S_t(0.55d²-0.25d)
25
Diameter: Allowable twist not exceeding 1°
$D=4.0⁴\sqrt{\frac{P}{N}}
26
Sevolute
$S=\frac{1}{cos\theta}-(tan\theta-rad)
27
Involute
$I=tan\theta-rad
28
Life Hrs
$L_{10}=\frac{16667}{N}\left(\frac{C}{P}\right)^3$
$L_{10}=\frac{16667}{N}\left(\frac{C}{P}\right)^{\frac{10}{3}}$
29
Million Revolutions
$L_{10}=\left(\frac{C}{P}\right)^3$
$L_{10}=\left(\frac{C}{P}\right)^{\frac{10}{3}}
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