Answer:
(4.5125 * 10^-3 kg.m^2)ω_A^2
Explanation:
solution:
Moments of inertia:
I = mk^2
Gear A: I_A = (1)(0.030 m)^2 = 0.9*10^-3 kg.m^2
Gear B: I_B = (4)(0.075 m)^2 = 22.5*10^-3 kg.m^2
Gear C: I_C = (9)(0.100 m)^2 = 90*10^-3 kg.m^2
Let r_A be the radius of gear A, r_1 the outer radius of gear B, r_2 the inner radius of gear B, and r_C the radius of gear C.
r_A=50 mm
r_1 =100 mm
r_2 =50 mm
r_C=150 mm
At the contact point between gears A and B,
r_1*ω_b = r_A*ω_A
ω_b = r_A/r_1*ω_A
= 0.5ω_A
At the contact point between gear B and C.
At the contact point between gears A and B,
r_C*ω_C = r_2*ω_B
ω_C = r_2/r_C*ω_B
= 0.1667ω_A
kinetic energy T = 1/2*I_A*ω_A^2+1/2*I_B*ω_B^2+1/2*I_C*ω_C^2
=(4.5125 * 10^-3 kg.m^2)ω_A^2
Answer:
The stand-by equipment is technically required in case where the we need some urgent equipment for the purpose of maintenance in emergency and if the other equipment system get fails. the term stand by means backup equipment and component.
In the reliability engineering, we always need to provide an extra equipment or component in case of emergency. It is basically used so that it does not affect any type of productivity in the organization. It is also increase the redundancy of the equipment.
Answer:
Part a : The SI unit of σ is Pascal.
Part b : The pressure is 414.28 psi.
Explanation:
Part a
The equation is given as
As per the dimensional analysis
![M=[N-m]\\y=[m]\\l=[m^4]](https://tex.z-dn.net/?f=M%3D%5BN-m%5D%5C%5Cy%3D%5Bm%5D%5C%5Cl%3D%5Bm%5E4%5D)
So the equation becomes
![\sigma =\frac{[N-m][m]}{[m^4]}\\\sigma =\frac{[N][m^2]}{[m^4]}\\\sigma =\frac{[N]}{[m^{4-2}]}\\\sigma =\frac{[N]}{[m^{2}]}\\](https://tex.z-dn.net/?f=%5Csigma%20%3D%5Cfrac%7B%5BN-m%5D%5Bm%5D%7D%7B%5Bm%5E4%5D%7D%5C%5C%5Csigma%20%3D%5Cfrac%7B%5BN%5D%5Bm%5E2%5D%7D%7B%5Bm%5E4%5D%7D%5C%5C%5Csigma%20%3D%5Cfrac%7B%5BN%5D%7D%7B%5Bm%5E%7B4-2%7D%5D%7D%5C%5C%5Csigma%20%3D%5Cfrac%7B%5BN%5D%7D%7B%5Bm%5E%7B2%7D%5D%7D%5C%5C)
As the dimensions are of pressure so the SI unit of σ is Pascal.
Part b
Pressure in US customary base units is given in psi so
So
So the pressure is 414.28 psi.
