Brakes, Springs, & Flywheels

Question 1

Tension Ratio

Accepted Answer

$\frac{F_1}{F_2}=e^{f	heta}

Question 2

Brake Torque, and Power

Accepted Answer

$T=F_{net}r=F_{net}\frac{D}{2}$ $P=\frac{NT}{factor}

Question 3

Net Force

Accepted Answer

$F_{net}=F_1-F_2

Question 4

Moment at the Hinge Simple

Accepted Answer

$M_h=F_2a-F_aL=0

Question 5

Max Pressure Brake

Accepted Answer

$P_{max}=\frac{F_1}{br}

Question 6

Allowable Stress Brake

Accepted Answer

$S_{max}=\frac{F_1}{bt}

Question 7

Moment at the Hinge Differential

Accepted Answer

$M_h=F_2(c)-F_1(b)-F_a(a)=0

Question 8

Spring Index C

Accepted Answer

$C=\frac{D_m}{d_w}$ $C=\frac{D_o-d_w}{d_w}$ $C=\frac{D_i+d_w}{d_w}$

Question 9

Mean Diameter

Accepted Answer

$D_m={D_o-d_w}$ $D_m=D_i+d_w$ $D_m=\frac{D_i+D_o}{2}

Question 10

Wahl's Factor

Accepted Answer

$K_w=\frac{4c-1}{4c-4}+\frac{0.615}{c}

Question 11

Shear Stres of Spring

Accepted Answer

$S_s=\frac{8K_wFc}{πd_w^2}

Question 12

Factor for Direct Shear

Accepted Answer

$K_s=1+\frac{1}{2c}

Question 13

Curvature Factor

Accepted Answer

$K_c=\frac{K_w}{K_s}

Question 14

Bergstrasser Factor

Accepted Answer

$K_B=\frac{4c+2}{4c-3}$ $K_B=0.99K_w

Question 15

Spring Deflection

Accepted Answer

$\delta=\frac{8Fc^3n}{Gd_w}

Question 16

Plain Ends Total no. of coils, solid length, free length

Accepted Answer

$n$ $L_{solid}=(n+1)d_w$ $L_{free}=np+d_w

Question 17

Ground Ends Total no. of coils, solid length, free length

Accepted Answer

$n$ $L_{solid}=nd_w$ $L_{free}=np

Question 18

Squared Ends Total no. of coils, solid length, free lengt

Accepted Answer

$n+2$ $L_{solid}=(n+3)d_w$ $L_{free}=np+3d_w

Question 19

Squared and Ground

Accepted Answer

$n+2$ $L_{solid}=(n+2)d_w$ $L_{free}=np+2d_w

Question 20

Spring Rate (stiffness, sprint constant, spring scale)

Accepted Answer

$k=\frac{F}{\delta}

Question 21

Springs in Series (k total, F total, deflection total)

Accepted Answer

$\frac{1}{k_T}=\frac{1}{k_1}+\frac{1}{k_2}$ $k_T=\left(\sum\frac{1}{k}\right)^{-1}$ $F_T=F_1=F_2$ $\delta_T=\delta_1+\delta_2

Question 22

Springs in Parallel (k total, F total, deflection total)

Accepted Answer

${k_T}={k_1}+{k_2}$ $k_T=\sum{k}$ $F_T=F_1+F_2$ $\delta_T=\delta_1=\delta_2

Question 23

Energy in Spring

Accepted Answer

$SE=\frac{1}{2}F\delta$ $SE=\frac{1}{2}k\delta^2$

Question 24

Potential Energy Spring

Accepted Answer

$PE=w(h+\delta)

Question 25

Kinetic Energy Spring

Accepted Answer

$KE=\frac{1}{2}mv^2

Question 26

Leaf Spring Stress

Accepted Answer

$S=\frac{6FL}{bt^2n}

Question 27

Leaf Spring Deflection

Accepted Answer

$\delta=\frac{SL^2}{Et}

Question 28

Leaf Spring w/ graduated and full length leaves Stress

Accepted Answer

$S=\frac{6FL}{bt^2}\left(\frac{3}{2n_g+3n_f}ight)

Question 29

Leaf Spring w/ graduated and full length leaves Deflection

Accepted Answer

$\delta=\frac{SL^2}{Et}\left(\frac{2}{3}ight)

Question 30

Period

Accepted Answer

$P=2π\sqrt{\frac{m}{k}}

Question 31

Frequency

Accepted Answer

$F=\frac{1}{2π}\sqrt{\frac{k}{m}}

Question 32

Weight Flywheel

Accepted Answer

$W_{fylwheel}=W_{rim}+W{armshub}

Question 33

Weight of Rim

Accepted Answer

$W_{rim}=\gamma V_{rim}$

Question 34

Specific Weight of Steel

Accepted Answer

$amma_{steel}=7850 \frac{kg}{m^3}=0.284\frac{lb}{in^3}

Question 35

Kinetic Energy Flywheels

Accepted Answer

$∆KE=\frac{1}{2}m_f(v_1^2-v_2^2)$ $∆KE=\frac{1}{2}\frac{W_f}{g}(v_1^2-v_2^2)$

Question 36

Rotational Kinetic Energy Flywheel

Accepted Answer

$KE=\frac{1}{2}I\omega²$ $KE=\frac{1}{2}mr²\omega²

Question 37

Velocity

Accepted Answer

$v=πD_mN$ $v=2πR_mN

Question 38

Coefficient of Fluctuation

Accepted Answer

$C_f=\frac{v_1-v_2}{v_{mean}}$ $C_f=\frac{N_1-N_2}{N_{mean}}

Question 39

Kinetic Energy Flywheel w/ Cf

Accepted Answer

$∆KE=\frac{W_fC_f}{g}(v_m^2)

Question 40

Punching Force

Accepted Answer

$S_{su}=\frac{F}{πDt}$ $F=S_{su}πDt

Question 41

Punching Energy

Accepted Answer

$Energy=\frac{1}{2}(Force)(Thickness)$ $E=\frac{1}{2}S_{su}πDt^2

Question 42

Power Flywheel

Accepted Answer

$P=\frac{Energy}{Time}

Question 43

Punching Force, P other shape not circle

Accepted Answer

$P=\frac{Perimeter}{3}t(k)

Question 44

Ksteel and Kbrass

Accepted Answer

$k_{steel}=80\frac{tons}{in^2}$ $k_{brass}=65\frac{tons}{in^2}

Question 45

Punching Force Circular

Accepted Answer

$P=80dt(steel)$ $P=65dt(brass)

Brakes, Springs, & Flywheels

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