Aristurtle Formula Student Practice Quiz 2022

Let a diagnostic test for a virus have: 97% chance to be positive in case someone does have the virus, 95% chance to be negative in case someone does not have the virus. If the analogy of those carrying the virus is 1:40000, calculate the probability of a randomly selected individual for whom the test came out positive to carry the virus. Round your answer to the fourth decimal.

A pulley of diameter of 100mm can rotate around an unmoving shaft of diameter of 50mm. The coefficient of static friction is 0.20 . Calculate the least vertical force which is required to start lifting a load of 2 kN. Round your answer to the second decimal.

For the symmetrical construction depicted below are given L= 2 m and P= 10N. Rods 1 and 3 are identical. Calculate the forces N1 and N2. Round your answers to the second decimal.

A household oven is inside a large room with air and wall temperature of θοο=30ο C. The outer temperature of the oven’s door (thickness of L= 0.25 m) is θ2= 90ο C. Calculate the temperature of the inner surface of the door, θ1. Assume permanent conditions and one-dimensional thermal conduction. For the door is given ε= 0.7, λ= 1.5 W/(m K), α= 25 W/(m2 K). Stefan-Boltzmann constant σ= 5.67 x 10-8 W/(m2 K4). Enter integer answer.

The complex wall depicted below is surrounded by fluid of temperature θοο=25ο C [ α = 1000 W/(m2 K))]. In the inside layer B there exists a homogenous source of energy ⅇ= 4 MW/m3, while there is no such source in layers A and C. Calculate temperatures θ1 and θ2. Round your answers to the first decimal.

A mass of cast iron 50kg at 500K sinks in a large lake of water of 285K and finally comes at thermal equilibrium with it. Assuming an average heat capacity for cast iron of 0.45 kJ/(kg K), calculate the entropy change of cast iron and the entropy produced during this process.Round your answers to the second decimal. Answer in kJ/K.

Depicted below is a dynamic model of a body mass m, which is supported on a cylinder of mass m0 and radius R. If we assume that the cable, which holds body mass m, doesn’t slide on the cylinder and that it can be represented by two linear springs of same stiffness, calculate the eigenfrequences of the system. Insert your answer in km.Round your answers to the second decimal.

Find the logical assumption at the end of the logic gates diagram expressed in the variables A,B,C and D. Flip flops have initial exit zero. For e.g. A’ answer Anot.

Calculate the output resistance of the depicted. Assume β1=β2=120, β3=β4=60, IC1=7 mA, IC3= 20mA. Round your answers to the third decimal.

Calculate the values of parameters K1, K2, and b of the closed loop control system depicted below, which minimize the ITAE criterion.

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