Additional Formulas

Question 1

Frequency

Accepted Answer

$F=\frac{1}{T}$ $F=\frac{\omega}{2π}

Question 2

Critical Velocity

Accepted Answer

$\omega_{cr}=\sqrt{\frac{576EIg}{\omega L³}}

Question 3

Inertia Of Flywheel

Accepted Answer

$I_M=\frac{1}{2}mr²$ $m=\rho V$ $V=At

Question 4

Inertia of Flywheel if radius of gyration is used

Accepted Answer

$I_M=mk²

Question 5

Radius of Gyration

Accepted Answer

$k=\frac{r}{2}

Question 6

Rotational Kinetic Energy

Accepted Answer

$KE_r=\frac{1}{2}I\omega²

Question 7

Ideal Mechanical Advantage For Jackscrew

Accepted Answer

$IMA=\frac{2πL}{P}

Question 8

Design Horsepower

Accepted Answer

$P_{design}=P_{gen}×ServiceFactor

Question 9

Width Space

Accepted Answer

$S=t+B

Question 10

Frequency English (in,lb)

Accepted Answer

$f=\frac{1}{2π}\sqrt{\frac{k×12×32.2}{m}}

Question 11

Actual Mechanical Advantage For Inclined Plane

Accepted Answer

$AMA=\frac{1}{\frac{H}{L}+\frac{F_f}{W}}

Question 12

Tolerance

Accepted Answer

$Tolerance=D_{max}-D_{min}

Question 13

Deflection Other Formula

Accepted Answer

$\delta=\frac{4FL³}{Ebt²n}

Question 14

Factor of Safety

Accepted Answer

$FS=\frac{F_{holding}}{F_{developed}}

Question 15

Alpha in Cone Clutch

Accepted Answer

$sin\alpha=\frac{}{}

Question 16

Power Per screw Set screw

Accepted Answer

$P=\frac{DNd^{2.3}}{50}

Question 17

Number of Screws

Accepted Answer

$No.Screw=\frac{P_{transmitted}}{P_{perscrew}}

Question 18

Outside Diameter (50% weight saved by replacing solid shaft with hollow shaft)

Accepted Answer

$D_o=\left[\frac{1+\sqrt{2}}{2}ight]D_s

Question 19

Bursting Speed For Flywheel

Accepted Answer

$v=\sqrt{kS_t}

Question 20

Mass of Flywheel Given density

Accepted Answer

$m=\rho V$ $V=Area×Thickness

Question 21

Shear Stress Fillet Welds

Accepted Answer

$S=\frac{F}{\frac{\sqrt{2}}{2}tL}

Question 22

Shear Stress on Nut Threads

Accepted Answer

$S_s=\frac{F}{\frac{1}{2}πDL}

Question 23

Efficiency of Power Screw

Accepted Answer

$e=\frac{WL}{F(2πr)}

Question 24

Working Stress

Accepted Answer

$W=S_t(0.55d²-0.25d)

Question 25

Diameter: Allowable twist not exceeding 1°

Accepted Answer

$D=4.0⁴\sqrt{\frac{P}{N}}

Question 26

Sevolute

Accepted Answer

$S=\frac{1}{cos	heta}-(tan	heta-rad)

Question 27

Involute

Accepted Answer

$I=tan	heta-rad

Question 28

Life Hrs

Accepted Answer

$L_{10}=\frac{16667}{N}\left(\frac{C}{P}\right)^3$ $L_{10}=\frac{16667}{N}\left(\frac{C}{P}\right)^{\frac{10}{3}}$

Question 29

Million Revolutions

Accepted Answer

$L_{10}=\left(\frac{C}{P}\right)^3$ $L_{10}=\left(\frac{C}{P}ight)^{\frac{10}{3}}

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